*3.
-4*t*(t + 1)**3*(t + 3)
Let l(w) = 11*w**3 - 11*w + 5. Let u(j) = -6*j**3 + 6*j - 3. Let k(y) = 3*l(y) + 5*u(y). Factor k(p).
3*p*(p - 1)*(p + 1)
Suppose 0*q**2 + 0 + 1/2*q**3 - 1/4*q - 1/4*q**5 + 0*q**4 = 0. Calculate q.
-1, 0, 1
Suppose 2*x + 3*s = s - 8, -5*s = -5*x + 20. Suppose x = 2*n + n. What is y in n*y + 0 + 6/5*y**3 - 2/5*y**2 = 0?
0, 1/3
Suppose -5 + 13 = 4*l. Suppose -l*a - 1 = -5. Suppose 2/3*g**3 + a*g**2 + 2/3 + 2*g = 0. Calculate g.
-1
Let v = -108 + 110. Find y such that 0 - 3/4*y - 3/4*y**v = 0.
-1, 0
Determine t, given that -15/2*t**5 + 9*t + 81/2*t**3 + 0 + 9/2*t**4 + 75/2*t**2 = 0.
-1, -2/5, 0, 3
Let s(x) be the second derivative of x**7/56 + x**6/60 - x**5/8 - x**4/4 + x**3/2 - 3*x. Let v(z) be the second derivative of s(z). Suppose v(w) = 0. What is w?
-1, -2/5, 1
Let -4/3 + 32/3*f**4 + 34/3*f + 16/3*f**3 - 26*f**2 = 0. Calculate f.
-2, 1/4, 1
Let q(w) be the second derivative of 2*w**7/21 + 8*w**6/15 + 4*w**5/5 - 2*w**4/3 - 10*w**3/3 - 4*w**2 - 16*w. Determine r so that q(r) = 0.
-2, -1, 1
Let l(w) be the third derivative of -w**7/840 - 3*w**6/80 - 97*w**5/240 - 3*w**4/2 - 8*w**3/3 + 7*w**2. Let l(z) = 0. Calculate z.
-8, -1
Let q(x) be the third derivative of -x**8/16800 - x**4/12 - x**2. Let c(n) be the second derivative of q(n). Suppose c(z) = 0. What is z?
0
Let g be (-7)/((-840)/(-18)) + 4/10. What is b in -g*b**2 + 0 - 1/4*b = 0?
-1, 0
Let c(j) be the first derivative of 5*j**3/3 - 10*j**2 + 15*j - 1. Find v, given that c(v) = 0.
1, 3
Let a(p) be the first derivative of 5 - 2/5*p**3 + 8/5*p + 1/10*p**4 + 0*p**2. Factor a(y).
2*(y - 2)**2*(y + 1)/5
Solve 0 + 0*o + 0*o**2 - 4/3*o**3 + 4/3*o**4 = 0 for o.
0, 1
Let p(s) be the third derivative of -s**5/20 - s**4/4 + 4*s**3 + 11*s**2. Suppose p(f) = 0. Calculate f.
-4, 2
Let -9*c**2 + c + 3*c**3 + c + 4*c = 0. What is c?
0, 1, 2
Suppose 0 = -4*y + 2*l + 20, 4*y - 5*l - 20 = 6. Let m = -7 - -11. Factor 2*x**2 - x**4 - 1 + y*x**m - 4*x**4.
-(x - 1)**2*(x + 1)**2
Solve -29*q**2 + 8*q**2 - 15*q**2 + 8*q = 0.
0, 2/9
Let c(a) = 11*a**2 - 43*a + 101. Let u(i) = -16*i**2 + 65*i - 151. Let m(v) = 7*c(v) + 5*u(v). Factor m(f).
-3*(f - 4)**2
Let d(l) be the second derivative of -l**4/3 + 4*l**3/3 + 16*l**2 + l. Determine n so that d(n) = 0.
-2, 4
Let c(q) = 15*q**4 - 15*q**3 - 15*q**2 + 5*q + 5. Let i(s) = 8*s**4 - 8*s**3 - 7*s**2 + 3*s + 3. Let d(w) = 3*c(w) - 5*i(w). Let d(l) = 0. What is l?
-1, 0, 2
Let u(h) = -2*h**2 - 2*h + 5. Let c(s) = -6*s**2 - 6*s + 16. Let z be 274/(-8) + (-1)/(-4). Let w = -18 - z. Let l(x) = w*u(x) - 5*c(x). Factor l(j).
-2*j*(j + 1)
Let j(k) be the third derivative of -k**5/90 - k**4/36 - 2*k**2. Let j(u) = 0. What is u?
-1, 0
Let q(i) = -i + 1. Let o be q(-3). Factor c**4 - 2*c**2 + c**o + 0*c**4.
2*c**2*(c - 1)*(c + 1)
Let i(f) be the second derivative of -f**7/147 - 26*f**6/105 - 241*f**5/70 - 460*f**4/21 - 1216*f**3/21 - 512*f**2/7 + 5*f. Suppose i(l) = 0. Calculate l.
-8, -1
Let i(y) be the third derivative of y**8/3360 - y**7/1680 + y**3/2 - y**2. Let d(n) be the first derivative of i(n). Factor d(t).
t**3*(t - 1)/2
Suppose -2*v = -2*v - 2*v. Let h(r) be the third derivative of 1/80*r**6 - 1/40*r**5 - 1/420*r**7 + 0 + 0*r + v*r**3 - r**2 + 1/48*r**4. Factor h(d).
-d*(d - 1)**3/2
Factor 0 - 3/4*m**3 + 1/4*m**2 + 0*m.
-m**2*(3*m - 1)/4
Let d = 4 - 5. Let c = d - -4. Solve 2*u - 5*u**3 + 0*u - 3*u**2 + u**2 + 2 + 3*u**c = 0 for u.
-1, 1
Let j(a) be the second derivative of a**5/90 - 5*a**4/27 + 25*a**3/27 - 18*a. Factor j(w).
2*w*(w - 5)**2/9
Let a = 592 - 589. Factor 2/3*p + 2/9*p**4 + 2/9*p**2 - 2/3*p**a - 4/9.
2*(p - 2)*(p - 1)**2*(p + 1)/9
Suppose 10 - 44 = -17*u. Factor 2/7*y**u + 4/7*y - 6/7.
2*(y - 1)*(y + 3)/7
Let a(v) = -4*v. Suppose -5*d + d = 4. Let g be a(d). Factor s**g + s + s**2 - s**3 - s**2 - s**2.
s*(s - 1)**2*(s + 1)
Let q(g) be the first derivative of -2/5*g**5 + 0*g**4 - 1/6*g**6 - 4 + 0*g + 2/3*g**3 + 1/2*g**2. Solve q(r) = 0 for r.
-1, 0, 1
Let w(b) be the third derivative of -b**5/30 + b**4/18 - 19*b**2. What is v in w(v) = 0?
0, 2/3
Suppose 3*g - 2*g - 4*p = 15, 4*g = 2*p + 18. Factor 0 - 2*c + 0 + 8*c**4 + 10*c**2 - 9*c**g - 7*c**3.
2*c*(c - 1)*(2*c - 1)**2
Let h(c) be the first derivative of c**3/12 + 3*c**2/8 + c/2 + 24. Determine q, given that h(q) = 0.
-2, -1
Let b(o) be the first derivative of o**4/14 + 2*o**3/7 + 2*o**2/7 + 10. Factor b(j).
2*j*(j + 1)*(j + 2)/7
Factor -8*v**2 - 20*v - 15*v**3 - 30*v**2 - 2*v**2.
-5*v*(v + 2)*(3*v + 2)
Let c(w) = 5*w**4 - 10*w**3 - 5*w**2 + 5*w + 10. Let r(f) = -f**5 - 5*f**4 + 10*f**3 + 6*f**2 - 5*f - 9. Let t(x) = 4*c(x) + 5*r(x). Factor t(a).
-5*(a - 1)**2*(a + 1)**3
Let q(v) be the second derivative of v**7/1575 + 7*v**6/1800 - v**5/150 + v**4/4 - 3*v. Let t(f) be the third derivative of q(f). Factor t(h).
2*(h + 2)*(4*h - 1)/5
Let z(m) = -12*m**2 - 18*m - 3. Let y be (5 - 5) + 1*-3. Let k(w) = 11*w**2 + 19*w + 4. Let t(i) = y*k(i) - 2*z(i). Determine r, given that t(r) = 0.
-2, -1/3
Factor -3 + 3 - 8*o + 5*o**2 - 3*o**2.
2*o*(o - 4)
Let v(p) be the second derivative of p**6/50 - p**5/50 - 3*p. Suppose v(i) = 0. Calculate i.
0, 2/3
Suppose 2*q - a = 2 - 5, 3*q - 18 = -3*a. Let f = 3 - q. Factor 3 + 6 + 2*t**f - t**2 + 6*t.
(t + 3)**2
Let x(s) be the first derivative of -3*s**4/8 + s**3/2 + 3*s**2/2 - 4. Factor x(k).
-3*k*(k - 2)*(k + 1)/2
Let h be 3/10*(10/(-15) + 6). Solve h - 8/5*j + 2/5*j**2 = 0 for j.
2
Solve -2/9*l**2 - 4/9 + 2/3*l = 0 for l.
1, 2
Let l(m) be the second derivative of m**4/48 - m**3/4 + m**2 - 3*m + 3. Find r such that l(r) = 0.
2, 4
Let p(l) = -21*l**3 + 57*l**2 - 29*l - 17. Let y(d) = -d - 1. Let j(v) = p(v) - 5*y(v). Factor j(o).
-3*(o - 2)*(o - 1)*(7*o + 2)
Let s(b) be the third derivative of b**5/210 + b**4/42 + 3*b**2. Factor s(r).
2*r*(r + 2)/7
Let w(p) be the third derivative of -p**7/105 - p**6/30 - p**5/30 - 3*p**2. Let w(t) = 0. Calculate t.
-1, 0
Suppose -4 = 230*y - 232*y. Determine k, given that -2/3*k**y + 0 - 1/3*k**3 - 1/3*k = 0.
-1, 0
Let c(j) = j. Let u be 4/(-6) - 6/(-9). Let d be c(u). Let -4 + 3*q**2 + d*q + 5 + q**3 + 3*q = 0. What is q?
-1
Let p(t) = 4*t**4 + 8*t**3 - 17*t**2 + 19*t - 14. Let a(w) = -5*w**4 - 8*w**3 + 16*w**2 - 18*w + 15. Let z(u) = 5*a(u) + 6*p(u). Factor z(c).
-(c - 3)**2*(c - 1)**2
Let r be 4/5*((-18)/(-8) - 2). Factor 0*a + 0 - r*a**2.
-a**2/5
Factor -3*z**2 + 9/2*z - 2 + 1/2*z**3.
(z - 4)*(z - 1)**2/2
Let u(y) be the first derivative of -y**4/5 - 4*y**3/3 - 8*y**2/5 - 13. Suppose u(j) = 0. What is j?
-4, -1, 0
Factor -10*l - 4/3 - 22/3*l**3 - 16*l**2.
-2*(l + 1)**2*(11*l + 2)/3
Let j(s) be the third derivative of 0*s + s**2 - 1/3*s**4 + 0 - 1/180*s**6 + 1/15*s**5 + 1/3*s**3. Let g(q) be the first derivative of j(q). Factor g(x).
-2*(x - 2)**2
What is u in -u**4 + 2*u**3 + 4*u**4 - u**4 - 4*u**4 = 0?
0, 1
Let i be (-3)/(-10) - ((-13)/(-6) + -2). Let s(w) be the first derivative of -1/2*w**4 + 8/25*w**5 + 3 + 0*w + 0*w**2 + i*w**3. Determine p so that s(p) = 0.
0, 1/4, 1
Suppose -w - 4*t - 5 - 10 = 0, 3*t = -4*w - 8. Determine p so that w - 1 + 0*p**4 - p**3 - p**4 = 0.
-1, 0
Find i, given that 9/2*i**3 + 54*i**4 + 0 - 19*i**2 - 27/2*i**5 + 4*i = 0.
-2/3, 0, 1/3, 4
Suppose d + 3*h - 17 = 0, -3*d = -2*d + h - 9. Solve -2/9*q**d - 8/9*q + 2/3*q**3 - 4/9*q**4 + 0 + 8/9*q**2 = 0.
-2, 0, 1
Let p(m) be the first derivative of m**4/12 - m**3/6 - m + 3. Let w(i) be the first derivative of p(i). Determine c, given that w(c) = 0.
0, 1
Let g**4 - 203 + 203 - g**2 = 0. Calculate g.
-1, 0, 1
Let j(r) = -5*r**3 - 2*r**2 + 3*r. Let p(z) = -11*z**3 - 4*z**2 + 7*z. Let c = 4 - 1. Let k(s) = c*p(s) - 7*j(s). Let k(g) = 0. Calculate g.
-1, 0
Let m be (-46)/(-28)*(-12)/15. Let n = m - -8/5. Factor -2/7*b**3 - 2/7 + n*b**2 + 2/7*b.
-2*(b - 1)**2*(b + 1)/7
Let f(j) be the third derivative of -j**6/30 - j**5/5 - j**4/2 - 2*j**3/3 - 5*j**2. Factor f(n).
-4*(n + 1)**3
Factor 2/3*c**2 + 4/3*c + 2/3.
2*(c + 1)**2/3
Find h, given that -h**5 - 10*h**5 - 46*h**4 - 52*h**3 + 12*h**2 + 98*h**4 - h**5 = 0.
0, 1/3, 1, 3
Let j(f) = f**2 - f + 1. Let l(z) = 7*z**2 - 21*z + 37. Let o(p) = -10*j(p) + 2*l(p). Solve o(q) = 0.
4
Let n(y) be the second derivative of 0 + 2/7*y**2 - 1/42*y**4 - 1/21*y**3 + 2*y. Determine f so that n(f) = 0.
-2, 1
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