3/3 + 4*z**2 - 15*z. Let x(t) = 0. Calculate t.
-1, -1/2, -2/5
Suppose -12/5 + 132/5*k - 363/5*k**2 = 0. What is k?
2/11
Suppose 0 = -3*w + y + 6, 4*y - 12 = -w + 3. Let 5*z + z**w + 0*z**3 + 4*z**2 + 4 - 2 = 0. What is z?
-2, -1
Let f = -1 - -1. Let r(u) = u**2 + u + 3. Let b be r(f). Factor 2/3*l**b + 16/3*l + 10/3*l**2 + 8/3.
2*(l + 1)*(l + 2)**2/3
Let j(p) be the second derivative of 7*p**5/5 + 4*p**4 - 8*p**3/3 - 12*p. Factor j(h).
4*h*(h + 2)*(7*h - 2)
Let s = -3 + 4. Let c(o) = -o**2 - o - 1. Let q(a) be the first derivative of -a**3/3 - 7*a**2/2 - 4*a + 1. Let t(h) = s*q(h) + 2*c(h). Factor t(m).
-3*(m + 1)*(m + 2)
Let c = 1/130 - -383/910. Let t(y) be the first derivative of 2/21*y**3 + 4/7*y - 2 - c*y**2. Factor t(u).
2*(u - 2)*(u - 1)/7
Let v(p) be the first derivative of -1 - p**4 + 2*p + 2*p**2 - 2/3*p**3. Let z(o) = o + 1. Let f(d) = -v(d) + 2*z(d). Find h such that f(h) = 0.
-1, 0, 1/2
Let p(b) be the second derivative of -b**7/630 - b**6/120 - b**5/60 - b**4/72 + 4*b**2 + 7*b. Let z(j) be the first derivative of p(j). Factor z(u).
-u*(u + 1)**3/3
Let k(q) = -q**2 + 9*q - 5. Let g be k(8). Factor -3*p**4 + 2*p**4 - 9*p - g + 7*p**4 + 9*p**3 - 3*p**2.
3*(p - 1)*(p + 1)**2*(2*p + 1)
Suppose -3*q + 2*h + 23 = -0*q, 0 = 5*q - 5*h - 45. Factor -q*r - 3*r + 2*r**2 + 4*r + 2.
2*(r - 1)**2
Let z be (2/(-4))/((-2)/20). Let n be 0 + 1 - (-1 - 2). Factor 6*o**2 + 6*o**3 - 5*o + 2*o + z*o + 2*o**n.
2*o*(o + 1)**3
Let b(w) be the first derivative of 2/15*w**4 + 2/45*w**3 - 2 - 4/15*w**2 - 2/15*w. Let b(n) = 0. What is n?
-1, -1/4, 1
Factor 2/3*g**2 + 2/3*g**3 - 2/3*g - 2/3.
2*(g - 1)*(g + 1)**2/3
Let k = 22 + -109/5. Factor 2/5*a**2 + 0 + k*a + 1/5*a**3.
a*(a + 1)**2/5
Let f(l) = -13*l - 22. Let i be f(-2). Factor -8/5*h**i + 2/5*h**5 - 8/5*h**2 + 2/5*h + 12/5*h**3 + 0.
2*h*(h - 1)**4/5
Let q(y) be the third derivative of y**8/1176 - 2*y**7/245 + y**6/35 - y**5/21 + y**4/28 - 20*y**2. Factor q(g).
2*g*(g - 3)*(g - 1)**3/7
Let i(t) = -t**5 - t**4 - 6*t**3 + 5*t**2 + 5*t - 3. Let h(u) = 2*u**4 + 6*u**3 - 6*u**2 - 6*u + 2. Let r(z) = -6*h(z) - 4*i(z). Solve r(p) = 0 for p.
-1, 0, 2
Let t(x) = x**2 - 7*x + 5. Let z be t(7). Let q = z - 2. Factor -2/5*p + 0*p**2 + 2/5*p**q + 0.
2*p*(p - 1)*(p + 1)/5
Let s(d) be the second derivative of -d**5/40 + d**3/12 - d. What is q in s(q) = 0?
-1, 0, 1
Let w be 3/18*(0/4 - -3). Factor n - n**3 - w*n**4 + 0*n**2 + 1/2.
-(n - 1)*(n + 1)**3/2
Suppose -3*v - 2*s = -16, 2*v + 0*s = -3*s + 19. Suppose 76*y**v + 18 + 36*y + 3*y**3 - 58*y**2 + 6 = 0. What is y?
-2
Let w = 15 - 15. Let z(s) be the third derivative of w - s**2 - 1/150*s**5 + 0*s**3 + 0*s**4 + 0*s + 1/600*s**6. Determine y, given that z(y) = 0.
0, 2
Let l = 14 - 9. Determine c, given that 336*c**4 + 34*c**2 + 233*c**5 - 6 - 204*c**3 - 41*c**l - 283*c**2 - 69*c = 0.
-2, -1/4, 1
Let 4*p**4 + 9*p**3 + 47*p**3 - 9*p**2 - 16*p + 37*p**2 + 8*p**4 = 0. What is p?
-4, -1, 0, 1/3
Let f be (-115)/46*(-1)/30. Let t(m) be the second derivative of -3*m + 1/84*m**7 + 0 - 1/12*m**4 + 1/4*m**2 - 1/20*m**5 + f*m**3 + 1/60*m**6. Factor t(x).
(x - 1)**2*(x + 1)**3/2
Let l = -5 + 20. Factor -1 + l*p - 15*p + p**2.
(p - 1)*(p + 1)
Let r(l) be the third derivative of 3*l**7/140 + l**6/20 - l**5/20 - l**4/4 - l**3/4 - 2*l**2. Determine t, given that r(t) = 0.
-1, -1/3, 1
Factor -25*g**3 + 54*g**3 - 2*g**2 - 28*g**3.
g**2*(g - 2)
Suppose -5*b = -10 - 10. Suppose 1 - 1 - 3*a**b + a**2 + 2*a**4 = 0. What is a?
-1, 0, 1
Let u = 111/226 - -1/113. Suppose 1/4*v - 1/4*v**3 + 1/2 - u*v**2 = 0. Calculate v.
-2, -1, 1
Let i be (-38)/19 - 4/(0 - 2). Factor i - 9/2*q - 25/2*q**3 + 2*q**4 + 21*q**2.
q*(q - 3)**2*(4*q - 1)/2
Factor -4*j**3 - 2*j**2 + 4 + 10*j**2 + 4*j**2 - 12*j + 0*j.
-4*(j - 1)**3
Let p be (-11)/165*2/(-6) + 0. Let v(f) be the third derivative of 0 + 0*f + 1/24*f**4 - 1/18*f**3 - f**2 + p*f**5. Factor v(o).
(o + 1)*(4*o - 1)/3
Suppose 32 = 2*w - 2*f, 3*f = -5*w + 4*f + 64. Factor w*c**3 + 16/3*c - 40/3*c**2 + 0 - 14/3*c**4 + 2/3*c**5.
2*c*(c - 2)**3*(c - 1)/3
Let g(q) be the third derivative of 3/2*q**4 + 8/15*q**6 - 2/3*q**3 + 0 + 0*q - 7*q**2 - 8/5*q**5. What is n in g(n) = 0?
1/4, 1
Let k(p) be the first derivative of -3*p**4/4 + 4*p**3/15 + 9*p**2/10 + 2*p/5 - 17. Factor k(n).
-(n - 1)*(3*n + 1)*(5*n + 2)/5
Suppose 4 = 3*y - 2. Factor -9/4*p**y - 5/4*p + 5/4*p**3 + 7/4*p**4 + 1/2.
(p - 1)*(p + 1)**2*(7*p - 2)/4
Let c(z) be the second derivative of -z**6/40 + 7*z**4/16 - 3*z**3/4 + 12*z - 2. Suppose c(t) = 0. Calculate t.
-3, 0, 1, 2
Let b(v) = v**2 + 10*v - 75. Let s be b(-15). Suppose s*t + 8/7*t**4 - 4/7*t**3 - 4/7*t**5 + 0*t**2 + 0 = 0. What is t?
0, 1
Let j(c) be the third derivative of c**6/200 - c**5/25 + c**4/10 - 15*c**2. What is l in j(l) = 0?
0, 2
Suppose 4*n = j + 2*j - 21, 22 = -3*n + j. Let z be 3 - (2 + 3/n). Factor -z*s - 4/3 - 1/3*s**2.
-(s + 2)**2/3
Let u be ((-7)/(-5))/(4/20). Let w(x) = 2*x**2 - 8*x - 4. Let p(l) = 4*l**2 - 15*l - 7. Let v(h) = u*w(h) - 4*p(h). Factor v(d).
-2*d*(d - 2)
Let y = -2/59 - -63/118. Determine v so that 0 - y*v**4 + 0*v**2 + 0*v + 1/2*v**3 = 0.
0, 1
Let p be (-1401)/(-63) - 27/(-63). Let w(m) be the first derivative of -17/2*m**4 + 16*m + p*m**3 - 28*m**2 + 6/5*m**5 - 1. Factor w(d).
2*(d - 2)**2*(d - 1)*(3*d - 2)
Suppose -2*r - 6 = -4*r. Let t(c) be the second derivative of 3*c + 0 + 0*c**2 + 1/21*c**4 - 2/105*c**6 - 1/21*c**r + 1/147*c**7 + 0*c**5. Factor t(k).
2*k*(k - 1)**3*(k + 1)/7
Solve 0*g**2 + 6/13*g**5 - 2/13*g + 0 + 12/13*g**3 + 16/13*g**4 = 0.
-1, 0, 1/3
Let k(b) = -b**3 + 7*b**2 - 9*b - 5. Let v be k(5). Let o(w) be the third derivative of 1/240*w**5 + 0 - 1/96*w**4 + 0*w + v*w**3 + w**2. Factor o(l).
l*(l - 1)/4
Let o(l) be the third derivative of -l**6/180 + l**5/30 + l**4/36 - l**3/3 - 11*l**2. Let o(r) = 0. Calculate r.
-1, 1, 3
Let z = -693 + 693. What is x in 0*x - 2/3*x**4 + 0*x**3 - 2/3*x**5 + 0*x**2 + z = 0?
-1, 0
Let q be 2 - (92/16 - 4). Let l(v) be the first derivative of -1/10*v**5 - 2 + 1/3*v**3 + 1/12*v**6 - q*v**4 + 1/4*v**2 - 1/2*v. Factor l(u).
(u - 1)**3*(u + 1)**2/2
Let o(q) be the third derivative of -q**5/140 - q**4/14 + 36*q**2. Factor o(x).
-3*x*(x + 4)/7
Let g(d) be the third derivative of d**5/90 - 7*d**4/36 + 2*d**3/3 + d**2 + 5*d. Factor g(h).
2*(h - 6)*(h - 1)/3
Let t be (4 - (3 + 6)) + 6. Let o(q) be the first derivative of 4/11*q - 6/11*q**3 + t - 7/11*q**2. Factor o(j).
-2*(j + 1)*(9*j - 2)/11
Let h(q) = 5*q**2 + 3*q**3 - 230*q + 230*q. Let i(o) = 2*o**3 + 3*o**2 - 12*o**2 - 7*o**3. Let a(k) = 7*h(k) + 4*i(k). Suppose a(j) = 0. What is j?
0, 1
Suppose x - 3*j = 2*x - 17, -4*j = -4*x + 4. Suppose 2*a = -x*d + 18, -5*d + 4*d = 4*a - 18. Determine q so that 0 + 2/5*q**d + 4/5*q = 0.
-2, 0
Let m(s) be the first derivative of s**4/6 - s**2 - 4*s/3 - 11. Factor m(l).
2*(l - 2)*(l + 1)**2/3
Let l(f) = -f**3 - 2*f**2 + 6*f - 2. Let s(b) = -2*b**3 - b**2 + 7*b - 3. Let z(c) = 3*l(c) - 2*s(c). Solve z(v) = 0.
0, 2
Let o be (44/18 + 1)*-67. Let d = o + 231. Factor d*q**3 - 8/9 + 16/9*q - 10/9*q**2.
2*(q - 2)**2*(q - 1)/9
Let n(r) be the second derivative of -r**5/150 - r**4/30 - r**3/15 - r**2 + 3*r. Let j(u) be the first derivative of n(u). Find i such that j(i) = 0.
-1
Let w(q) be the first derivative of 0*q - 1 + 0*q**2 + 6/5*q**5 + 2/3*q**3 - 3/2*q**4 - 1/3*q**6. Determine f, given that w(f) = 0.
0, 1
Let j be 21/2*((-40)/(-90))/4. Determine f, given that -j*f**3 + 2/3*f**4 + 2/3*f + 0 - 2/3*f**2 + 1/2*f**5 = 0.
-2, -1, 0, 2/3, 1
Let y(n) be the second derivative of -n**5/80 - n**4/12 - n**3/8 + 8*n. Let y(x) = 0. What is x?
-3, -1, 0
Let b be 5/(20/8) + 34/(-20). Let j(v) be the first derivative of 0*v + 2 - b*v**2 + 2/5*v**3 - 3/20*v**4. Factor j(t).
-3*t*(t - 1)**2/5
Solve 9*k - 250*k**4 + 215*k + 480*k**2 + 28*k**3 + 32 + 172*k**3 = 0 for k.
-2/5, 2
Let p(y) be the third derivative of y**5/60 - y**4/8 + 28*y**2. Factor p(g).
g*(g - 3)
Factor -o + 2*o**3 + 147*o**2 - 3*o - 145*o**2.
2*o*(o - 1)*(o + 2)
Factor 196/3*t**4 + 4/3*t**2 + 0 + 0*t + 56/3*t**3.
4*t**2*(7*t + 1)**2/3
Let j(l) be the third derivative of l**6/1080 - l**5/360 + 5*l**3/6 - 4*l**2. Let a(x) be the first derivative of j(x). Let a(o) = 0. Calculate o.
0, 1
Suppose 0*i = -2*x - 4*i + 10, 5*x = -4*i + 19. Let 