or -2*h - 6/7*h**3 + t + 16/7*h**2.
-2*(h - 1)**2*(3*h - 2)/7
Let w(u) = 9*u**4 - 60*u**3 + 39*u - 30. Let n(k) = k**4 - 6*k**3 + 4*k - 3. Let x(d) = 21*n(d) - 2*w(d). Suppose x(a) = 0. Calculate a.
-1, 1
Let t(k) be the second derivative of k**6/165 - 3*k**5/110 + k**4/33 - 8*k - 2. Determine g, given that t(g) = 0.
0, 1, 2
Let d(q) be the second derivative of 0 + 4*q + 2/21*q**3 + 0*q**2 + 1/42*q**4. Determine a so that d(a) = 0.
-2, 0
Solve -1/3*g**2 + 8/3*g + 3 = 0.
-1, 9
Let z(c) be the first derivative of -2*c**5/35 + c**4/14 + 2*c**3/7 - c**2/7 - 4*c/7 - 8. Determine j, given that z(j) = 0.
-1, 1, 2
Let a(i) = 2*i**3 + 2*i**2 + i + 1. Let d(z) = z**3 + 1. Let k(y) = a(y) - d(y). What is h in k(h) = 0?
-1, 0
Let n = -24 - -28. Let q be (n/8)/((-6)/(-4)). Factor f + 1/3*f**3 - q - f**2.
(f - 1)**3/3
Determine q, given that -16*q + 4*q**2 + 3 - 9 + 38 - 2*q**2 = 0.
4
Let a(p) be the first derivative of -p**3 - 15*p**2/2 - 12*p + 2. Suppose a(t) = 0. What is t?
-4, -1
Suppose -10*k - 20 = -14*k. Determine i so that -1/3*i**4 + 1/6*i**3 + 1/6*i**k + 0 + 0*i**2 + 0*i = 0.
0, 1
Let h(f) = 4*f**2 + f. Suppose 0 = o + o - 2. Let u be h(o). Factor -3*t**2 + t**4 + 3*t**3 + u*t - 2*t**4 - 4*t.
-t*(t - 1)**3
Let t(i) be the second derivative of i**8/47040 + i**7/17640 - i**6/5040 - i**5/840 + i**4/2 - 6*i. Let l(s) be the third derivative of t(s). Solve l(d) = 0.
-1, 1
Let s(a) be the first derivative of -4*a**3/3 + 6*a**2 - 8*a + 3. Factor s(g).
-4*(g - 2)*(g - 1)
Let t(i) be the second derivative of i**7/7560 - i**6/1080 + i**5/360 + i**4/2 + 5*i. Let r(c) be the third derivative of t(c). Solve r(q) = 0 for q.
1
Let y(p) = p**3 - 2*p**2 - 2*p. Let u(a) = a**2 + a. Let f = -10 - -8. Let x(l) = f*u(l) - y(l). Suppose x(b) = 0. What is b?
0
Let r(o) be the third derivative of -1/18*o**5 + 0*o + 0 + 4/9*o**3 - 1/18*o**4 + 1/1008*o**8 + 2/315*o**7 + 1/360*o**6 - 8*o**2. Solve r(n) = 0.
-2, 1
Let b(j) = -j**2 + 11*j + 3. Let m be b(11). Factor -2*u**2 + 4*u**3 + 3*u**3 - m*u**3 - 2*u**4.
-2*u**2*(u - 1)**2
Let p(j) be the second derivative of 8*j**7/33 - 166*j**6/165 + j**5/10 + 79*j**4/33 + 68*j**3/33 + 8*j**2/11 - j. Determine o, given that p(o) = 0.
-1/2, -2/7, -1/4, 2
Let d(a) = a**2. Let c be d(2). Suppose -c*p - 4 = -4*z - 0*p, -2*z - 2*p + 10 = 0. Factor 5*x**2 + z*x**3 - 6*x**2 - 5*x**2 + 3*x.
3*x*(x - 1)**2
Factor -1/6*p**4 - 1/2*p**2 + 0*p + 0 + 2/3*p**3.
-p**2*(p - 3)*(p - 1)/6
Suppose -6*r + 9*r - 12 = 0. Factor -6*q**2 + q**3 + 4*q + 2*q**2 - 5*q**3 + r*q**4.
4*q*(q - 1)**2*(q + 1)
Suppose -5*x - 2*d = -3*d - 15, 5*d = -4*x + 41. Suppose -2*s + w - 10 = -4*w, x*s + 8 = 4*w. Let -1/2*q - 1/2*q**2 + s = 0. What is q?
-1, 0
Let x = -22 + 26. Determine u so that -1/6*u**x + 1/6*u**3 + 0 + 0*u + 1/6*u**2 - 1/6*u**5 = 0.
-1, 0, 1
Let t(u) = u**3 + 5*u**2 + 3*u - 4. Let c be t(-4). Let p(v) be the second derivative of v**2 - 1/5*v**6 - v**4 - v + 4/5*v**5 + 0*v**3 + c. Factor p(h).
-2*(h - 1)**3*(3*h + 1)
Let k = 119903 - 2157653/18. Let y = k + -65/2. Determine i so that 0 + 0*i - y*i**3 + 2/9*i**4 + 8/9*i**2 = 0.
0, 2
Let 9/2*w**4 + 0 + 0*w + 27/2*w**3 + 27/2*w**2 + 1/2*w**5 = 0. What is w?
-3, 0
Suppose -3*o - 13 = -5*h, 0 = -h + 5*o + 7. Let w be 2/5 - (-5)/50. Determine g so that g + w + 1/2*g**h = 0.
-1
Find r, given that -19*r**2 + 15*r + 5*r**3 + 0*r**3 - r**2 = 0.
0, 1, 3
Let k = 3 - 5. Let z be k/(-10)*(-30)/(-12). Suppose 1/4*s**2 - z*s + 1/4 = 0. Calculate s.
1
Let w(t) be the third derivative of t**6/180 + t**3/3 - 3*t**2. Let l(q) be the first derivative of w(q). Factor l(c).
2*c**2
Determine i so that -16*i**2 - 6*i**3 - 2*i**5 + 14*i - 8*i**3 - 4 + 4*i**4 + 18*i**3 = 0.
-2, 1
Factor 38*l - 104*l - 241 - 102*l + 274 - 12*l**3 + 147*l**2.
-3*(l - 11)*(l - 1)*(4*l - 1)
Let s(t) be the third derivative of 0 - 1/150*t**5 + 0*t - 1/20*t**4 - 2/15*t**3 + 3*t**2. Find p such that s(p) = 0.
-2, -1
Suppose 12 + 31*r + 2*r**2 - 2*r**2 - 19*r + 3*r**2 = 0. Calculate r.
-2
Let q(w) be the third derivative of -w**9/20160 + w**7/1680 + 7*w**5/60 + 2*w**2. Let u(j) be the third derivative of q(j). Factor u(m).
-3*m*(m - 1)*(m + 1)
Determine r, given that 1/5*r**3 + 0 + 2/5*r**2 - 3/5*r = 0.
-3, 0, 1
Let p = 5 + 8. Let m = 15 - p. Find n, given that 2/7*n**m + 4/7*n + 2/7 = 0.
-1
Let r = -141 - -145. Find b, given that -2*b**r + 4/7*b**3 + 2*b**2 + 0 - 4/7*b = 0.
-1, 0, 2/7, 1
Let o(m) = 11*m**2 - 3*m - 8. Let j be (-6 + 3 + 4)*3. Let i(t) = -4*t**2 + t + 3. Let g(w) = j*o(w) + 8*i(w). Suppose g(u) = 0. What is u?
0, 1
Let c be (4*63/112)/(6 + -3). Factor 3/4*p**2 - c + 0*p.
3*(p - 1)*(p + 1)/4
Let p = 9 + -5. Find v such that -v**2 + v**4 + 2*v**3 - 3*v**p + v**4 + 0*v**2 = 0.
0, 1
Let x be ((-4)/(-140))/(4/10). Let p(o) be the second derivative of -x*o**5 + 0 + 1/14*o**4 - o - 1/7*o**2 + 1/21*o**3 + 2/105*o**6. Solve p(t) = 0 for t.
-1/2, 1
Let l(y) = y**2 + y - 1. Let d(b) = -b**2 - b + 1. Let f(q) = 9*q**2 + 11*q - 8. Let j(t) = -6*d(t) - f(t). Let r(w) = j(w) + 4*l(w). Let r(p) = 0. Calculate p.
-1, 2
Suppose 0 = -3*t + 28 - 187. Let n = t + 109/2. Suppose -u**3 + n*u**2 - 2 - 1/2*u**4 + 2*u = 0. What is u?
-2, 1
Let l(f) = f + 7. Let w be l(-5). Let s be (w/4)/((-15)/(-6)). Factor -s*o + 1/5*o**2 + 0.
o*(o - 1)/5
Let s be 2*3/(-12)*-1. Let j = 153 + -153. Factor -m - s*m**2 + j.
-m*(m + 2)/2
Let a(d) be the third derivative of -1/150*d**5 + 4*d**2 + 1/60*d**4 + 0*d + 0*d**3 + 0. Solve a(n) = 0.
0, 1
Let p = -25154/7 - -3600. Solve -10/7*v**4 + 8/7*v + 16/7 - 60/7*v**2 + p*v**3 = 0 for v.
-2/5, 1, 2
Let k(i) be the third derivative of i**5/140 + 3*i**4/56 + i**3/7 - 4*i**2. Factor k(z).
3*(z + 1)*(z + 2)/7
Suppose 7*q + 3*x - 39 = 4*q, -3*q = -4*x - 46. Let b be 8/24 + q/3. Factor b*a - 2 + 8*a**2 + a**3 + 4*a**3 - 4*a.
(a + 1)**2*(5*a - 2)
Let n(b) = b**3 - 9*b**2 + 9*b - 7. Let s(a) = 2*a**2 + 4*a + 2. Let p be s(-3). Let c be n(p). Factor 5/2*o - c - 3/2*o**2.
-(o - 1)*(3*o - 2)/2
Let n = -12 - -12. Let u(h) be the third derivative of -1/6*h**4 + 0 - 1/30*h**6 - 1/6*h**3 - 2*h**2 + n*h - 1/210*h**7 - 1/10*h**5. Factor u(p).
-(p + 1)**4
Let f(v) = v**3 + 6*v**2 - 8*v - 4. Suppose 28 = -4*l - 0*l. Let p be f(l). Factor -p*q**5 + 3*q**3 - 2*q**4 + 2*q**4.
-3*q**3*(q - 1)*(q + 1)
Let h(d) be the first derivative of -3*d**6/4 + 7*d**5/10 + 11*d**4/8 - 7*d**3/6 - d**2/2 + 7. Determine y, given that h(y) = 0.
-1, -2/9, 0, 1
Suppose -7*z + 2 = 2. Let h(u) be the first derivative of -1/14*u**4 - 1/7*u**2 + 1 + 4/21*u**3 + z*u. Suppose h(a) = 0. What is a?
0, 1
Factor 1/2*w**2 + 1/4*w - 1/2 - 1/4*w**3.
-(w - 2)*(w - 1)*(w + 1)/4
Let o be (7/14)/(2/20). Let k = 9 - o. Factor 0*c + 1/5*c**2 + 0 + 2/5*c**3 + 1/5*c**k.
c**2*(c + 1)**2/5
Let l(t) be the first derivative of -t**6/6 - t**5/5 + 3*t**4/4 + 5*t**3/3 + t**2 - 3. Suppose l(w) = 0. Calculate w.
-1, 0, 2
Let y(k) be the first derivative of 4*k**5/5 + 3*k**4 + 8*k**3/3 + 6. Find f, given that y(f) = 0.
-2, -1, 0
Solve 72/7*u + 33/7*u**2 + 3/7*u**3 - 108/7 = 0 for u.
-6, 1
Let s be (-4)/(-5)*(0 - -5). Let p be (-1)/s + 17/4. Factor v + v**2 + v**2 + p + 5*v.
2*(v + 1)*(v + 2)
Let q(m) be the second derivative of 0*m**3 + 0*m**2 + 0 - 7/20*m**5 - 1/14*m**7 - 1/6*m**4 - 4*m - 4/15*m**6. Factor q(i).
-i**2*(i + 1)**2*(3*i + 2)
Let t(s) = s**2 - 4*s - 3. Let w(k) be the second derivative of 0 - 1/6*k**4 - 2*k + 5/2*k**2 + 7/6*k**3. Let d(a) = -10*t(a) - 6*w(a). Factor d(l).
2*l*(l - 1)
Let v(w) = -w**2 + 19*w - 76. Let j be v(6). Suppose 0 + 6/11*z**j + 4/11*z + 2/11*z**3 = 0. Calculate z.
-2, -1, 0
Let w(c) be the second derivative of -c**6/160 - c**5/48 - c**4/48 + c**2 + 2*c. Let h(d) be the first derivative of w(d). Factor h(m).
-m*(m + 1)*(3*m + 2)/4
Determine d, given that -8/3*d**2 + 0 + 8/3*d**4 - 4*d**3 + 0*d = 0.
-1/2, 0, 2
Let n be 4/(-6)*(1 + 2). Let c(t) = -t - 1. Let a be c(n). Factor 1/2*h - 1/2*h**2 + a.
-(h - 2)*(h + 1)/2
Factor 1/3*h**4 + 0 - 1/3*h**5 + 0*h**2 + 0*h**3 + 0*h.
-h**4*(h - 1)/3
Suppose 5*n - 4 = n. Let r(o) = o**2 + o. Let l(w) = 2*w**3 - 10*w**2 - 4*w + 8. Let i(v) = n*l(v) + 4*r(v). Factor i(x).
2*(x - 2)**2*(x + 1)
Let g(y) be the third derivative of 1/40*y**6 - 1/105*y**7 + 1/48*y**4 + 0 + 0*y - y**2 + 0*y**3 - 1/30*y**5 + 1/672*y**8. Factor g(i).
i*(i - 1)**4/2