x - 1)/5
Let h(y) be the first derivative of 0*y**2 + 0*y**3 + 1/4*y**4 + 1 - 3*y + 3/20*y**5. Let q(l) be the first derivative of h(l). Solve q(b) = 0.
-1, 0
Let u(x) be the first derivative of -3*x**4/4 - x**3 + 21*x**2 + 72*x - 139. Determine d, given that u(d) = 0.
-3, -2, 4
Let n(h) be the second derivative of -h**6/600 + h**5/150 + 7*h**4/120 + 2*h**3/15 - 7*h**2/2 - 12*h. Let r(x) be the first derivative of n(x). Factor r(l).
-(l - 4)*(l + 1)**2/5
Suppose -4*x + 2*x = -10. Suppose -5*n = x*m - 0*m - 5, 0 = 4*n - 2*m + 2. Factor n + 12/5*a + 16/5*a**2 + 4/5*a**3.
4*a*(a + 1)*(a + 3)/5
Factor -a - 179*a**2 - 166*a**2 + 344*a**2 + 6.
-(a - 2)*(a + 3)
Let k(x) = -x**3 + x**2. Let g be k(0). Let u(y) = -y + 5. Let j be u(g). Solve 2*w**5 - 4*w**3 + w - 13*w + 9*w + j*w = 0 for w.
-1, 0, 1
Factor 0 + 21/8*n - 9/4*n**2 - 3/8*n**3.
-3*n*(n - 1)*(n + 7)/8
Determine v so that 10/3*v**4 + 8/9 + 4/9*v**3 + 16/3*v - 10*v**2 = 0.
-2, -2/15, 1
Let d(z) = 6*z**3 - 72*z**2 + 300*z - 381. Let v(y) = -y**3 + 14*y**2 - 60*y + 76. Let f(t) = -4*d(t) - 21*v(t). Factor f(r).
-3*(r - 2)**2*(r + 6)
Suppose -2*l = -4*c - 28, -2*c + 44 = 2*l + 2*c. Let r be 2 + 78/(-45) + 6/l. Solve 9/5 - 12/5*z + r*z**2 = 0 for z.
1, 3
Let j(b) be the third derivative of -b**7/5040 + b**6/720 - b**5/240 - 7*b**4/24 - 11*b**2. Let k(a) be the second derivative of j(a). Factor k(r).
-(r - 1)**2/2
Let h(s) be the first derivative of s**5/180 + s**4/12 + 5*s**3/18 + 21*s**2/2 + 20. Let k(m) be the second derivative of h(m). Find p, given that k(p) = 0.
-5, -1
Suppose 0 = 18*l - 14*l - 8. Let x(w) be the first derivative of -1/9*w**3 - 4/3*w + l - 2/3*w**2. Solve x(g) = 0.
-2
Let r(x) be the third derivative of x**5/20 - 45*x**4/4 + x**2 - 337. Let r(g) = 0. What is g?
0, 90
Let h be ((-8)/10)/(-8 - (-468)/60). Factor -2*a**3 - 3/2*a**2 + 7/2*a**h + 0 + 0*a.
a**2*(a - 1)*(7*a + 3)/2
Let d(i) be the second derivative of -2*i**6/15 + 41*i**5/5 + i**4 - 242*i**3/3 - 164*i**2 - 63*i - 1. What is g in d(g) = 0?
-1, 2, 41
Let q be 428/170 + 24/612*-3. Find a, given that 0*a + 2/5*a**4 + 2*a**2 + 0 - q*a**3 = 0.
0, 1, 5
Let c = -604 + 606. Let w(i) be the second derivative of 0 + 1/3*i**4 + 4/3*i**3 + 2*i**c + 3*i. Determine g so that w(g) = 0.
-1
Let u(n) be the third derivative of n**7/420 + 3*n**6/80 + 7*n**5/40 + 19*n**4/48 + n**3/2 - 74*n**2. Determine d, given that u(d) = 0.
-6, -1
Let o = 0 - -3. Suppose -4*w - 10 = -6*w. Let l(i) = 6*i**2 + 9*i + 9. Let v(d) = -11*d**2 - 19*d - 19. Let u(z) = o*v(z) + w*l(z). Suppose u(g) = 0. What is g?
-2
Suppose 17*q - 32*q = -60. Let y(v) be the third derivative of 0*v + 1/60*v**5 - 1/8*v**q + 1/3*v**3 + 0 - 10*v**2. Find n such that y(n) = 0.
1, 2
Let k(g) be the third derivative of -g**5/15 - 4*g**4 - 96*g**3 - 2*g**2 + 9*g. What is t in k(t) = 0?
-12
Let b(k) be the first derivative of 0*k + 0*k**2 - 1/9*k**6 + 2/9*k**3 + 5 - 2/15*k**5 + 1/6*k**4. Factor b(p).
-2*p**2*(p - 1)*(p + 1)**2/3
Suppose 77 + 11 = -8*u. Let f be ((-2)/(-11))/((-1)/u). Suppose 14/11*y**3 + 10/11*y + 4/11*y**4 + 2/11 + 18/11*y**f = 0. What is y?
-1, -1/2
Let d = -8 + 3. Let a(u) = u**3 + 4*u**2 - 6*u - 1. Let y be a(d). Factor 27*b**3 - 9*b**3 + 12*b**4 - y*b + 7*b + 3*b**5 + 12*b**2.
3*b*(b + 1)**4
Let g(t) be the third derivative of -t**7/385 - t**6/330 + t**5/66 - 2*t**2 + 13*t. Factor g(f).
-2*f**2*(f - 1)*(3*f + 5)/11
Suppose -330*l = -329*l. Solve 0*z + l - 5/4*z**2 - 5/2*z**3 - 5/4*z**4 = 0.
-1, 0
Let b(l) be the third derivative of 1/20*l**6 + 0*l**4 + 0 - 6*l**2 - 3*l + 0*l**3 - 1/15*l**5 - 1/105*l**7. Suppose b(t) = 0. What is t?
0, 1, 2
Let r(q) be the first derivative of -q**3/3 + q**2/2 + 9. Let j(n) = 5*n**2 - 10*n - 4. Let h(b) = j(b) + 6*r(b). Factor h(m).
-(m + 2)**2
Let p(o) be the second derivative of o**7/15120 + o**6/2160 - 25*o**4/12 + 7*o. Let r(c) be the third derivative of p(c). Suppose r(g) = 0. What is g?
-2, 0
Factor 8/5*b**2 - 17/5*b + 2 - 1/5*b**3.
-(b - 5)*(b - 2)*(b - 1)/5
Let 337/2*s**3 - 49/4*s + 1/4 - 625/4*s**5 - 575/4*s**4 + 287/2*s**2 = 0. Calculate s.
-1, 1/25, 1
Let t(g) be the first derivative of 28 - 15*g**3 - 5/4*g**4 + 20*g + 5/2*g**2 + 5*g**5. Factor t(z).
5*(z - 1)**2*(z + 1)*(5*z + 4)
Let p(q) be the second derivative of -1/8*q**3 + 5/32*q**4 + 0 - 9/16*q**2 - 16*q. Find d, given that p(d) = 0.
-3/5, 1
Let i(d) be the first derivative of 2 + 0*d - d**5 + 0*d**2 + 0*d**4 + 5/3*d**3. Factor i(f).
-5*f**2*(f - 1)*(f + 1)
Let n(y) be the first derivative of -9*y**4/20 - 4*y**3/5 - 3*y**2/10 - 107. What is m in n(m) = 0?
-1, -1/3, 0
Factor -56 - 335*h**2 - 24*h + 31*h + 53*h + 331*h**2.
-4*(h - 14)*(h - 1)
Let 0 - 2/15*n**3 + 4/15*n**2 + 2/5*n = 0. What is n?
-1, 0, 3
Let l(o) be the third derivative of o**6/40 + o**5/5 + o**4/8 - 3*o**3 + 7*o**2 + 35. Factor l(v).
3*(v - 1)*(v + 2)*(v + 3)
Let b be (3/(-18))/((-291)/194). Find a such that -b*a**2 + 4/9*a - 4/9 = 0.
2
Solve 98260/3*y**2 + 835210/3*y + 2839714/3 + 170/3*y**4 + 2/3*y**5 + 5780/3*y**3 = 0.
-17
Let a(w) = 8*w**2 - 8. Let z(x) = -7*x**2 + 7. Let m(t) = -6*a(t) - 7*z(t). Let k(r) = -10*r**2 + 25*r - 15. Let s(i) = k(i) + 5*m(i). Factor s(u).
-5*(u - 4)*(u - 1)
Factor 9/2 + 1/2*h**2 + 3*h.
(h + 3)**2/2
Let l(x) be the second derivative of 125/4*x**2 + 75/8*x**3 - 55/6*x**4 + 0 - 57/8*x**5 - 17/12*x**6 - x - 5/56*x**7. Suppose l(o) = 0. What is o?
-5, -1, 2/3
Let n be (3 + -2 + -1)/(-2). Solve -1 + 3*k + 5*k - 5 - 2*k**2 + n*k = 0.
1, 3
Let p(l) be the second derivative of l**5/240 - 5*l**4/24 + 19*l**3/24 - 7*l**2/6 + 2*l - 73. Factor p(m).
(m - 28)*(m - 1)**2/12
Let 4/3*k**2 + 13/3*k - 14/3 - k**3 = 0. What is k?
-2, 1, 7/3
Let j = -130 + 101. Let l = j - -148/5. Let 9/5*t - l*t**2 - 6/5 = 0. Calculate t.
1, 2
Suppose 8*x - 11*x = -15. Let 3*o - 5*o - 3*o + 20 - 20*o**2 + x*o**3 = 0. What is o?
-1, 1, 4
Let g(b) = 24*b**3 + 12*b**2 - 56*b - 44. Let s(p) = -p**4 + 23*p**3 + 12*p**2 - 55*p - 43. Let d(a) = -3*g(a) + 4*s(a). Determine i so that d(i) = 0.
-1, 2, 5
Suppose d + 2 = 0, p - 5*d + 2 = 19. Solve 3*h**2 + 7*h - p*h - 3*h = 0 for h.
0, 1
Let r(n) be the third derivative of n**7/280 - n**5/40 - 2*n**3 + 6*n**2. Let o(g) be the first derivative of r(g). Determine c so that o(c) = 0.
-1, 0, 1
Let d be (-2 - -4 - 17) + 2. Let o(y) = -y**2 - 11*y + 26. Let p be o(d). Factor p*t**2 - t**2 - 6*t**3 + 5*t**3 + t + 1.
-(t - 1)*(t + 1)**2
Let u(h) be the second derivative of 0 - 8/9*h**4 + 0*h**2 - 2/45*h**6 + 1/3*h**5 - 12*h + 8/9*h**3. Determine a, given that u(a) = 0.
0, 1, 2
Let i(v) = -76 - 20*v**3 - 22 + 80*v**2 + 32*v + 30. Let x(f) = 8*f**3 - 32*f**2 - 13*f + 27. Let l(r) = -5*i(r) - 12*x(r). Factor l(m).
4*(m - 4)*(m - 1)*(m + 1)
Let h(m) = 5*m + 2. Let d(i) = -9*i - 3. Let v(s) = 4*d(s) + 7*h(s). Let t be v(-3). Factor 4*g**3 - 2*g + g**2 - t*g**4 + 6*g**4 - 4*g**4.
-g*(g - 1)**2*(3*g + 2)
Let s(z) be the third derivative of -1/5*z**3 + 0*z + 0 - 9*z**2 - 1/30*z**4 + 1/150*z**5. Suppose s(i) = 0. Calculate i.
-1, 3
Let l be (19527/9)/(-17*(-4)/(-12)). Let c = l - -383. Factor c*n**2 + 6/17*n + 0.
2*n*(n + 3)/17
Let q be 0 + 2/((-3)/(-3)). Find l, given that -11*l + 4*l - 2*l**q + 5*l = 0.
-1, 0
Suppose -2*h + 0*h = 6. Let u be (1 - (-39)/(-42))*(-12)/h. Factor -60/7*w**3 - u*w**5 + 92/7*w**2 + 18/7 - 66/7*w + 18/7*w**4.
-2*(w - 3)**2*(w - 1)**3/7
Factor -34/5*i**2 + 104/5*i + 2/5*i**3 + 0.
2*i*(i - 13)*(i - 4)/5
Let o = 493/51450 - 1/343. Let x(r) be the second derivative of -10*r - o*r**5 - 2/45*r**3 + 0 + 0*r**2 - 1/30*r**4. Let x(n) = 0. What is n?
-2, -1, 0
Let h(o) be the first derivative of -4/7*o - 2/21*o**3 - 3/7*o**2 - 3. Factor h(i).
-2*(i + 1)*(i + 2)/7
Let v(y) be the second derivative of 2*y**6/15 + 3*y**5/5 - 16*y**4/3 + 8*y**3 - 2*y - 15. Find g such that v(g) = 0.
-6, 0, 1, 2
Let u(x) be the first derivative of -x**5/90 - x**4/54 + 2*x**3/27 - 2*x - 5. Let o(p) be the first derivative of u(p). Factor o(w).
-2*w*(w - 1)*(w + 2)/9
Factor -8 - 33*z - 35*z - z**2 + 74*z + 3*z**2.
2*(z - 1)*(z + 4)
Let s(p) be the first derivative of -2*p**5/35 - p**4/14 + 8*p**3/21 + 4*p**2/7 - 74. Determine a so that s(a) = 0.
-2, -1, 0, 2
Let -8/5*p**2 + 0 - 1/5*p**3 - 12/5*p = 0. Calculate p.
-6, -2, 0
Let q(s) be the second derivative of -s**5/20 + 13*s**4/1