u(z) be the first derivative of 8/7*z - 1/14*z**4 + 0*z**2 + v - 2/7*z**3. What is x in u(x) = 0?
-2, 1
Let o(t) = 2*t**2 - 1. Suppose 2*b + 8 - 14 = 0. Let g(f) = 3*f**2 - 3*f + 1. Let v(p) = b*o(p) - 3*g(p). Find r such that v(r) = 0.
1, 2
Let l(h) = h**2 - h - 2. Let f be l(-2). Suppose -2*p - 12 = -4*a, 2 = f*a - 4*p - 6. Factor 2*n**4 + 7*n + a*n**3 - 15*n + 3*n**2 - 9*n**2 + 8.
2*(n - 1)**2*(n + 2)**2
Let g(s) be the first derivative of 14/5*s**5 - 92/3*s**3 - 50*s - 1/3*s**6 + 45 + s**4 - 65*s**2. What is w in g(w) = 0?
-1, 5
Factor 3/2*b + 3/8*b**2 + 0.
3*b*(b + 4)/8
Let q(l) be the second derivative of l**5/30 - 11*l**4/6 - 49*l + 2. Factor q(y).
2*y**2*(y - 33)/3
Let p(k) = 6*k**2 - k**2 + 6*k**2 - k**2 + k**3 + 4. Let m be p(-10). Factor 6 + 23*y**3 + 2*y**4 - 25*y**2 + y - 3*y**m - 4*y**4.
-(y - 3)*(y - 1)**2*(5*y + 2)
Let u(b) be the first derivative of -5*b**3/3 + 55*b**2/2 - 140*b + 13. Let u(f) = 0. Calculate f.
4, 7
Let z = -99/19 - -373/57. Solve -2/3*m**2 + 2 - z*m = 0 for m.
-3, 1
Let h(q) be the second derivative of q**8/112 + q**7/42 + q**6/60 + 8*q**2 + 6*q. Let c(i) be the first derivative of h(i). Find a such that c(a) = 0.
-1, -2/3, 0
Let 2/19*p**5 - 6/19*p**3 + 28/19*p**2 - 16/19*p - 8/19*p**4 + 0 = 0. What is p?
-2, 0, 1, 4
Suppose -3*q - 4*i = -q, 5*q = -i. Suppose q = -6*m - 19 + 19. Factor m*y + 4/13*y**3 + 2/13*y**4 - 6/13*y**2 + 0.
2*y**2*(y - 1)*(y + 3)/13
Let k(q) = 0*q**2 - 12*q**2 + 2*q**2 - 70 + 26*q. Let a(g) = -1 - 2*g**2 - 294*g + 293*g + g**2. Let c(m) = -6*a(m) + k(m). Factor c(i).
-4*(i - 4)**2
Let v(i) be the second derivative of i**5/4 - 55*i**4/12 + 25*i**3/3 - i + 2. Suppose v(y) = 0. Calculate y.
0, 1, 10
Let p(t) be the third derivative of 0 + 15*t**2 - 5/6*t**3 - 5/9*t**4 + 0*t - 5/36*t**5. Factor p(k).
-5*(k + 1)*(5*k + 3)/3
Let i be 3 - 4/40 - (-3)/30. Factor -1/4*l**i + 1/4*l - 1/4*l**4 + 0 + 1/4*l**2.
-l*(l - 1)*(l + 1)**2/4
Solve 5347 + 1213*t - 223*t + 3*t**2 + 55775 + 18938 + 1615 = 0 for t.
-165
Suppose o = 861 - 856. Let d(l) be the second derivative of -1/135*l**6 + 2/27*l**3 - 1/189*l**7 + 0 + 5/54*l**4 - l + 1/30*l**o + 0*l**2. Factor d(v).
-2*v*(v - 2)*(v + 1)**3/9
Let m(c) = -3*c**2 - c + 1. Let u(q) = -q**3 + 22*q**2 + 42*q + 20. Let t(i) = m(i) + u(i). Factor t(y).
-(y - 21)*(y + 1)**2
Let m(j) = -3*j**3 - 10*j**2 - 2*j - 2. Let c be m(-4). Suppose 95*z**3 + 0*z**5 - 35*z**4 + 42*z - 125*z**2 + 5*z**5 - 20 + c*z + 0*z**5 = 0. What is z?
1, 2
Find g, given that 0*g - 2/5*g**5 + 0 - 38/5*g**3 - 22/5*g**4 - 18/5*g**2 = 0.
-9, -1, 0
Let d(h) be the third derivative of -3*h**7/70 - h**6/10 + 9*h**5/20 + 5*h**4/4 - 576*h**2. Factor d(t).
-3*t*(t + 1)*(t + 2)*(3*t - 5)
Let x(r) be the second derivative of -r**6/105 - r**5/7 - r**4/6 + 6*r**3/7 - 551*r. Factor x(g).
-2*g*(g - 1)*(g + 2)*(g + 9)/7
Let a(i) = -4*i**2 - 24*i - 4. Let h(u) = u - 1. Let g(l) = 3*l**2 + 22*l - 3. Let n(f) = -g(f) + 6*h(f). Let s(j) = 5*a(j) - 8*n(j). Find b such that s(b) = 0.
-1
Let g = -37 - -40. Factor -104*i - 36*i**g + 4*i**4 + 104*i + 32*i**2.
4*i**2*(i - 8)*(i - 1)
Let w(k) = -13*k - 22. Let g be w(-2). Find p, given that -1/2*p**3 - 5*p**2 + 4 + 2*p**g - 1/2*p**5 + 2*p = 0.
-1, 2
Factor 10*m**2 + 2*m**3 - 56 - 56*m**2 + 10*m**2 - 80*m + 14*m**2.
2*(m - 14)*(m + 1)*(m + 2)
Let q(z) be the second derivative of 0*z**3 + 3*z + 0 - 3/4*z**2 + 1/8*z**4. Solve q(h) = 0 for h.
-1, 1
Let p = 256/29 + -14369/87. Let k = 157 + p. Factor -2/3*w**2 + k*w**3 - 2/3*w + 0 + 2/3*w**4.
2*w*(w - 1)*(w + 1)**2/3
Determine o, given that -4*o**2 - 1 + 27*o + 7*o**2 + o**3 - 25*o + 1 = 0.
-2, -1, 0
Suppose 0 = 15*h - 27 - 48. Suppose -4*k + 3 = -h. Suppose -2/7*y + 0*y**k + 2/7*y**3 + 0 = 0. What is y?
-1, 0, 1
Suppose 0*v - 2*v = 2, v - 127 = t. Let o = t - -388/3. Factor o*x**2 + x + 0 + 1/3*x**3.
x*(x + 1)*(x + 3)/3
Let v be 1/(-8) - (-343)/56 - 3. Determine z, given that 54/7*z**5 - 128/7*z**2 - 144/7*z**v + 0 + 0*z**4 - 32/7*z = 0.
-2/3, 0, 2
Let t(a) be the third derivative of -a**8/960 - a**7/840 - 13*a**5/20 + 26*a**2. Let z(h) be the third derivative of t(h). What is i in z(i) = 0?
-2/7, 0
Let i(k) = -k**3 + 31*k**2 + 65*k + 35. Let m be i(33). Determine q, given that -2/5 + 2/5*q**m + 0*q = 0.
-1, 1
Let z(u) be the first derivative of u**7/42 - u**6/10 - u**5/10 + u**4/2 + u**3/6 - 3*u**2/2 - u - 6. Let p(l) be the first derivative of z(l). Factor p(x).
(x - 3)*(x - 1)**2*(x + 1)**2
Let k(o) = o + 23. Let p be k(-23). Let j(c) be the third derivative of 0*c**4 + 1/12*c**3 + 0 + p*c**6 + 27/140*c**7 + 7*c**2 - 3/20*c**5 + 0*c. Factor j(u).
(3*u - 1)**2*(3*u + 1)**2/2
Let f(l) = 30*l**4 - 48*l**3 + 36*l**2 - 8*l - 10. Let q(z) = -46*z**4 + 72*z**3 - 54*z**2 + 12*z + 16. Let w(m) = -8*f(m) - 5*q(m). Factor w(v).
-2*v*(v - 1)**2*(5*v - 2)
Determine i, given that -13*i**3 + 14*i**3 + 2*i**3 = 0.
0
Suppose -2*p + p + 43 = -4*l, -5*p = 2*l + 5. Let f be l/25*1*-5. Find d, given that 5*d**3 - 9*d**3 - d**f - 7*d**2 - 4*d = 0.
-1, 0
Let o = 12 - -13. Suppose 4*b = 5*k - 21, -3 = 2*b + 5. Factor 0 - 19*r**3 - 3 - 16*r - o*r**2 + 0*r - k - 7*r**4 - r**5.
-(r + 1)**3*(r + 2)**2
Let y(l) be the second derivative of l**8/11760 - l**6/315 - 23*l**4/12 - 15*l. Let c(s) be the third derivative of y(s). Suppose c(a) = 0. Calculate a.
-2, 0, 2
Solve -m**5 - 40741*m**4 + 3*m**3 + 40741*m**4 - 2*m**2 = 0.
-2, 0, 1
Let m(w) be the first derivative of w**7/1260 + w**6/540 - 2*w**5/45 - w**4/3 + 5*w**3/3 - 10. Let a(p) be the third derivative of m(p). Solve a(g) = 0.
-2, 3
Let d(m) be the third derivative of -1/30*m**6 + 0*m - 2/105*m**7 - 4*m**2 + 1/5*m**5 + 0 + 1/6*m**4 - 4/3*m**3. Factor d(l).
-4*(l - 1)**2*(l + 1)*(l + 2)
Suppose 4*k - 30 = -5*s, 0 = -4*s + 171*k - 174*k + 24. Let u(b) be the first derivative of s*b**2 + 0*b + b**4 + 16/3*b**3 - 5. Factor u(q).
4*q*(q + 1)*(q + 3)
Let c(b) be the third derivative of -b**2 + 1/3*b**4 + 0*b + 1/30*b**5 - 1/60*b**6 + 0 - 4/3*b**3. Find a, given that c(a) = 0.
-2, 1, 2
Suppose 5*m = l + 20, 3*l - m - 9 + 27 = 0. Let s(a) = -5*a**2 + 85*a + 90. Let y(n) = -3*n**2 + 42*n + 45. Let x(g) = l*y(g) + 2*s(g). Factor x(d).
5*(d - 9)*(d + 1)
Let a = 21837/14566 - -6/7283. Determine p so that -a*p**3 + 3*p - 3/2*p**2 + 0 = 0.
-2, 0, 1
Factor -3/2*u + 1/2*u**3 - 1 + 0*u**2.
(u - 2)*(u + 1)**2/2
Let w(p) be the third derivative of p**9/75600 + p**8/8400 + p**7/3150 - 11*p**4/24 + 3*p**2. Let l(z) be the second derivative of w(z). What is d in l(d) = 0?
-2, 0
Let q(r) = 1. Let u be (-10)/45 + 114/27. Let c(m) = -m**2 + 7*m - 7. Let b be c(u). Let i(y) = 5*y**2 + 5*y - 5. Let s(x) = b*q(x) - i(x). Factor s(d).
-5*(d - 1)*(d + 2)
Let p(m) = 16*m**4 - 324*m**3 + 784*m**2 - 604*m + 168. Let u(t) = -t**3 - t**2 - t + 2. Let k(q) = p(q) - 20*u(q). Solve k(f) = 0 for f.
1/2, 2, 16
Suppose -126 = b + b. Let y be 3/7 - 99/b. Suppose 0*p - 16*p**2 + p + 14*p**y - p**5 + 2*p**4 = 0. Calculate p.
-1, 0, 1
Let g be (-290)/(-58) - (-1 + 1). Let k(b) be the second derivative of 0 - 1/3*b**4 + 1/3*b**3 + 1/10*b**5 + g*b + 0*b**2. Factor k(r).
2*r*(r - 1)**2
Let y(n) be the second derivative of -2*n**7/21 + 46*n**6/5 - 230*n**5 - 526*n**4 + 12670*n**3/3 - 7350*n**2 + 861*n. Determine s so that y(s) = 0.
-3, 1, 35
Let i be 1*(2 - 3) - (-3 - -2). Let g(l) be the first derivative of i*l - 4 - 2/5*l**5 + 1/2*l**2 + 0*l**4 - 1/6*l**6 + 2/3*l**3. Factor g(w).
-w*(w - 1)*(w + 1)**3
Let s(j) be the second derivative of 0*j**2 - 1/72*j**4 + 0 - 1/36*j**3 - 3*j. Suppose s(v) = 0. Calculate v.
-1, 0
Factor -11*d**2 + 1630*d**3 + 0*d - 1629*d**3 + 18*d.
d*(d - 9)*(d - 2)
Suppose -8/3 + 38/3*f**4 - 35/3*f**3 - 10*f**2 + 44/3*f - 3*f**5 = 0. Calculate f.
-1, 2/9, 1, 2
Let d be -1 + (-12)/(-8) - (-17)/(-34). What is r in 1/7*r**5 + 0 - 1/7*r**2 + 1/7*r**4 - 1/7*r**3 + d*r = 0?
-1, 0, 1
Factor -18*o - 5*o**2 - 4 + 16*o + 2*o**3 + 9*o**2 + 0.
2*(o - 1)*(o + 1)*(o + 2)
Let r(h) be the third derivative of -h**6/120 - 3*h**5/20 - 3*h**4/4 + 5*h**3/3 + 2*h**2 + 9. Let d be r(-5). Factor 0 + 1/2*o + d*o**2 - 1/2*o**3.
-o*(o - 1)*(o + 1)/2
Find g, given that 0 - 5*g - 5/4*g**2 = 0.
-4, 0
Let r be (16/(-12) + 1)*9. Let x be (-24)/r - (1 - -1). Factor -4*i + 39 - 3*i**3 + x*i - 5*i**2 + 4*i**4 + i - 38.
(i - 1)**2*(i + 1)*(4*i + 1)
Let