*(4*o - 1)/5
Let b(m) be the third derivative of -7*m**2 + 0*m**3 + 0 + 1/48*m**4 + 0*m - 1/120*m**5. What is i in b(i) = 0?
0, 1
Let q(x) be the first derivative of -x**4/24 + 5*x**3/6 + 11*x**2/4 + 29*x - 8. Let z(d) be the first derivative of q(d). Factor z(k).
-(k - 11)*(k + 1)/2
Let t = 23 + -23. Let n(l) = l**3 - 5*l**2 + l - 3. Let d be n(5). Factor 14*j**4 - 1/2*j**3 + 0 - j**d + t*j.
j**2*(4*j + 1)*(7*j - 2)/2
Let v(h) be the second derivative of -5*h**5 - 65*h**4/12 - 5*h**3/3 - 18*h - 3. Determine q so that v(q) = 0.
-2/5, -1/4, 0
Let z be (-204)/4199 + ((-4)/(-26))/1. Determine w so that -z*w**3 + 0*w + 0 + 2/19*w**2 = 0.
0, 1
Let p(y) be the first derivative of -y**5/2 - 10*y**4 - 65*y**3 - 140*y**2 - 245*y/2 - 50. Find q such that p(q) = 0.
-7, -1
Let t = -155 - -153. Let o be ((-32)/(-20))/(-8) - t. Factor o*l**2 + 3/5 - 9/5*l - 3/5*l**3.
-3*(l - 1)**3/5
Let r(i) be the third derivative of -i**5/140 - i**4/14 + 24*i**2 - 1. Solve r(t) = 0 for t.
-4, 0
Determine r, given that -28*r - 80/3 - 4/3*r**2 = 0.
-20, -1
Let h be (12/5)/(5/25). Determine k so that 627*k + 15*k**2 - 302*k + h + 3*k**3 - 301*k = 0.
-2, -1
Determine v so that 50*v**5 + 86*v**2 + 22*v + 6*v + 24 - 162*v**3 + 84*v - 14*v**4 - 96*v**4 = 0.
-1, -2/5, 1, 3
Let s(g) be the first derivative of 0*g**5 + 0*g**2 + 0*g**3 - g**4 - 19 + 0*g + 2/3*g**6. Factor s(h).
4*h**3*(h - 1)*(h + 1)
Let u(s) be the second derivative of s**6/90 - 13*s**5/10 + 1669*s**4/36 - 962*s**3/3 + 2738*s**2/3 + 495*s. Factor u(r).
(r - 37)**2*(r - 2)**2/3
Solve 2/3 + 25/6*w**2 + 1/6*w**5 + 8/3*w + 19/6*w**3 + 7/6*w**4 = 0.
-2, -1
Suppose -4*a = a. Suppose 2*u = 5*r + 4, -3*r + 2 = -a*u + u. Factor 2*d**3 - 11*d**3 + u*d**3 - 8*d**4 + 5*d**3.
-2*d**3*(4*d + 1)
Let b(o) be the second derivative of 17/135*o**6 - 2/27*o**3 + 0 - 5/189*o**7 + 0*o**2 + 11/54*o**4 + 15*o - 7/30*o**5. Let b(m) = 0. Calculate m.
0, 2/5, 1
Let p = 4/17 + 22/51. Factor 4/3*b**4 + 0*b**3 - 4/3*b**2 + 2/3*b + 0 - p*b**5.
-2*b*(b - 1)**3*(b + 1)/3
Let y = 87 + -259/3. Suppose -21 - 12 = -11*c. Factor 0 - 4/3*i + y*i**4 - 2*i**2 + 0*i**c.
2*i*(i - 2)*(i + 1)**2/3
Suppose 0 + 116/5*t**3 + 112/5*t + 226/5*t**2 + 2/5*t**4 = 0. What is t?
-56, -1, 0
Find p, given that -4*p**3 + 6*p**2 - 30 - 26*p + 7*p**3 - 2*p**3 + p**3 = 0.
-5, -1, 3
Let t(k) be the second derivative of k**4/27 - 16*k**3/27 + 8*k**2/3 - 12*k - 3. Determine v, given that t(v) = 0.
2, 6
Let y(r) be the third derivative of 62*r**6/15 - 55*r**5/3 + 53*r**4/6 + 4*r**3/3 + 535*r**2. Determine w, given that y(w) = 0.
-1/31, 1/4, 2
Let c be -2 + (-7)/(-5) - -58*(-24)/(-320). Factor 9/4*z**2 - 3/4*z**3 - 3/4*z**4 + 3/2 + c*z.
-3*(z - 2)*(z + 1)**3/4
Let z be (76/15 - 5)/(24/180). Solve 1/2 - 3/2*c**2 + 1/4*c + z*c**4 + 1/4*c**3 = 0.
-2, -1/2, 1
Let w = -12 - -15. Let t be 4 - w/((-9)/(-6)). Find y such that -y**4 - 9*y**5 - 2*y**4 + t*y**4 + 8*y**5 = 0.
-1, 0
Let n(o) be the third derivative of o**6/60 + o**5/3 - 53*o**4/12 + 14*o**3 - 78*o**2 - 2*o. Factor n(y).
2*(y - 3)*(y - 1)*(y + 14)
Let w be ((-4)/(-12))/((-28)/30 + 1). Let d be (16 + -2)/(15/w). Factor 2 - 55/6*i**2 - d*i + 7/2*i**3.
(i - 3)*(3*i + 2)*(7*i - 2)/6
Let a(n) be the third derivative of -n**5/30 - 5*n**4/12 - 2*n**3 + 34*n**2. Factor a(d).
-2*(d + 2)*(d + 3)
Let r(p) = p**3 - 7*p**2 - 2*p. Let j(d) = 2*d**3 - 8*d**2 - d - 1. Let t(k) = -2*j(k) + 3*r(k). Let v be t(-4). Determine i so that 1/5*i**v + 0 + 0*i = 0.
0
Let g be 286/44 + (-2)/4. Suppose 2*u - 5*b + 3 = -2*u, g = 5*u - 3*b. Suppose 2/3*v**u + 2/3 - 2/3*v - 2/3*v**2 = 0. Calculate v.
-1, 1
Suppose -5/2 + 1/2*j - 1/2*j**3 + 5/2*j**2 = 0. Calculate j.
-1, 1, 5
Let w(g) be the first derivative of -5*g**4/4 - 10*g**3 - 55*g**2/2 - 30*g + 46. Factor w(l).
-5*(l + 1)*(l + 2)*(l + 3)
Let q = 11 + -7. Suppose 8*g - q = 6*g. Solve 5 + 6 + 6 + y**g - 8 + 6*y = 0.
-3
Determine r so that 0 - 6/7*r + 279/7*r**2 = 0.
0, 2/93
Let r(u) = -u**3 + 4*u**2 - 4*u + 2. Let x be 1/(-2) + 50/20. Let v be r(x). Find q, given that 0*q**v + 3*q**2 - 2*q - q**2 = 0.
0, 1
Let z(f) be the third derivative of -f**5/15 + 2*f**4 + 81*f**2. Let z(m) = 0. Calculate m.
0, 12
Let c = -1444 - -1449. Let z(p) be the second derivative of -1/5*p**c + 0*p**2 + p + 0 + 1/15*p**6 + 1/6*p**4 + 0*p**3. Factor z(x).
2*x**2*(x - 1)**2
Let z = -26 + 28. Determine s so that -8 - 5*s**z + 27 - 14 = 0.
-1, 1
Let b be -3 + 4*1/1. Let y be 2/((-18)/(-21)) - (b - 4). Factor 8*o + 2/3*o**3 + 4*o**2 + y.
2*(o + 2)**3/3
Let q(w) = w**2 + 1. Let l be 2 - 169/(-6) - 1/6. Let a(k) = -5*k**2 - 2*k - 5. Let c(d) = l*q(d) + 5*a(d). Suppose c(u) = 0. What is u?
1
Let n(d) be the third derivative of -d**6/420 + 8*d**5/35 - 64*d**4/7 + 4096*d**3/21 + 4*d**2. Determine v, given that n(v) = 0.
16
Factor 3*u**3 - 15*u**2 + 85*u - 32*u + 36 - 36*u - 41*u.
3*(u - 6)*(u - 1)*(u + 2)
Let c(t) be the first derivative of t**5/5 + 5*t**4/4 + 7*t**3/3 + 3*t**2/2 - 463. Find d, given that c(d) = 0.
-3, -1, 0
Let s be (-1)/(-2) + (-1)/2. Let p = 3/1039 + 2057/7273. Factor s - 4/7*f**4 + 0*f - 2/7*f**3 + p*f**2.
-2*f**2*(f + 1)*(2*f - 1)/7
Let i(v) be the first derivative of -v**5/5 - 15. Solve i(x) = 0.
0
Let y(s) = s**4 - 5*s**3 + 4*s**2 + 5*s + 10. Let b(k) = -k**4 + 6*k**3 - 5*k**2 - 4*k - 8. Let q(i) = -5*b(i) - 4*y(i). Let q(l) = 0. What is l?
0, 1, 9
Let n = -6 - -12. Factor -2*s**4 + 12*s**4 - 2*s**4 - 4*s + 4*s**3 - n*s**4 - 2.
2*(s - 1)*(s + 1)**3
Let c(r) be the first derivative of r**4/42 - 52*r**3/63 - 167. Factor c(t).
2*t**2*(t - 26)/21
Let w(x) be the first derivative of 32/9*x + 2/27*x**3 - 3 - 8/9*x**2. Let w(d) = 0. What is d?
4
Let k(r) = r**2 + 12*r - 13. Suppose 0*c = -2*c + 10. Let i(g) = -10 + 12 - g**2 + c - 6*g. Let p(q) = 5*i(q) + 2*k(q). Determine s, given that p(s) = 0.
-3, 1
Suppose -f - 1 = -4. Let b be -4 + f + (0 - -3). Find l, given that -l**2 - 5*l - b*l**2 - 3*l**3 - 1 - 4*l**2 = 0.
-1, -1/3
Let 7/4*p**2 + p**3 - 5/4*p - 3/2 = 0. Calculate p.
-2, -3/4, 1
Let l(b) be the third derivative of b**7/210 + b**6/18 + 4*b**5/15 + 2*b**4/3 - 5*b**3/6 - 11*b**2. Let o(j) be the first derivative of l(j). Factor o(a).
4*(a + 1)*(a + 2)**2
Suppose 5*q = -4*n - 2, -q + 2*n + 5 = n. Suppose 0*s - q*s + 8 = 0. Solve 4*b**3 + 3*b**2 - 3*b**3 - s*b**3 = 0.
0, 1
Let q(s) = -s**2 - 22*s - 57. Let o be q(-19). Let l(y) be the first derivative of 0*y - 1/9*y**3 + o*y**2 + 4. Solve l(t) = 0.
0
Let b(p) = -51*p**2 + 103*p - 2. Let z be b(2). Factor z + 2/3*q**2 - 4*q + 2/3*q**3.
2*q*(q - 2)*(q + 3)/3
Suppose 4*o = 35 - 19. Factor -2*b**3 - 2*b**o + 0*b + 0*b + 6*b**4.
2*b**3*(2*b - 1)
Factor p**3 - 3/2*p - 1/4*p**4 + 0 - 1/4*p**2.
-p*(p - 3)*(p - 2)*(p + 1)/4
Suppose 200*c**2 + 120*c + 1 - 23*c + 4 + 172*c - 64*c = 0. Calculate c.
-1, -1/40
Suppose -1710*t + 3580*t = 1797*t + 146. Factor -62/9*o**2 + 2/3*o**3 + 74/9*o - t.
2*(o - 9)*(o - 1)*(3*o - 1)/9
Factor -u**2 - 1/3*u**4 + 4/3*u**3 - 4/3*u + 4/3.
-(u - 2)**2*(u - 1)*(u + 1)/3
Let s = 93 - 88. Factor m**2 - s*m**3 + 10*m**3 - 25*m - 4*m**2 + 23*m**2.
5*m*(m - 1)*(m + 5)
Find a, given that -693/5*a + 351/5*a**2 + 69 - 3/5*a**3 = 0.
1, 115
Let o be 808/909*(-18)/(-4). Factor 4/3*h**3 - 4/3*h + 2/3*h**2 - 2/3*h**o + 0.
-2*h*(h - 2)*(h - 1)*(h + 1)/3
Let p(s) be the second derivative of s**5/80 + s**4/16 - s**3/24 - 3*s**2/8 - 179*s. Factor p(u).
(u - 1)*(u + 1)*(u + 3)/4
Let i(t) be the second derivative of 1/90*t**5 + 2/9*t**2 + 0 + 5/27*t**3 + 30*t + 2/27*t**4. What is m in i(m) = 0?
-2, -1
Let y(l) be the second derivative of l**6/6 - l**5/2 - 25*l**4/4 + 30*l**3 + 119*l. What is h in y(h) = 0?
-4, 0, 3
Let n(o) be the third derivative of o**6/90 - o**4/6 - 7*o**3/6 + 14*o**2. Let g(i) be the first derivative of n(i). Factor g(x).
4*(x - 1)*(x + 1)
Suppose -4*d + 6*d + 30 = 4*z, 3*z = d + 23. Let r(n) be the first derivative of -z*n + 4*n**2 - 4 - 2/3*n**3. Determine t so that r(t) = 0.
2
Let o = 485/4427 + -1/233. Let q = 279 - 5299/19. Determine s so that -2/19*s**5 - q + 4/19*s**3 - o*s**4 + 4/19*s**2 - 2/19*s = 0.
-1, 1
Solve -3/4*b**5 + 27/4*b**2 - 7/4*b**4 + 15/4*b**3 - b - 3 = 0 for b.
-3, -1, 2/3, 2
Let d = 29/492 + 217/492. Solve 14*u - 98 - d*u**2 = 0.
14
Suppose 0 = 5*k + 5*o - 235, 4*o + 64 = 2*k - 0*k. Let f = -34 + k. Factor f*w**2 - 2