/7, 1
What is z in 3888 + 81/2*z**3 + 3/4*z**4 + 2916*z + 2619/4*z**2 = 0?
-24, -3
Let b = 15244/38085 - 2/7617. What is c in 2/5*c**5 + 2/5*c**4 - 2/5*c**2 + 0 - b*c**3 + 0*c = 0?
-1, 0, 1
Let a(f) be the third derivative of -22*f**2 + 0 + 1/360*f**5 + 2*f + 1/24*f**4 - 7/36*f**3. Let a(b) = 0. What is b?
-7, 1
Let s be (-54)/6 - (4396/(-126) - -15). Solve 8/9*q**2 + 0 + 8/3*q - s*q**4 - 98/3*q**3 = 0 for q.
-3, -2/7, 0, 2/7
Let x(n) be the second derivative of n**6/60 - n**5/30 - n**4/12 + n**3/3 - 6*n**2 + 31*n. Let w(y) be the first derivative of x(y). Factor w(s).
2*(s - 1)**2*(s + 1)
Let v(j) = -6*j - 1. Let o(f) = -4*f**2 - 8*f - 24. Let l(g) = -o(g) - 4*v(g). Factor l(q).
4*(q + 1)*(q + 7)
Let z(k) = k**3 + 39*k**2 + 41*k + 123. Let i be z(-38). Let n(g) be the second derivative of -2/3*g**3 + 1/3*g**4 - i*g + 0 + 0*g**2. Factor n(u).
4*u*(u - 1)
Let p = 14429 - 57713/4. Let d(h) be the second derivative of p*h**4 + 0 - 1/2*h**3 + 3/20*h**5 - 9/2*h**2 + 28*h. Factor d(v).
3*(v - 1)*(v + 1)*(v + 3)
Let f be -4*9/(180/(-5)). Let l be -11 + f/((-9)/(-144)). Let 16/5*h**3 + 0*h**2 + 0*h + 4/5*h**4 + 0 - 2/5*h**l = 0. What is h?
-2, 0, 4
Let n be 2/(-4)*(-1)/(3/18). Suppose j + v = -3, -8*v + n*v = -j + 21. Find g, given that j - 10*g - 3*g**2 + 5*g + 2 + 5*g**3 = 0.
-1, 3/5, 1
Suppose 0 = 2*k - 4*o, -9*k - 2*o = -11*k + 4. Factor 5*b**k - 8*b**4 + 24*b**3 - 3*b**4 - 51*b**2 + 30*b + 3*b**4.
-3*b*(b - 5)*(b - 2)*(b - 1)
Let u(s) = s**3 - 125*s**2 - 7*s + 191. Let d(k) = -2*k**3 + 249*k**2 + 15*k - 392. Let n(j) = -6*d(j) - 13*u(j). Let n(i) = 0. Calculate i.
-1, 1, 131
Let u(o) be the first derivative of 1/20*o**5 + 49 + 0*o**3 + 0*o + 0*o**4 + 0*o**2. Determine x, given that u(x) = 0.
0
Let y(h) be the third derivative of -1/6*h**6 + 5/4*h**4 - 101*h**2 + 1/42*h**7 + 0 + 0*h**3 + 1/12*h**5 + 0*h. Find b, given that y(b) = 0.
-1, 0, 2, 3
Let y(b) be the third derivative of 1/240*b**6 + 0*b**4 - 15/2*b**3 + 18*b**2 + 0 + 0*b + 3/80*b**5. Let i(k) be the first derivative of y(k). Factor i(j).
3*j*(j + 3)/2
Let h(o) = -3*o**2 + 48*o + 57. Let f(w) = w - 1. Suppose 12*i + 3 = -33. Let b(m) = i*f(m) - h(m). What is u in b(u) = 0?
-1, 18
Suppose 2*y - 3*y - 16 = 2*b, -b - y = 10. Let v be (b/18*0)/1. Factor 0*m**3 + 0*m**2 - 1/3*m**5 + v*m - 2/3*m**4 + 0.
-m**4*(m + 2)/3
Let y = -447 + 491. Factor -57*v - y*v**3 - 24 - 6*v**3 + 22 - 108*v**2 - 3*v**3.
-(v + 1)**2*(53*v + 2)
Suppose -5*j = -3*c - 7, -5*j - 4 + 19 = 5*c. Find t such that 12*t**2 + 9*t**j - 19*t**2 + 2000 + 3*t**2 + 200*t = 0.
-20
Factor 3/8*j**2 - 1755/4 + 57/8*j.
3*(j - 26)*(j + 45)/8
Let m(u) be the first derivative of u**5/20 - u**4/12 - 27*u - 7. Let g(p) be the first derivative of m(p). Factor g(h).
h**2*(h - 1)
Let a(b) be the second derivative of -b**5/160 + 11*b**4/64 + 31*b**2/2 - b + 18. Let s(n) be the first derivative of a(n). Factor s(q).
-3*q*(q - 11)/8
Let w be ((-6)/(-20))/(159/795). Let d(z) be the third derivative of 1/2*z**4 - 1/10*z**6 + 1/10*z**5 + 0*z + 0 + 1/70*z**7 - 10*z**2 - w*z**3. Factor d(j).
3*(j - 3)*(j - 1)**2*(j + 1)
Let s(l) = -17*l**2 + 13980*l - 4885989. Let g(v) = 25*v**2 - 20970*v + 7328985. Let m(y) = 7*g(y) + 10*s(y). Factor m(z).
5*(z - 699)**2
Suppose 5*x = 2*p + 2, -5*x + 5763*p - 5767*p = -56. Suppose 0 - 24/19*o**x + 24/19*o**2 + 2/19*o**5 - 28/19*o**3 + 26/19*o = 0. Calculate o.
-1, 0, 1, 13
Let q be 46/6 - (-4)/12. Suppose -b - 2 = -5. Let -21*p**3 + 2*p**2 - b*p - 9*p**4 - q*p**2 + 0*p**3 - 9*p**2 = 0. What is p?
-1, -1/3, 0
Let g(h) be the first derivative of 6*h - 2*h**3 - 3/4*h**4 + 3/2*h**2 + 15. Solve g(z) = 0.
-2, -1, 1
Let f be (-31)/(1550/20) + (-614)/(-10). Factor -60*j - 494 - f*j - 119*j - 3106 + 33*j**2 - 37*j**2.
-4*(j + 30)**2
Let a(k) = k**2 + 11*k - 98. Let l be a(-17). Find n such that -152*n**3 - 17*n**l - 20*n + 13*n**4 + 124*n**3 - 44*n**2 = 0.
-5, -1, 0
Factor 264578*m**2 - 71 - 264626*m**2 - 4*m**3 + 191 - 68*m.
-4*(m - 1)*(m + 3)*(m + 10)
Solve 21*d**4 + 99*d**2 + 0 - 3/2*d**5 - 81/2*d - 78*d**3 = 0 for d.
0, 1, 3, 9
Let v(q) be the third derivative of 67*q**2 - 1/3*q**5 - 5/24*q**4 + 5*q**3 + 0*q - 1/24*q**6 + 0. Find a such that v(a) = 0.
-3, -2, 1
Let a(h) be the third derivative of -h**6/30 + 7*h**5/15 + 73*h**4/6 + 130*h**3/3 - 2056*h**2. Determine v, given that a(v) = 0.
-5, -1, 13
Let v = 7 - 4. Let -5*w**v - 248*w**4 - 3*w**3 - 243*w**4 + 737*w**4 - 247*w**4 - 7*w**2 = 0. Calculate w.
-7, -1, 0
Let y(k) be the first derivative of 2*k**3/21 - 43*k**2/7 + 72*k + 1485. Factor y(h).
2*(h - 36)*(h - 7)/7
Suppose 5*x = 2*c - 36, 0*c + 2*x - 36 = -c. Let o(s) = s**2 + 20*s + 2. Let y be o(-20). Suppose 12*p + 22*p - c*p + p**y + 9 = 0. What is p?
-3
Let o(f) be the third derivative of f**6/24 + 13*f**5/3 + 85*f**4/8 - 1440*f**2. Determine z so that o(z) = 0.
-51, -1, 0
Let r(n) be the first derivative of n**5/10 + 35*n**4/8 + 79*n**3/3 + 61*n**2 + 60*n - 3653. Suppose r(t) = 0. Calculate t.
-30, -2, -1
Solve -153 + 3/2*d**2 - 147/2*d = 0 for d.
-2, 51
Solve 2/5*n**2 - 474/5*n + 0 = 0.
0, 237
Suppose -188/7*d**3 - 16/7*d**5 + 88/7*d**4 + 18/7 + 194/7*d**2 - 96/7*d = 0. What is d?
1/2, 1, 3/2
Suppose 4*u = -5*g + 13, -3*g + 12 = 2*u + 5. Let s(i) = 2*i. Let j(x) = -3*x**3 + 15*x**2 - 17*x + 9. Let t(a) = g*j(a) - 2*s(a). Factor t(m).
-3*(m - 3)*(m - 1)**2
Let o(g) = -4268*g - 8473. Let d be o(-2). What is x in -81/2 - 49/2*x**2 - d*x = 0?
-9/7
Let v(y) be the third derivative of -y**5/30 - 65*y**4/252 - 2*y**3/21 + 230*y**2 - 3. Factor v(n).
-2*(n + 3)*(21*n + 2)/21
Let f(c) = -3 + 5 - 31*c**2 - 6*c + 32*c**2. Let l be f(6). Factor 5*w - 36 - 5*w**4 - 4*w - 13*w + 2*w**4 + 27*w**l.
-3*(w - 2)**2*(w + 1)*(w + 3)
Let y(j) = 11*j**2 + 17*j - 6. Let p(n) = -10*n**2 - 15*n + 5. Suppose -w = m - 10, -w - w = -m - 5. Let z(l) = w*y(l) + 6*p(l). Suppose z(a) = 0. What is a?
-1, 0
Let x be 375/(-100) + -4 + 8 + (-3)/44. Factor -12/11*f**3 - 10/11*f**4 + 0*f**2 + 0*f - x*f**5 + 0.
-2*f**3*(f + 2)*(f + 3)/11
Suppose 6*r = 212 - 164. Solve m**2 - 19*m**3 + 7*m**3 + r*m**3 + 5*m**3 = 0.
-1, 0
Let i(y) be the third derivative of 7*y**5/270 + 41*y**4/108 - 110*y**3/27 + 6655*y**2. Factor i(j).
2*(j - 2)*(7*j + 55)/9
Let p(f) = f**2 + 8*f - 17. Let r be p(-10). Suppose -15 = r*l - 8*l. Determine a so that -6*a**2 - 14*a**2 + 5*a**3 - 64 - 4*a**l - 3*a**3 - 64*a = 0.
-4, -2
Factor z**2 + 10 - 3*z**2 + 24 + 16 + 38*z + 10*z.
-2*(z - 25)*(z + 1)
Suppose -134 = 53733*j - 53800*j. Factor -4/3 + 18*l - 65*l**j + 169/6*l**3.
(l - 2)*(13*l - 2)**2/6
Solve -489212*t - 4/5*t**3 + 1478940 - 6268/5*t**2 = 0 for t.
-785, 3
Let w = -225745/6 - -75259/2. Let 32/3 + 2/3*h**4 + w*h**3 + 64/3*h + 16*h**2 = 0. What is h?
-2
Let n be -19*6/(-6) + -5. Let g(j) = -j**3 + 14*j**2 + 3*j - 40. Let s be g(n). Suppose 6/11*i**s + 2/11 - 2/11*i**3 - 6/11*i = 0. What is i?
1
Let b = 12252 + -12247. Let p(y) be the first derivative of -1/2*y + 5/8*y**2 - 1/4*y**3 + 1/20*y**b - 1/16*y**4 - 15. Let p(l) = 0. Calculate l.
-2, 1
Factor -62/11*d + 60/11 - 2/11*d**3 + 20/11*d**2.
-2*(d - 5)*(d - 3)*(d - 2)/11
Let m be 187/(-1309)*(-1 + 1)*1*-1. Suppose m + 0*j - 3/2*j**4 + 3*j**3 + 0*j**2 = 0. Calculate j.
0, 2
Factor 2*u**2 + 368*u + 6*u**2 + 7559 + 8*u**2 - 15*u**2 + 26297.
(u + 184)**2
Determine m so that -227*m**2 + 1128 - 870*m + 150*m**3 - 178*m**2 - 75*m**4 + 72*m**4 = 0.
-2, 1, 4, 47
Let k(s) be the second derivative of s**4/3 + 28*s**3 + 304*s**2 + 2*s - 332. What is p in k(p) = 0?
-38, -4
Factor 121 + 153*a - 13*a**3 - 66 + 23*a**3 + 107 - 13*a**3 - 12*a**2.
-3*(a - 6)*(a + 1)*(a + 9)
Suppose 3*w - w + 4*p = 28, 0 = -2*w + 3*p. Suppose -17 + 38 = 5*d - c, 2*c = -5*d + 33. Factor -t**2 + 0*t**2 - t**3 - d*t**4 + t**5 + w*t**4.
t**2*(t - 1)*(t + 1)**2
Let 24/7*p**3 + 12/7*p**4 - 48/7*p + 192/7 - 3/7*p**5 - 96/7*p**2 = 0. What is p?
-2, 2, 4
Let p(b) be the second derivative of -2*b**6/75 - 58*b**5/25 - 83*b**4/5 + 34336*b**3/15 - 175232*b**2/5 - 7*b - 464. Find g, given that p(g) = 0.
-37, 8
Let j be -4 - (-3)/(-6)*12. Let w be 38/6 + j/(-15). Find h such that -6 + 5*h + 15*h**2 + 2*h**3 - 4*h**4 - h**4 - 4 - w*h**3 = 0.
-2, -1, 1
Let p(i) be the first derivative of -i**6/3 + 6*i**5/5 + 11*i**4 - 8*i**3 - 72*i**2 - 6321. What is j in p(j) = 0?
-3, -2,