Let p = -9174 + 9178. Let i be 2 - (-3)/21*4. Let -32/7*f**2 + 0 - 6*f**3 - 8/7*f - i*f**p = 0. Calculate f.
-1, -2/3, 0
Suppose 0 = y + y - 4. Let p = 3 + y. Solve -2*k**3 - 4*k**p + 2*k**5 - 8*k**4 + 12*k**4 = 0.
0, 1
Suppose 0 = 4*w - 16. Let 6*l + 4*l**2 - 3*l**4 + 8*l**4 + w*l - 19*l**2 = 0. What is l?
-2, 0, 1
Let r(x) be the third derivative of -x**7/42 - x**6/24 + x**5/6 - 7*x**2. What is i in r(i) = 0?
-2, 0, 1
Let r(s) be the first derivative of s**4/18 + 4*s**3/27 - 8*s**2/9 + 58. Suppose r(g) = 0. What is g?
-4, 0, 2
Let h(x) be the first derivative of -7/16*x**4 - 23/12*x**3 + 0*x + 2 - 3/4*x**2. Solve h(y) = 0.
-3, -2/7, 0
Let g(r) be the second derivative of -r**6/10 - 12*r**5/5 - 45*r**4/4 + 81*r**3 - 74*r + 2. Factor g(s).
-3*s*(s - 2)*(s + 9)**2
Let z(b) be the first derivative of b**7/105 - b**6/60 - 13*b**2/2 - 44. Let m(k) be the second derivative of z(k). Suppose m(a) = 0. What is a?
0, 1
Let l(o) be the third derivative of o**5/210 + 17*o**4/14 + 867*o**3/7 + 163*o**2 + 1. What is m in l(m) = 0?
-51
Suppose -2518 = -13*c - 2492. Factor 0*f**c + 0 + 3/4*f**3 - 1/4*f**4 - f.
-f*(f - 2)**2*(f + 1)/4
Suppose k - 23 = -21. Suppose 2/3 + a + 1/3*a**k = 0. What is a?
-2, -1
Let m be (21 + -16)*(0 - 1)*5. Let g be m + 24 + (-16)/(-3). Let -19/3*l**2 - g*l**3 - 11/3*l - l**4 - 2/3 = 0. What is l?
-2, -1, -1/3
Let m be (12/(-18) + (-2)/(-6))*-3. Let a be (3 + ((-160)/(-12))/8)/m. Factor -10*b + 6 + a*b**2 - 2/3*b**3.
-2*(b - 3)**2*(b - 1)/3
Let w(d) be the second derivative of d**6/30 - 17*d**5/20 + 25*d**4/3 - 38*d**3 + 72*d**2 + 300*d. Factor w(z).
(z - 6)**2*(z - 4)*(z - 1)
Let u(c) be the second derivative of -c**5/5 - 9*c**4 - 255*c + 2. Factor u(k).
-4*k**2*(k + 27)
Factor 1/3*a - 4 + 1/3*a**2.
(a - 3)*(a + 4)/3
Let p(j) be the second derivative of -j**6/30 - 3*j**5/10 - j**4/3 + j**3 + 5*j**2/2 + 336*j + 2. Factor p(h).
-(h - 1)*(h + 1)**2*(h + 5)
Factor -3*v**2 - 33*v**4 - 10*v**4 + 174*v**3 - 150*v**3 - 5*v**4.
-3*v**2*(4*v - 1)**2
Suppose -3*s + 3 = -6. Let q = -1 + s. Factor -9*f**2 + q*f**4 - 3*f - 9*f**3 - 4*f**4 + f**4 - 2*f**4.
-3*f*(f + 1)**3
Factor 64/3*p**2 - 112/3*p**4 + 0 - 32/9*p - 176/9*p**3 - 98/9*p**5.
-2*p*(p + 2)**2*(7*p - 2)**2/9
Suppose 0*z - 5*z - 30 = -5*n, z - 21 = -2*n. Let g = n - 17/2. Find a such that -a**4 - g*a**3 + 0 + 0*a**2 + 0*a - 1/2*a**5 = 0.
-1, 0
Suppose 2*x - 12 = -p, 2*x - 2*p = -4*p + 14. Suppose 0 = x*h - 43 + 8. Find r, given that h + 0 - 12*r + 3*r**2 + 4 - 2 = 0.
1, 3
Let m(p) = -p + 8. Let f be m(8). Suppose 2*k + 10 = f, -2*s + k = -k - 14. Factor 0*h**2 - h + 0*h**2 + s*h + h**2.
h*(h + 1)
Let p be (2/3)/((-3)/(-9)). Suppose p*w + w = 12. Factor -4*q + 0*q**5 - 18*q**3 - 14*q**2 - 6*q**5 + 4*q**5 - 10*q**w.
-2*q*(q + 1)**3*(q + 2)
Let g = -76 - -381/5. Let q be (-100)/30*(-6)/10. Solve 0 + 7/5*u**4 + u**q - 9/5*u**3 - 2/5*u**5 - g*u = 0.
0, 1/2, 1
Let f(v) be the first derivative of -2*v**3/15 - 136*v**2/5 - 9248*v/5 + 488. Factor f(n).
-2*(n + 68)**2/5
Factor 0*g**3 + 0 + 16/5*g**4 - 64/5*g - 64/5*g**2 + 4/5*g**5.
4*g*(g - 2)*(g + 2)**3/5
Let v(a) be the first derivative of -3*a**4/4 - 4*a**3 - 6*a**2 + 53. Factor v(r).
-3*r*(r + 2)**2
Let d(m) be the third derivative of m**7/210 + m**6/240 + 5*m**4/6 - 29*m**2. Let t(a) be the second derivative of d(a). Factor t(g).
3*g*(4*g + 1)
Let 23980 - 32*k - 23664 + 344*k - 4*k**2 = 0. Calculate k.
-1, 79
Determine h, given that -5/6*h**3 + 5/6*h + 0 - 1/6*h**2 + 1/6*h**4 = 0.
-1, 0, 1, 5
Let i(u) be the first derivative of -u**8/168 + u**6/20 + u**5/15 - 17*u**2/2 + 7. Let n(m) be the second derivative of i(m). Let n(p) = 0. What is p?
-1, 0, 2
Let j = 312 + -310. Factor 2/5*u**3 - 2/5*u - 2/5 + 2/5*u**j.
2*(u - 1)*(u + 1)**2/5
Let n(x) = -5*x**3 + 18*x**2 + 153*x + 132. Let h(k) = -k**3. Let p(w) = -2*h(w) + n(w). Determine i, given that p(i) = 0.
-4, -1, 11
Factor -1/6*v**2 - 112/3*v - 6272/3.
-(v + 112)**2/6
Let r = 353/21 + -1/7. Let -8*x**2 + r*x - 4 - 14/3*x**3 = 0. Calculate x.
-3, 2/7, 1
Suppose -3*m = 2*s + 1 - 20, 0 = s - 3*m + 4. Suppose a = 5*h - 19, s*h - 4*a + 8*a = -1. Factor -h*w**5 + 0 + 51/5*w**4 - 63/5*w**3 - 6/5*w + 33/5*w**2.
-3*w*(w - 1)**3*(5*w - 2)/5
Solve 95*t + 722/3 + 1/3*t**3 - 12*t**2 = 0 for t.
-2, 19
Let q(z) = z + 1. Let s be (-4 + 3 + -5)*2. Let x(m) = 6*m**4 + 4*m**3 - 8*m**2 - 16*m - 10. Let f(y) = s*q(y) - x(y). Solve f(j) = 0 for j.
-1, 1/3, 1
Let i(k) = -5*k**2 + 840*k - 35275. Let h(m) = 1. Let j(w) = -5*h(w) + i(w). Factor j(f).
-5*(f - 84)**2
Let t(a) be the first derivative of -a**6/180 + a**5/15 - 16*a**3/3 - 5. Let i(x) be the third derivative of t(x). Factor i(z).
-2*z*(z - 4)
Suppose 2*l - 6 = -i - i, 3*l - 5 = -i. Let d(g) be the third derivative of 0 - g**i + 1/40*g**5 + 0*g + 0*g**4 - g**3. Let d(x) = 0. Calculate x.
-2, 2
Suppose -4*a = -4*y + 524, 2*y + 6 + 4 = 0. Let t be 4 + -10 - a/22. Let -t*u**2 + 0 + 0*u = 0. What is u?
0
Suppose 0 = 4*a - 3*h + 67, 3*h - 2*h - 54 = 3*a. Let b = a - -22. Factor -12*z + 6*z**3 - 12*z**4 + 4*z**5 + 4 - z**3 - 3*z**b + 8*z**2 + 6*z**3.
4*(z - 1)**4*(z + 1)
Let x be 28/(-182) - ((-40)/39)/(-2) - -1. Solve g**3 - g**2 - x*g**4 + 1/3*g + 0 = 0 for g.
0, 1
Let -4/7*i**3 + 118/7*i**2 + 62/7 + 184/7*i = 0. What is i?
-1, -1/2, 31
Let d(i) be the third derivative of -i**8/84 - 8*i**7/105 - i**6/5 - 4*i**5/15 - i**4/6 - 102*i**2. Determine m, given that d(m) = 0.
-1, 0
Let x(o) be the second derivative of o**6/60 + o**5/40 - o**4/48 - 12*o**2 + 4*o. Let z(u) be the first derivative of x(u). Determine s, given that z(s) = 0.
-1, 0, 1/4
Let i(f) be the second derivative of f**5/4 + 25*f**4/6 + 15*f**3/2 - 6*f + 18. Factor i(w).
5*w*(w + 1)*(w + 9)
Let k(r) be the second derivative of 5/4*r**4 + 1/10*r**5 - 9*r + 4*r**3 + 0 - 8*r**2. Let k(o) = 0. What is o?
-4, 1/2
Factor -180 + 376*x**3 + 16*x**2 + 25*x - 57*x**2 - 27*x**2 + 221*x - 374*x**3.
2*(x - 30)*(x - 3)*(x - 1)
Let m be ((-8)/76 + (-728)/304)/((-2)/4). Determine a so that 1/8*a + 0 + 1/8*a**m + 0*a**2 - 1/4*a**3 + 0*a**4 = 0.
-1, 0, 1
Let s = 606 + -601. Find k, given that -9*k**4 + 27/2*k**s + k**2 + 0 - 6*k**3 + 1/2*k = 0.
-1/3, 0, 1/3, 1
Let i = -1368 + 9578/7. Let g(h) be the second derivative of 1/21*h**4 + 6*h + 4/21*h**3 + i*h**2 + 0. Factor g(j).
4*(j + 1)**2/7
Let b(g) = -3*g**5 - 20*g**4 + 27*g**3 - 2*g**2 - 2*g - 2. Let d(z) = -2*z**5 - 20*z**4 + 28*z**3 - 3*z**2 - 3*z - 3. Let a(t) = 3*b(t) - 2*d(t). Factor a(f).
-5*f**3*(f - 1)*(f + 5)
Let f(y) be the first derivative of -3*y**4/4 + 291*y**3 - 31536*y**2 - 63948*y - 610. Factor f(r).
-3*(r - 146)**2*(r + 1)
Let u(t) be the second derivative of t**5/120 + 5*t**4/8 + 11*t**3/9 - 418*t - 2. Factor u(y).
y*(y + 1)*(y + 44)/6
Factor 15*k**3 + 669*k + 20*k**4 - 325*k - 3*k**3 - 48*k**2 - 328*k.
4*k*(k - 1)*(k + 2)*(5*k - 2)
Let r(d) be the third derivative of 35/24*d**4 + 7/24*d**7 - 5/6*d**3 + 0*d - 7/24*d**6 + 0 - 15/16*d**5 + 12*d**2. Suppose r(k) = 0. Calculate k.
-1, 2/7, 1
Let t(d) be the third derivative of -d**8/168 - d**7/105 + 3*d**6/20 + 3*d**5/10 + 48*d**2. Suppose t(a) = 0. What is a?
-3, -1, 0, 3
Suppose -z + 1 = -2. Let a = 48 + -46. Factor -k**z + 0*k**3 + 4*k**2 - 2*k**a - k**2.
-k**2*(k - 1)
Let t(d) be the third derivative of -d**7/42 + d**6/3 - d**5/2 - 25*d**4/3 - 125*d**3/6 - 28*d**2 + d. Let t(o) = 0. What is o?
-1, 5
Let q(y) be the first derivative of 0*y**2 - y**5 + 0*y + 4 - 5/6*y**6 + 5/3*y**3 + 5/4*y**4. Find v such that q(v) = 0.
-1, 0, 1
Suppose 0 = -3*w - 3*w. Find b such that -14*b + w*b - 12*b**3 - 20*b**2 + 16 + 30*b = 0.
-2, -2/3, 1
Let q(n) be the first derivative of 0*n + 0*n**2 + 0*n**3 + n**4 - 2 - 2/5*n**5 - 1/3*n**6. Suppose q(u) = 0. What is u?
-2, 0, 1
Let o = 25 + -23. Solve -2*z - z + 11*z + 4*z**o - 8*z**2 - 4*z**3 = 0 for z.
-2, 0, 1
Factor 19*a**2 - 9*a**2 - 4*a**2 + 0*a**3 - 3*a**3.
-3*a**2*(a - 2)
Let s(v) be the third derivative of v**5/135 + 154*v**4/27 + 47432*v**3/27 + 12*v**2 - 6. Factor s(h).
4*(h + 154)**2/9
Let m(w) = -11*w**5 + 57*w**3 - 118*w**2 - 28*w + 128. Let f(d) = 4*d**5 - 19*d**3 + 40*d**2 + 9*d - 43. Let l(k) = -8*f(k) - 3*m(k). What is t in l(t) = 0?
-5, -1, 2
Let v(p) = -p - 9. Let b be v(-12). Suppose -k + 5 = b*m - 1, -k = -2*m + 4. Factor k*j**5 + 6*j**3 - 9*j**4 