j(r) = -r**2 - 30*r - 29. Let o be j(-29). Suppose -4*u + 17 + 3 = o, -4*p - 4*u + 72 = 0. Factor 0*t**2 + 6*t**2 + 4*t**2 + p*t**3 + 20 - 18*t**3 + 35*t.
-5*(t - 4)*(t + 1)**2
Factor 786 + 1/2*k**3 + 788*k + 397/2*k**2.
(k + 2)**2*(k + 393)/2
Let i(x) = x**3 - 46*x**2 + 79*x + 396. Let t be i(44). Let p(d) be the second derivative of 33*d + t + 35/2*d**3 + 95/12*d**4 + 5*d**2. Factor p(c).
5*(c + 1)*(19*c + 2)
Let s(a) be the first derivative of 0*a - 1/34*a**4 - 2/17*a**2 + 2/17*a**3 - 18. Factor s(p).
-2*p*(p - 2)*(p - 1)/17
Let f(x) be the first derivative of -x**6/6 - 3*x**5/5 + x**4/4 + 11*x**3/3 + 6*x**2 + 4*x - 1038. Suppose f(a) = 0. Calculate a.
-2, -1, 2
Suppose 66*w = 58*w. Let q be (-330)/99 - (-10 - w). Factor -q*v + 8 - 4/3*v**2.
-4*(v - 1)*(v + 6)/3
Let g(z) be the first derivative of -76 - 115/2*z**2 + 5/3*z**3 - 120*z. Find d, given that g(d) = 0.
-1, 24
Let v(z) be the first derivative of z**4/18 - 8*z**3/27 - 275*z**2/9 + 484*z - 3178. Factor v(h).
2*(h - 11)**2*(h + 18)/9
Let g(w) = -2*w**2 + 35*w + 293. Let r be g(-7). Let o be (-258)/(-4257) - r/264. Factor -1/4*s**2 + 3/2 - o*s.
-(s - 2)*(s + 3)/4
Let m(a) be the first derivative of a**5/30 - 14*a**4/9 + 53*a**3/9 - 26*a**2/3 - 110*a - 12. Let j(i) be the first derivative of m(i). Factor j(s).
2*(s - 26)*(s - 1)**2/3
Factor -288/11*j**3 + 5296/11*j**2 - 26530/11*j + 19600/11.
-2*(4*j - 35)**2*(9*j - 8)/11
Let n(q) = -4*q**3 + 512*q**2 + 28*q - 2042. Let s(c) = 4*c**3 - 512*c**2 - 26*c + 2043. Let d(z) = 5*n(z) + 6*s(z). Find x such that d(x) = 0.
-2, 2, 128
Let f(p) = -p + 5. Let d be f(2). Let t(a) be the first derivative of -2 + 134*a**5 - 138*a**5 + 5*a**4 - d*a**4 + 2*a**6. Factor t(g).
4*g**3*(g - 1)*(3*g - 2)
Let c(d) = -18*d - 16. Let m be c(-5). Factor 54*s - m*s**4 + 24 + 2*s**5 + 0*s**5 + 21*s**2 + 65*s**4 - 21*s**3 + s**5.
3*(s - 4)*(s - 2)*(s + 1)**3
Let q(p) = -5*p**2 - 20*p + 113. Let x(m) = 15*m**2 + 60*m - 341. Let l(t) = -13*q(t) - 4*x(t). Let l(w) = 0. Calculate w.
-7, 3
Let v = 284 - 282. Solve -3 + 38*d**2 - 81*d**v - 28*d + 34*d**2 = 0 for d.
-3, -1/9
Solve 2*x**5 + 97*x**4 + 6271*x**3 + 12764*x**2 - 12996 - 1040*x**3 + 1721*x**3 + 135*x**4 - 6954*x = 0 for x.
-57, -2, -1, 1
Let t(q) be the first derivative of q**6/3 + 10*q**5/9 - 11*q**4/6 - 62*q**3/9 - 32*q**2/9 + 8*q/3 + 3495. Find a such that t(a) = 0.
-3, -1, 2/9, 2
Let p = 3481/3 + -11603/10. Let d(k) be the second derivative of 0*k**2 - 25*k - 3/5*k**5 - p*k**6 - 4*k**4 - 32/3*k**3 + 0. Determine s, given that d(s) = 0.
-4, 0
Let l(d) = -8*d + 61. Let v be l(7). Let k be -4 - 4*(v/10 - 2). Solve 0 + 2/3*i**4 + 0*i**3 - k*i**2 - 4/3*i = 0 for i.
-1, 0, 2
Suppose -5*t + s + 6 = 0, 0 = t - 7*s + 9*s - 10. Determine h so that 189*h - 3*h**5 + 42*h**t - 21*h**4 + 8*h**3 - 192*h - 21 - 2*h**3 = 0.
-7, -1, 1
Let a(r) = -5*r**2 + 177*r - 1617. Let h(w) = -10*w**2 + 355*w - 3235. Let d(x) = 6*x + 137. Let m be d(-22). Let v(i) = m*a(i) - 3*h(i). What is p in v(p) = 0?
18
Let x be (2*1/4)/((-1)/(-6)). Let z be (-5)/5 - -4 - (0 + x). Let z + 13/3*f**3 - 4*f**4 + 1/3*f - 2*f**2 + 4/3*f**5 = 0. What is f?
0, 1/2, 1
Suppose 3*y = 4 + 23. Suppose -12*t + y*t = -45. Factor 2*f**2 + t*f - 4*f**2 - 15*f + 2.
-2*(f - 1)*(f + 1)
Let d(t) be the second derivative of t**7/210 + t**6/30 + 45*t**2 - 60*t. Let s(k) be the first derivative of d(k). Factor s(m).
m**3*(m + 4)
Let s(x) = x**2 + 29*x - 18. Let f be s(-30). Find b, given that b**3 - 8*b**4 + f*b**4 - 4*b**3 - 8*b**2 - b**3 = 0.
-1, 0, 2
Let c be (-8*30/(-400))/((-45)/(-150)). Suppose -4/3*i**4 + 4*i**3 + 35/3*i**c + 8*i + 5/3 = 0. Calculate i.
-1, -1/2, 5
Suppose -710*c = -213*c - 216*c - 205*c - 380. Solve 9/2 - 27/2*l**4 - 43/2*l**3 + 9*l**2 + 79/4*l + 7/4*l**c = 0 for l.
-1, -2/7, 1, 9
Suppose -4*i = 5*a - 8, -2*i = -a - 0 - 4. Suppose -5*o - f = 2*f - 14, -f - i = 0. Find k such that -24*k**2 - o*k - 29 - 48*k**3 - 12*k**5 - 40*k**4 + 29 = 0.
-1, -1/3, 0
Let d(x) = 12*x + 64. Let b be d(-6). Let v be -1*(-4)/b*-4. Suppose -3 - 3/4*f**3 + 3/4*f + 3*f**v = 0. What is f?
-1, 1, 4
Find r such that -1/4*r**2 + 2211/2*r - 4888521/4 = 0.
2211
Solve 38*i**4 + 8*i**4 + 609*i - 34*i**4 + i**3 - 117*i**2 - 9*i**4 + 1470 - 22*i**3 = 0.
-5, -2, 7
Suppose 0 = 62*w - 19*w + 346623. Let j = w + 64635/8. Factor j + 3/8*c**2 + 21/4*c.
3*(c + 7)**2/8
Let f be (((-30)/12)/(-5))/((-1)/20). Let y be 2*(-11 + -1)/(-12 - f). Factor 18*c**2 + 21*c**4 + 6 - 12*c - 3 - 18*c**4 - y*c**3.
3*(c - 1)**4
Let q(a) = 3*a**2 + 1. Let h(o) = 79*o**2 + 2619*o - 630. Let b(l) = -2*h(l) + 50*q(l). What is j in b(j) = 0?
-655, 1/4
Let t be (-30)/(-189) + (-3179)/(-77) + -41. Suppose 80/9*k**4 + 32/9*k**5 + 34/9*k**3 + t*k**2 + 0*k + 0 = 0. Calculate k.
-2, -1/4, 0
Let t = 124 - 49. Factor 30*v**2 + 5 + 5*v**3 - 4 + 12 - t*v + 27.
5*(v - 1)**2*(v + 8)
Let j(i) be the second derivative of -i**5/130 + 21*i**4/13 - 605*i**3/39 - i - 50. Solve j(m) = 0.
0, 5, 121
Let o be (-18)/99 - 64/11. Let f be 9 + o + 2/1. Factor -17*v**5 + 8*v**4 + 4*v**2 + 33*v**5 - 14*v**f + 10*v**3.
2*v**2*(v + 1)**2*(v + 2)
Let w = -97 + 587. Factor -202*s - 15*s**3 - 57*s**2 - 163*s**2 - 142*s - w - 531*s.
-5*(s + 7)**2*(3*s + 2)
Let i = 121097/28 - 17299/4. Solve i*y**2 - 9/7 + 0*y = 0.
-3, 3
Let x(z) be the second derivative of -1/6*z**5 + 0 - 23/2*z**2 - 3*z - 4/3*z**3 - 2/3*z**4 - 1/60*z**6. Let j(y) be the first derivative of x(y). Factor j(q).
-2*(q + 1)*(q + 2)**2
Let u be 576/(-128)*(-8)/15. Factor -u*r**3 - 1/5*r**4 - 36/5*r**2 + 0 + 0*r.
-r**2*(r + 6)**2/5
Solve -730/3*x + 185/3*x**3 + 5/3*x**5 + 205/3*x**2 + 400/3 - 65/3*x**4 = 0 for x.
-2, 1, 5, 8
Let w = 31667 - 31664. Let q(n) be the third derivative of -1/10*n**5 + 0*n + 32*n**2 + 1/20*n**6 - 1/105*n**7 + 1/12*n**4 + 0*n**w + 0. Factor q(i).
-2*i*(i - 1)**3
Let d(w) = -29*w**3 + 1734*w**2 + 3456*w + 1747. Let y(s) = 16*s**3 - 867*s**2 - 1727*s - 874. Let m(x) = -5*d(x) - 9*y(x). Factor m(z).
(z - 869)*(z + 1)**2
Solve -1/2*n**3 - 49*n - 19/2*n**2 - 40 = 0.
-10, -8, -1
Let s(m) be the third derivative of -m**7/42 - 11*m**6/30 + 59*m**5/20 + 943*m**2. Let s(i) = 0. What is i?
-59/5, 0, 3
Suppose -268 - 256 + 980 - 448*j + 36*j**2 - 264 = 0. Calculate j.
4/9, 12
Let b(i) be the third derivative of -i**7/840 - i**6/96 - i**5/120 + i**4/12 + 764*i**2. Let b(z) = 0. What is z?
-4, -2, 0, 1
Factor 9/2*p**3 - 15 - 107/2*p + 64*p**2.
(p - 1)*(p + 15)*(9*p + 2)/2
Let k(q) = 6*q - 885. Let z be k(48). Let m be 576/256 - z/(-276). Factor -m - 2/23*y**2 + 4/23*y.
-2*(y - 1)**2/23
Let c(d) be the third derivative of d**5/270 - 7*d**4/12 - 24*d**3 - d**2 - 1151*d - 3. Factor c(t).
2*(t - 72)*(t + 9)/9
Let n(g) be the second derivative of -4*g**7/147 + 4*g**6/35 + 19*g**5/70 - 5*g**4/21 - 3*g**3/7 + 4*g**2/7 + 12*g + 2. Solve n(u) = 0.
-1, 1/2, 4
Let g = 5216 - -72. Let j = 26536/5 - g. Factor -128/5*b + j*b**2 + 4/5*b**4 - 32/5*b**3 + 64/5.
4*(b - 2)**4/5
Suppose -210*w + 802 + 503 = 110*w - 2215. Suppose w*n + 1/4*n**2 + 121 = 0. Calculate n.
-22
Let k(x) = 160*x - 4477. Let o be k(28). Factor 32/15 + 16/15*s**2 + 8/3*s + 2/15*s**o.
2*(s + 2)**2*(s + 4)/15
Let k(o) be the first derivative of 6/5*o - 2/5*o**3 + 1/5*o**2 + 9 - 1/10*o**4. Factor k(c).
-2*(c - 1)*(c + 1)*(c + 3)/5
Suppose -5*x - 2*q = -56, 31 = 5*x - 4*q - 7. Let g be (x/(-66))/((-80)/96). Find t, given that 0 - g*t**3 + 8/11*t + 6/11*t**2 = 0.
-1, 0, 4
Suppose 418 = -3*h + 3*j - 32, -5*j + 315 = -2*h. Let w = h - -208. Suppose -4 - 3*k**2 + 71*k + k**2 - w*k - k**2 = 0. What is k?
2/3, 2
Let q(m) be the second derivative of -15*m**4/4 - 11*m**3/2 + 6*m**2 - 50*m + 15. Factor q(d).
-3*(d + 1)*(15*d - 4)
Let t(f) = 11*f**3 - 91*f**2 + 240*f - 1726. Let a be t(8). Factor 0 + 2/5*w**a - 28/5*w.
2*w*(w - 14)/5
Let l = -86968 - -86970. Let -2/5*m**l + 4/5*m - 4/5*m**3 + 2/5*m**4 + 0 = 0. Calculate m.
-1, 0, 1, 2
Let h(a) be the third derivative of 0*a**3 - 52*a**2 - 5/24*a**4 + 1/12*a**5 + 0 - a. Factor h(c).
5*c*(c - 1)
Factor -1/3*u**3 - 8532*u - 17496 + 322/3*u**2.
-(u - 162)**2*(u + 2)/3
Let c(v) be the third derivative of -v**7/630 + 67*v**6/360 - 85*v**5/12 + 5053*v**4/72 - 1922*v**3/9 + 117*v**2 + 25. Suppose c(w) = 0. What is w?
1, 4, 31
Suppose -16*s = 1319 - 263. Let v be (-44)/s + 2/(-6). Facto