+ 0*i**3 + 1/4*i - 1/2*i**4 + 0 - c*i**5.
-i*(i - 1)*(i + 1)**3/4
Let j = 70 + -58. Suppose 25*r - 28*r = -j. Factor 12*q**3 + 4*q**5 - 16*q - 4*q**r - 12*q**4 + q**2 + 19*q**2 - 4*q**2.
4*q*(q - 2)**2*(q - 1)*(q + 1)
Let h(c) be the first derivative of -c**4/4 + c**2/2 + 60. Let a(p) = 2*p**4 - 5*p**3 - 6*p**2 + 17*p - 8. Let l(t) = a(t) - h(t). Solve l(i) = 0.
-2, 1, 2
Suppose 3*f = 3*n - 21, 9152*n + 4*f + 26 = 9155*n. Solve -3/2*s**4 + 0*s - 3/2*s**n + 3*s**3 + 0 = 0 for s.
0, 1
Let h(v) be the third derivative of v**6/540 - 41*v**5/270 - 385*v**4/108 - 343*v**3/27 - 870*v**2 + 2*v. Solve h(q) = 0 for q.
-7, -1, 49
Let x = 121 + -119. What is f in -35*f + 205*f**x - 125*f**3 - 2*f**4 - 41*f**4 - 2*f**4 - 160*f**3 = 0?
-7, 0, 1/3
Let z(l) be the first derivative of -l**4/26 + 394*l**3/39 - 391*l**2/13 + 30*l + 971. Factor z(t).
-2*(t - 195)*(t - 1)**2/13
Solve 237566 - 16006 + 4*l**2 + 260*l + 88689 + 854*l - 3*l**2 = 0 for l.
-557
Let d(h) = 6*h**3 + h**2 - 24*h - 48. Let f be d(-2). Let r be -6 + f/(-112)*16. Factor 2/7*b - 2/7*b**4 + 0 + 2/7*b**2 - r*b**3.
-2*b*(b - 1)*(b + 1)**2/7
Suppose -4*z + 3*v + 62 = -59, -3*v - 93 = -3*z. Suppose 0 = z*n - 77*n. Let 12/23*k**2 + 16/23*k**3 + 6/23*k**4 - 2/23 + n*k = 0. Calculate k.
-1, 1/3
Find j, given that -20*j - 17*j**3 + 810*j**2 - 5*j**4 - 238*j**3 - 2*j**4 - 1080 - 8*j**4 + 10*j**4 = 0.
-54, -1, 2
Let d(q) be the first derivative of -15 - 5/96*q**4 + 10*q**2 + 0*q**3 + 0*q + 1/48*q**5. Let j(f) be the second derivative of d(f). Factor j(v).
5*v*(v - 1)/4
Let h be -1 + -6 + 11 + (-6 - 4). Let z be 2 - h/(-2) - -3. Factor -1/2 + 7/4*g**z - 5/4*g.
(g - 1)*(7*g + 2)/4
Let z = 199971/11 - 18179. Factor 10/11*n - 12/11 - z*n**2.
-2*(n - 3)*(n - 2)/11
Suppose 0 = 15*m - 32 - 13. Let -7*z + 0*z**3 + 0*z + 8*z**2 - m*z**3 - 3 + 5 = 0. What is z?
2/3, 1
Suppose 10*l - 39 = 1. Suppose 0*u - 2*u + t = -8, -2*t - l = 0. Factor 1 - 10 - 9*g**u + 57*g**2 + 114*g + 57.
-3*(g - 8)*(g + 1)*(3*g + 2)
Suppose -68 = 8*w - 108. Let s(r) be the second derivative of -1/80*r**6 + 1/8*r**4 - 3/80*r**w + 0 + 0*r**2 + 1/2*r**3 - 6*r. Factor s(q).
-3*q*(q - 2)*(q + 2)**2/8
Let i(m) be the first derivative of 2*m**5/5 - 5*m**4 - 80*m**3/3 + 10*m**2 + 78*m + 1306. Suppose i(y) = 0. Calculate y.
-3, -1, 1, 13
Let f(s) = -7*s - 203. Let v be f(-29). Let h be (v/(-1))/(1 - 2). Factor -2/5*a - 12/5*a**2 + 48/5*a**4 + h - 32/5*a**5 - 2/5*a**3.
-2*a*(a - 1)**2*(4*a + 1)**2/5
Let g(w) be the third derivative of -13*w**5/60 - 2*w**4 - 12*w**3 - 164*w**2. Let h(u) = 9*u**2 + 32*u + 48. Let b(j) = -5*g(j) - 7*h(j). Factor b(f).
2*(f + 2)*(f + 6)
Let b(v) be the second derivative of -5/9*v**3 + 75*v + 0 + 12*v**2 - 1/18*v**4. Find w such that b(w) = 0.
-9, 4
Let y(w) be the third derivative of w**6/420 + 1591*w**5/210 + 211205*w**4/28 + 210675*w**3/7 - 2*w**2 - 582*w - 2. Factor y(s).
2*(s + 1)*(s + 795)**2/7
Let u be (-10)/(-30) + 1/(-3) - 0. Let w(b) be the second derivative of -1/6*b**4 + 7*b + u + 2/9*b**3 + 0*b**2 + 0*b**5 + 1/45*b**6. Factor w(h).
2*h*(h - 1)**2*(h + 2)/3
Let 1/2*k**4 + 1/2*k**5 + 0 + 0*k + 0*k**2 + 0*k**3 = 0. What is k?
-1, 0
Suppose 24*r = -2234 - 7726. Let p = 833/2 + r. Solve -p - 27*a - 243/2*a**2 = 0 for a.
-1/9
Let j(w) = -w**3 - 5*w**2 + 18*w + 28. Suppose 235*u = 233*u - 14. Let m be j(u). Factor 8/7*t + m + 4/7*t**2.
4*t*(t + 2)/7
Let i(l) be the first derivative of -l**5/20 - 7*l**4/16 - l**3/4 + 31*l**2/8 - 5*l - 28. Factor i(v).
-(v - 1)**2*(v + 4)*(v + 5)/4
Let w(t) be the first derivative of t**4/16 + 34*t**3/3 + 4339. Determine r, given that w(r) = 0.
-136, 0
Suppose -7*k + 16 = 2. Find n, given that 40*n**2 - 375*n - 7*n**3 + 625 + 35*n**k + 2*n**3 = 0.
5
Let r be (10/10)/(4/(-152)). Let z(h) = h**3 + 36*h**2 - 74*h + 80. Let m be z(r). Solve 0*b**m - 2/5*b**3 + 0*b**2 + 0 + 1/5*b**5 + 1/5*b = 0 for b.
-1, 0, 1
Determine v so that -243/2*v - 45 + 3/2*v**3 + 41*v**2 = 0.
-30, -1/3, 3
Let p(z) be the second derivative of -1/20*z**5 + 0*z**2 - 134*z + 0*z**3 - 1/18*z**4 - 1/90*z**6 + 0. What is j in p(j) = 0?
-2, -1, 0
Let l(k) be the first derivative of -1/7*k**3 + 29 - 39/14*k**2 + 0*k. Factor l(d).
-3*d*(d + 13)/7
Suppose 119*k - k**2 - 47*k**2 + 7*k**4 - 7*k - 60*k**3 - 11*k**4 = 0. What is k?
-14, -2, 0, 1
Let n(a) be the first derivative of 1018*a**3/7 + 521*a**2/7 + 8*a/7 - 13371. Factor n(x).
2*(3*x + 1)*(509*x + 4)/7
Let z(m) = 2*m**3 - 2940*m**2 + 1083388*m - 3223736. Let b(o) = 24*o**3 - 35281*o**2 + 13000663*o - 38684833. Let n(s) = 2*b(s) - 25*z(s). Factor n(r).
-2*(r - 733)**2*(r - 3)
Suppose -6384*f**2 + 11*f**4 + 9674*f + 312*f**3 - 15*f**4 - 7595*f + 9473*f = 0. What is f?
0, 2, 38
Suppose -52*w = -20*w - 11808. Let u = w - 366. Factor 0*g**2 + 8/9*g**u - 8/9*g - 4/9 + 4/9*g**4.
4*(g - 1)*(g + 1)**3/9
Let y(q) be the second derivative of -q**5/120 + q**4/16 - q**3/6 - 59*q**2 + 37*q. Let m(u) be the first derivative of y(u). Factor m(g).
-(g - 2)*(g - 1)/2
Let s(p) be the first derivative of 0*p + 0*p**3 - 2/11*p**4 - 8/55*p**5 + 0*p**2 - 1/33*p**6 + 74. What is h in s(h) = 0?
-2, 0
Let i be ((-2520)/(-63))/(6 - 0). Suppose 11/3*q - q**2 + i = 0. Calculate q.
-4/3, 5
Let 1869/2*g + 771/2*g**2 + 495 - 105/2*g**3 + 3/2*g**4 = 0. Calculate g.
-1, 15, 22
Factor -54*o**2 - 8021707 + 8021707 + 2*o**3 - 648*o.
2*o*(o - 36)*(o + 9)
Factor 95/4*v - 9/2*v**2 + 1/4*v**3 - 63/2.
(v - 9)*(v - 7)*(v - 2)/4
Let b(y) be the first derivative of 2*y**3/39 - 460*y**2/13 - 922*y/13 - 1442. Suppose b(x) = 0. What is x?
-1, 461
Let k = 125/88 + -23/264. Let b(z) be the first derivative of 1/2*z**4 - z**2 + 15 - 2/15*z**5 + k*z - 2/9*z**3. Suppose b(a) = 0. Calculate a.
-1, 1, 2
Let z(c) be the first derivative of c**5/20 + 25*c**4/6 + 625*c**3/6 - 40*c - 83. Let r(j) be the first derivative of z(j). Factor r(d).
d*(d + 25)**2
Let y(z) be the second derivative of z**5/180 - 5*z**4/9 + 200*z**3/9 - 28*z**2 + z - 14. Let l(k) be the first derivative of y(k). Factor l(h).
(h - 20)**2/3
Let x(h) = -3*h**2 - 31*h - 7. Let n be x(-10). Factor -6*w**n + 27 - 3*w**2 - 21*w**2 + 9*w**2 + 18*w.
-3*(w + 1)*(w + 3)*(2*w - 3)
Let d(x) be the first derivative of 7*x**6/2 + 6*x**5/5 - 147*x**4/4 - 56*x**3 - 18*x**2 - 5840. Let d(q) = 0. What is q?
-2, -1, -2/7, 0, 3
Let y(d) be the second derivative of -2*d**7/105 + 3*d**6/10 + 2*d**5/3 + 88*d**2 - 8*d - 5. Let l(p) be the first derivative of y(p). Factor l(r).
-4*r**2*(r - 10)*(r + 1)
Factor 5*r**4 - 268*r**3 + 283*r**3 - 18*r - 7*r**4 + 29*r**2.
-r*(r - 9)*(r + 2)*(2*r - 1)
Let x be (-65231 + -3 + 0)/(8 + -4901). Let v = x - -2/1631. What is l in v*l**2 + 0 + 16/3*l + 25/3*l**3 = 0?
-4/5, 0
Let y(i) be the first derivative of 4/15*i**5 + 2/3*i + 8/3*i**3 + 17/12*i**4 + 13/6*i**2 + 66. Let y(h) = 0. What is h?
-2, -1, -1/4
Suppose c + 4*i = 7*c - 84, i = 7 - 16. Find p, given that -8*p**3 - 24 + c*p + 2/3*p**4 + 70/3*p**2 = 0.
-1, 1, 6
Let b(l) be the first derivative of l**5/25 - l**4/4 + 1653. Suppose b(m) = 0. What is m?
0, 5
Suppose -8*h = -14*h - 2*l + 4, 3*h - 2*l = 23. Factor 0*s + 0 - 4/5*s**h + 12/5*s**2.
-4*s**2*(s - 3)/5
Let c = -6 + 11. Suppose 2*q = c + 409. Suppose -206*p**4 - 60 - 320*p - q*p**4 + 128*p**4 - 635*p**3 - 45*p**5 - 655*p**2 = 0. What is p?
-3, -1, -2/3
Factor -47 + 47 + 4*h**3 - 14*h + 18*h - 9*h**2 + h**2.
4*h*(h - 1)**2
Let l(h) be the first derivative of -h**6/12 + 3*h**5/2 - 29*h**4/4 + 14*h**3 - 10*h**2 + 1710. Suppose l(u) = 0. Calculate u.
0, 1, 2, 10
Let x be (-7)/4*(10 - (0 + -12)*-1). Find w, given that 4*w + 15/4 - 4*w**3 - x*w**2 - 1/4*w**4 = 0.
-15, -1, 1
Let o be -1*((-3)/4 + (-108)/48). Suppose 12312*q**2 + 4*q**4 - q**4 + 140209*q + 245*q**3 + 279936 + 0*q**4 + 23087*q + 85*q**o = 0. What is q?
-36, -2
Let c(d) be the third derivative of -d**5/12 + 660*d**4 - 2090880*d**3 - d**2 + 8*d + 109. Find r, given that c(r) = 0.
1584
Factor -720/7*i**2 - 2/7*i**4 + 0 - 52*i**3 + 0*i.
-2*i**2*(i + 2)*(i + 180)/7
Let t(o) = o**3 + 5*o**2 - 3*o - 10. Let p be t(-4). Find i such that -i**4 - 48*i - 388*i**2 + p*i**4 - 800*i**3 - 34*i**4 - 47*i**4 = 0.
-12, -1/4, 0
Let m(d) be the second derivative of -d**7/14 + 77*d**6/10 - 2391*d**5/10 + 2165*d**4/2 - 4181*d**3/2 + 4107*d**2/2 - 61*d + 10. Find r such that m(r) = 0.
1, 37
Sup