 v(z) = 0.
-9, -1, 0, 1, 3
Let n(m) = -63*m**2 + 245*m - 233. Let u(a) = 15*a**2 - 61*a + 58. Let w(i) = -4*n(i) - 17*u(i). Suppose w(d) = 0. Calculate d.
1, 18
Let s = -40666 + 528660/13. Factor 0*x + 0*x**2 + 0 - s*x**3.
-2*x**3/13
Let u(y) be the second derivative of y**4/102 - 13*y**3/51 + 42*y**2/17 + 2036*y. Solve u(o) = 0.
6, 7
Let p = -1559/90 + -79/10. Let x = -25 - p. Factor -16/3*q - 32 - x*q**2.
-2*(q + 12)**2/9
Let u(l) be the second derivative of 1/90*l**5 - 71*l - 1/27*l**3 + 1/27*l**4 - 2/9*l**2 + 0. Suppose u(s) = 0. What is s?
-2, -1, 1
Factor -572 - 482*f + f**3 - 564*f**2 + 3*f**3 + 222*f - 809*f - 71*f.
4*(f - 143)*(f + 1)**2
Let p(g) be the first derivative of g**6/21 - 16*g**5/7 - 9*g**4 - 256*g**3/21 - 43*g**2/7 - 2640. Factor p(y).
2*y*(y - 43)*(y + 1)**3/7
Let b(r) be the second derivative of 0*r**5 + 0*r**3 - 1/72*r**4 + r**2 - 13*r + 1/360*r**6 + 0. Let q(c) be the first derivative of b(c). Factor q(x).
x*(x - 1)*(x + 1)/3
Let h(m) be the second derivative of m**7/14 - 3*m**6/10 + 3*m**5/10 + 995*m. Find t, given that h(t) = 0.
0, 1, 2
Suppose 2*m = 3*t + 13, -5*m + 4*t = -24 + 2. Factor 0*s**2 - 1528*s - s**4 - s**m + 1552*s - 16 - 6*s**3.
-(s - 1)**2*(s + 4)**2
Let v(s) be the second derivative of -361*s**6/30 - 2508*s**5/5 + 177*s**4 - 56*s**3/3 - 254*s - 2. Factor v(a).
-a*(a + 28)*(19*a - 2)**2
Let x(k) be the second derivative of -11*k**6/2 + 67*k**5/2 - 535*k**4/12 + 5*k**3 + 17*k - 93. Let x(g) = 0. Calculate g.
0, 2/33, 1, 3
Let d(c) be the second derivative of c**4/4 + 2334*c**3 + 8171334*c**2 + 1565*c + 1. Factor d(q).
3*(q + 2334)**2
Let s(a) be the first derivative of 3/20*a**4 + a**3 + 17/200*a**5 + 1/120*a**6 + 0*a**2 + 3 + 0*a. Let r(i) be the third derivative of s(i). Solve r(g) = 0.
-3, -2/5
Let m(x) be the first derivative of -x**6/6 + 34*x**5/15 - 27*x**4/4 + 2*x**3/9 + 8*x**2 + 1295. Determine r so that m(r) = 0.
-2/3, 0, 1, 3, 8
Let c(y) be the third derivative of -y**8/112 + 3*y**7/70 + 11*y**6/20 - 13*y**5/5 - 9*y**4 + 80*y**3 + 33*y**2 + 5*y. Let c(f) = 0. Calculate f.
-4, -2, 2, 5
Suppose 72*n - 8816 = -8672. Factor -1/6*c - 1/3*c**n + 1/3*c**4 + 0 + 1/6*c**5 + 0*c**3.
c*(c - 1)*(c + 1)**3/6
Let q be (-56)/(-22) + (-1960)/3190 + (-6)/(-87). Let -2/5*c**3 + 2/15*c**4 + 2/5*c**q - 2/15*c + 0 = 0. Calculate c.
0, 1
Let w = -1373352 + 1373360. Suppose -16 + 70/3*b + 2/3*b**3 - w*b**2 = 0. Calculate b.
1, 3, 8
Let m(w) be the first derivative of w**3/2 - 903*w**2/4 - 8299. Determine q, given that m(q) = 0.
0, 301
Let w(r) be the third derivative of -11*r**7/735 - 68*r**6/105 - 73*r**5/30 - 125*r**4/42 - 2*r**2 - 1063. Solve w(x) = 0.
-250/11, -1, 0
Factor 1/4*i**3 + 37828*i - 115248 + 781/4*i**2.
(i - 3)*(i + 392)**2/4
Determine s so that 179/5 + 177/5*s**2 + 357/5*s - 1/5*s**3 = 0.
-1, 179
Let g = -7573/99 + 695/9. Let t be 154/33*(14/11 - 1). Solve g*r**2 - 6/11*r**5 + t*r**3 + 0 - 8/11*r**4 - 8/11*r = 0 for r.
-2, -1, 0, 2/3, 1
Suppose 565*a - 582*a + 17 = 0. Factor 169*b**2 - b**4 - 14*b**3 - 216*b**2 - 1 - 14*b + a + 4*b**4.
b*(b - 7)*(b + 2)*(3*b + 1)
Let d(k) = -7*k**2 + 254*k + 189. Let r be d(37). Let v(q) be the first derivative of 12/5*q**2 + 21/10*q**r + 0*q + 9/25*q**5 + 4*q**3 + 13. Factor v(a).
3*a*(a + 2)**2*(3*a + 2)/5
Let t(d) be the third derivative of -3/5*d**5 + 0 - 104/15*d**3 + 41/15*d**4 + 0*d + 19/300*d**6 + 50*d**2 - 1/525*d**7. Factor t(i).
-2*(i - 13)*(i - 2)**3/5
Let a(r) be the first derivative of 4*r**3/21 - 134*r**2/7 + 264*r/7 + 1015. Factor a(t).
4*(t - 66)*(t - 1)/7
Factor -289/3*n + 574/3 + 1/3*n**2.
(n - 287)*(n - 2)/3
Let g(v) be the second derivative of -10*v**7/21 - 24*v**6/5 - 87*v**5/5 - 76*v**4/3 - 8*v**3 + v - 1739. Solve g(b) = 0.
-3, -2, -1/5, 0
Let y = -6461 - -6470. Let f(r) be the first derivative of -r**3 - y*r + 15/2*r**2 - 3/4*r**4 + 23. What is l in f(l) = 0?
-3, 1
Let s(g) be the first derivative of -5*g**7/84 - g**6/18 - g**5/60 + 40*g**3/3 - 22. Let x(u) be the third derivative of s(u). Suppose x(f) = 0. What is f?
-1/5, 0
Let 3141/4*m + 6861/4*m**2 + 135/2 - 7605/4*m**3 - 54*m**5 + 2301/4*m**4 = 0. What is m?
-2/9, -1/8, 3, 5
Let p be 10/36*8 + (-8)/36. Let q(m) = -12*m**p + 6*m**3 + 13*m + 12 - 13*m - 5*m**4 + 3*m**4. Let g(b) = -b**2 + 1. Let r(l) = -12*g(l) + q(l). Factor r(c).
-2*c**3*(c - 3)
Suppose -2*z - 2*d = -10, -4*z + 4*d = -z - 8. Let -13*u**3 - z*u**2 + 8*u - 9*u**3 + 14*u**3 + 4*u**4 = 0. Calculate u.
-1, 0, 1, 2
Let u be (2/(-2) - (-2)/4)*(-2346)/8211. Factor -10/7*a**2 - u*a**3 - 24/7*a + 0.
-a*(a + 4)*(a + 6)/7
Let q = 481 - 210. Solve -q*i**5 - 4*i**2 + 12*i**3 + 270*i**5 - 2*i**4 - 5*i**3 = 0.
-4, 0, 1
Let d(m) = -4*m**3 - 34*m**2 + 98*m + 294. Let f(n) = 20*n**3 + 172*n**2 - 488*n - 1472. Let b(u) = 16*d(u) + 3*f(u). Factor b(y).
-4*(y - 4)*(y + 2)*(y + 9)
Factor c - 3*c**2 + 39*c + 152*c + 40*c + 4*c**2.
c*(c + 232)
Let b(p) be the second derivative of 35*p**4/24 - p**3/12 - 3*p**2/2 + 447*p. Solve b(r) = 0 for r.
-2/5, 3/7
Let x = -3911 + 3913. Let y(w) be the third derivative of -4/525*w**7 + w**x - 1/75*w**5 + 0*w - 1/60*w**6 + 0 + 0*w**3 - 1/840*w**8 + 0*w**4. Factor y(i).
-2*i**2*(i + 1)**2*(i + 2)/5
Let k(g) = 36*g**2 - 564*g + 936. Let i(p) = 7*p**2 - 113*p + 189. Let y(n) = 16*i(n) - 3*k(n). Factor y(x).
4*(x - 27)*(x - 2)
Let m(r) be the first derivative of 10*r**3/33 - 1233*r**2/11 - 988*r/11 - 2437. Factor m(y).
2*(y - 247)*(5*y + 2)/11
Let u(y) be the first derivative of -3*y**4/10 + 28*y**3/15 - 4*y**2 + 16*y/5 - 928. Solve u(p) = 0 for p.
2/3, 2
Suppose -3*f = -11*f + 16. Solve -509 - 149 - 4*h**f - 223 + 104*h + 205 = 0.
13
Suppose -9*x - 8 = -13*x. Suppose 0*c - x*c - 8 = 4*m, -5*m - 7 = 4*c. Factor -5*t**c + 15*t + 2*t**2 + 1407 - 1419.
-3*(t - 4)*(t - 1)
Suppose 0 = -5*h + 2*y - y - 15, -5*h - 4*y + 10 = 0. Let d be 4/(-8)*(-2 + h). Factor 0*a**2 + 4*a**2 + 7*a**2 + 17*a**d - 8*a.
4*a*(7*a - 2)
Let q(u) be the third derivative of u**7/2100 + u**6/150 + 19*u**5/600 + u**4/20 + 84*u**2 + 4*u. Solve q(g) = 0.
-4, -3, -1, 0
Let v(i) = 57*i - 567. Let n be v(10). Suppose 6*p - p = n*p. Let -2/9*y**2 - 1/9*y**5 + 0*y**3 + 1/9*y + p + 2/9*y**4 = 0. Calculate y.
-1, 0, 1
Solve 56*c**2 + 3993*c - 4096*c - 152*c**2 + 582 + c**3 = 0.
-3, 2, 97
Suppose 2*f - 8 = -5*g, 60*f - 16 = 2*g + 56*f. Suppose 0*m + 3*m**2 + g + 1/2*m**3 = 0. What is m?
-6, 0
Let l = -220243/4 - -55062. Suppose 0 - 1/2*j + 7/4*j**5 - l*j**3 - 9/4*j**2 + 9/4*j**4 = 0. What is j?
-1, -2/7, 0, 1
Factor 53*v**2 - 58*v**2 + 1210*v - 615*v.
-5*v*(v - 119)
Let m(s) be the second derivative of -1/105*s**6 + 1/42*s**4 + 0 + 119*s + 0*s**2 - 1/35*s**5 + 2/21*s**3. Solve m(o) = 0.
-2, -1, 0, 1
Let p(c) be the second derivative of -2*c**6/35 - 11*c**5/70 + c**4/42 + 11*c**3/21 + 5*c**2/7 + 7*c + 44. Let p(t) = 0. What is t?
-1, -5/6, 1
Let u(d) be the second derivative of -2/45*d**3 + 0*d**2 - 1/90*d**4 + 2*d - 20. Factor u(s).
-2*s*(s + 2)/15
Let i be (-116)/(-16) + 1/(-4) - 2. Let t(v) be the first derivative of -39 - i*v**2 + 0*v + 1/3*v**3. Factor t(q).
q*(q - 10)
Let c(h) be the first derivative of -h**6/90 - 3*h**5/20 + 5*h**4/18 - 70*h - 59. Let s(i) be the first derivative of c(i). Suppose s(t) = 0. What is t?
-10, 0, 1
Let a(b) be the first derivative of b**6/15 + 36*b**5/25 + 37*b**4/10 - 264*b**3/5 + 484*b**2/5 - 9235. Solve a(h) = 0 for h.
-11, 0, 2
Let c(n) be the first derivative of 1/60*n**5 + 19*n**2 + 0*n + 1/8*n**4 - 2/3*n**3 - 15. Let b(h) be the second derivative of c(h). Find a such that b(a) = 0.
-4, 1
Let r(p) = p**2 - 2*p - 18 + 9*p + 6*p**2. Let i(a) = -a**2 + 1. Let j(d) = -24*i(d) - 3*r(d). Determine h, given that j(h) = 0.
2, 5
Let t(q) be the third derivative of q**8/3864 + 8*q**7/2415 + 3*q**6/230 + 2*q**5/345 - 19*q**4/276 - 4*q**3/23 - 10*q**2 - 44*q. Find j, given that t(j) = 0.
-4, -3, -1, 1
Let r(x) be the third derivative of x**8/756 - 29*x**7/315 - 47*x**6/540 + 131*x**5/270 + 5*x**4/12 - 44*x**3/27 - 78*x**2 + 2. Let r(v) = 0. Calculate v.
-1, 1/2, 1, 44
Let t(v) = 24 + 6*v + 1 - 20 + 17. Let r be t(-3). Let 3*x**4 - 4*x**5 - r*x - 16*x**2 - 19*x**4 - 639*x**3 + 615*x**3 = 0. What is x?
-1, 0
Let 2454 - 1058*c - 2381 + 156*c**2 - 5365 - 202*c - 4*c**3 = 0. Calculate c.
-3, 21
Suppose 148/3 + 24*i**2 - 2/9*i**3