 c, given that f(c) = 0.
-2, 0
Let c(s) = -1 + 55*s - 32*s - 26*s - 5. Let f be c(-4). Factor -f*x + x**2 + 6*x + 3*x**2 - 20*x - 24.
4*(x - 6)*(x + 1)
Let s(w) be the second derivative of 0*w**2 + 11 + w - 12/11*w**3 - 1/66*w**4. Factor s(b).
-2*b*(b + 36)/11
Let w be -6*(112/(-3))/7. Factor -26374 - 40*i - 2*i**3 + 2*i**4 - w*i**2 + 26374.
2*i*(i - 5)*(i + 2)**2
Let q(o) be the second derivative of 0 - o**5 + 5/42*o**7 + 1/6*o**6 + 0*o**2 - 5/3*o**4 + 16*o + 0*o**3. Factor q(s).
5*s**2*(s - 2)*(s + 1)*(s + 2)
Suppose -21*g + 129 = 22*g. Factor -288*y + 639 + 266 + 559 + 264 - 4*y**g - 84*y**2.
-4*(y - 3)*(y + 12)**2
Let i(w) = -82*w**4 + 0 + w + w**3 + 83*w**4 - 1. Let o(j) = 2*j**4 - 3*j**2 + 2*j + 1. Let p be 3*(2 - (-14)/(-6)). Let q(x) = p*i(x) + o(x). Factor q(b).
(b - 2)*(b - 1)*(b + 1)**2
Suppose 0 = 561*o - 556*o - 235. Factor -84*f + 68 - 60 - 3*f**2 - o - 42 + 0*f**2.
-3*(f + 1)*(f + 27)
Let n(t) = 3*t**2 - 3*t - 3. Let h(p) = -23*p**2 - 22792*p - 26014787. Let f(v) = -h(v) - 6*n(v). Factor f(x).
5*(x + 2281)**2
Let b(a) be the second derivative of 33*a + 0 + 3/40*a**5 + 14*a**2 + 0*a**3 + 0*a**4 - 1/80*a**6. Let t(y) be the first derivative of b(y). Factor t(s).
-3*s**2*(s - 3)/2
Let x(g) be the third derivative of g**5/240 + 491*g**4/48 + 241081*g**3/24 - 4278*g**2. Solve x(m) = 0 for m.
-491
Factor 15*q**3 + 63907*q**2 + 4*q**4 + 57*q - 5*q**4 - 63834*q**2.
-q*(q - 19)*(q + 1)*(q + 3)
Let p(f) be the first derivative of f**4/8 + 15*f**3/4 + 41*f - 63. Let i(w) be the first derivative of p(w). Factor i(r).
3*r*(r + 15)/2
Let u(j) = 9*j + 95. Let g be u(0). Solve -14 + g*y + 6*y**2 - 23*y**2 - 115*y**3 - 6 + 55*y**4 + 20*y**5 - 18*y**2 = 0 for y.
-4, -1, 1/4, 1
Let w(d) be the first derivative of -675*d - 87 - 3/5*d**5 - 166*d**3 - 630*d**2 + 21*d**4. Determine s, given that w(s) = 0.
-1, 15
Let r be (-8)/(2 + -1) + (2150/430)/(3/6). Solve 0 + 1/8*y**3 - 2*y**r + 15/8*y = 0.
0, 1, 15
Let j(x) = -5*x**3 + 13*x**2 - 37*x - 41. Let c(z) = 3*z**3 - 6*z**2 + 23*z + 20. Let i(d) = -7*c(d) - 4*j(d). Suppose i(u) = 0. Calculate u.
-8, -3, 1
Suppose -3*l - s = -1, 10*l - s = 5*l + 15. Find a such that -a**3 + 2*a - a - 11 + 25*a**2 - 14*a**l = 0.
-1, 1, 11
Let n be (-14 - -21) + -2 + (1 - 1). Determine t, given that -10*t**3 + 34*t**4 - 9*t**2 - 11*t**2 - 56*t**4 - 31*t**3 - t**n = 0.
-20, -1, 0
Let z be (-4 + 10)*((-4)/(-12))/1. Factor -z*t**4 + 7*t - 8*t**3 + t - 4*t - 6*t**2 + 2 + 10*t**4.
2*(t - 1)**2*(2*t + 1)**2
Determine p so that 706/3*p - 2/3*p**3 + 44/3*p**2 + 220 = 0.
-10, -1, 33
Factor 4/9*c**3 + 1394008/3*c + 2726/3*c**2 + 2088968/9.
2*(c + 1022)**2*(2*c + 1)/9
Let y(p) be the first derivative of p**6/3 - 94*p**5 + 11045*p**4 - 2076460*p**3/3 + 24398405*p**2 - 458690014*p + 1920. Factor y(d).
2*(d - 47)**5
Let m(u) be the third derivative of -74*u**2 + 0*u + 0 - 2/39*u**4 + 1/390*u**5 - 3/13*u**3. Solve m(b) = 0 for b.
-1, 9
Suppose 0 = -3*w - 12 - 15. Let f be 2/w - 2/(-9). Factor -6 + 6*t**2 - 2*t + f*t + 7*t + 4*t.
3*(t + 2)*(2*t - 1)
Let o(i) be the second derivative of i**4/54 + 161*i**3/27 - 334*i**2/3 + 572*i. Find t, given that o(t) = 0.
-167, 6
Let x(o) = -10*o - 145. Let r be x(-13). Let u(f) = f**3 + 17*f**2 + 29*f + 5. Let k be u(r). Determine p so that 10*p + k + 5/4*p**2 = 0.
-4
Let f(i) be the second derivative of i**6/10 - 17*i**5/30 + 3*i**4/4 + 2*i**3/3 + 30*i**2 + 2*i. Let x(a) be the first derivative of f(a). Factor x(c).
2*(c - 2)*(c - 1)*(6*c + 1)
Let w(v) = 13*v**2 - 60*v - 73. Let o(h) = -11*h**2 + 62*h + 73. Let r(t) = -6*o(t) - 5*w(t). Factor r(u).
(u - 73)*(u + 1)
Let m(r) be the first derivative of 0*r**2 + 13 + 1/20*r**5 - 1/12*r**4 + r - 1/3*r**3. Let a(y) be the first derivative of m(y). Factor a(z).
z*(z - 2)*(z + 1)
Let -76*m**2 + 5/2*m**4 - 45/2 - 129*m + 33*m**3 = 0. What is m?
-15, -1, -1/5, 3
Suppose 82336 + 30310 + 4*o**2 + 98307 - 2*o**2 + 1116*o - 55271 = 0. What is o?
-279
Factor 60/7 + 27/7*n + 3/7*n**2.
3*(n + 4)*(n + 5)/7
Let w be 40/28*(-28)/(-20). Let c be (288/(-39))/4 + 2. Factor -6/13*o**3 - c*o + 0 + 6/13*o**w + 2/13*o**4.
2*o*(o - 1)**3/13
Let b(a) be the first derivative of 2*a**5/5 + 338*a**4 - 1354*a**3/3 + 4675. Find g such that b(g) = 0.
-677, 0, 1
Suppose 3417 = -248*p + 4409. Let 6/7*b**5 + 0*b + 78/7*b**p + 0 - 174/7*b**3 + 90/7*b**2 = 0. What is b?
-15, 0, 1
Let q(g) be the first derivative of g**5/10 - 15*g**4/2 + 257*g**3/2 + 976*g**2 + 1536*g - 1242. Suppose q(a) = 0. What is a?
-3, -1, 32
Factor -5*d**2 + 8*d**2 - 236*d - 6*d**2 - 11*d**2 + 13*d**2.
-d*(d + 236)
Let s = -14 - -14. Let d = -38681/6 - -6447. Factor 2/3 - 1/2*j**2 + d*j**3 + s*j.
(j - 2)**2*(j + 1)/6
Let o(h) = -6*h**3 + 234*h**2 - 904*h + 916. Let t(l) = -4*l**3 + 231*l**2 - 906*l + 917. Let j(b) = -3*o(b) + 4*t(b). Determine a, given that j(a) = 0.
-115, 2
Let v(t) be the first derivative of -t**5/5 - 223*t**4/4 - 442*t**3/3 - 524. Factor v(q).
-q**2*(q + 2)*(q + 221)
What is o in 452/7*o - 2/7*o**2 + 454/7 = 0?
-1, 227
Let h(n) be the first derivative of -100*n**6/3 - 79*n**5 + 105*n**4/2 + 395*n**3/3 - 5*n**2 - 269. Suppose h(t) = 0. What is t?
-2, -1, 0, 1/40, 1
Let f(w) be the first derivative of -484*w**4 - 352*w**3 + 390*w**2 - 100*w - 135. Solve f(g) = 0 for g.
-1, 5/22
Let d = -20255 + 60766/3. Let k(b) be the second derivative of 17/18*b**3 + 0 - 17*b + d*b**2 - 19/36*b**4. Find v such that k(v) = 0.
-2/19, 1
Let v(h) be the first derivative of 0*h + 0*h**2 - 2/3*h**3 + 2/25*h**5 + 2/5*h**4 + 251. Factor v(k).
2*k**2*(k - 1)*(k + 5)/5
Let l(v) be the second derivative of 361/7*v**2 - 37/42*v**4 - 323/21*v**3 + 69*v - 1/70*v**5 - 2. Factor l(b).
-2*(b - 1)*(b + 19)**2/7
Suppose -4*r + 14 = 5*c, 3*c - 27*r - 10 = -31*r. Let h(i) be the first derivative of -8*i + 0*i**c + 2/3*i**3 - 9. Suppose h(v) = 0. Calculate v.
-2, 2
Suppose 99 = 103*f - 100*f. Suppose -31*u - 8 = -f*u. Determine d, given that -d**3 + 5*d**5 + d**2 - d**4 - u*d**5 + 0*d**5 + 0*d**2 = 0.
-1, 0, 1
Let y(d) = 5*d**2 - 218*d + 2651. Let w = 145 - 80. Let g(k) = -55*k**2 + 2400*k - 29160. Let m(i) = w*y(i) + 6*g(i). What is p in m(p) = 0?
23
Let h(t) = -5*t**2 + 16*t + 2. Let y be h(3). Suppose -454*p - 60 = -474*p. Suppose 3/5*v**3 + p*v**4 + 0 - 3*v**2 - 9/5*v**y + 6/5*v = 0. What is v?
-1, 0, 2/3, 1
Factor -2/7*c**3 - 304/7 - 12*c**2 - 312/7*c.
-2*(c + 2)**2*(c + 38)/7
Let c be (-160)/(-96)*(1 + 2). Find j such that -3*j**4 - c*j**5 - 2*j**5 + 6*j**5 + 2*j - 7*j**2 - j**3 + 10*j**2 = 0.
-2, -1, 0, 1
Let i(g) be the first derivative of g**5 + 0*g + 25*g**4 + 0*g**2 + 95/3*g**3 + 37. Solve i(h) = 0 for h.
-19, -1, 0
Let j be (-1108056)/734910 - ((-111)/(-15) + -8). Let c = 3/2227 - j. Solve -4/11*z**2 + 0*z - c*z**3 - 2/11*z**5 + 0 - 8/11*z**4 = 0 for z.
-2, -1, 0
Factor 708/5 - 711/5*p + 3/5*p**2.
3*(p - 236)*(p - 1)/5
Let c(h) = 11*h**2 + 389*h + 716. Let t(i) = i**2 + 3*i. Let m(z) = -2*c(z) + 18*t(z). Factor m(n).
-4*(n + 2)*(n + 179)
Suppose 0 - 62/13*c**3 - 60/13*c**4 + 0*c + 0*c**2 + 2/13*c**5 = 0. What is c?
-1, 0, 31
Let q(h) be the second derivative of 5/6*h**6 - 5*h**3 - 25/12*h**4 + 0*h**2 + 0 + 213*h + 7/4*h**5 - 5/42*h**7. Find w, given that q(w) = 0.
-1, 0, 1, 6
Let t(q) be the third derivative of -q**6/120 + 251*q**5/18 - 131461*q**4/18 + 174724*q**3/9 - 475*q**2 + 1. Find b such that t(b) = 0.
2/3, 418
Suppose f = -3, 3*f - 6 = -5*t - 0. Let u(o) = -2*o**2 - 32*o + 253. Let v(a) = 5*a**2 + 96*a - 760. Let n(r) = t*v(r) + 8*u(r). Solve n(w) = 0.
16
Suppose -2*i = -4*w + 44288, 4*w + 5*i - 45361 = -1045. Factor -2444*g**3 - 20913*g**2 - 9439*g**2 + 129605*g + 5*g**5 - 355*g**4 - 46698*g**2 + w*g**3 - 60835.
5*(g - 23)**3*(g - 1)**2
Let y = 209 + -203. Suppose -9*p - 6 = -7*p - 5*o, -4*p + 5*o = 2. Let -2*b**2 - 2/3*b**4 - p*b**5 + y*b**3 - 4/3*b + 0 = 0. Calculate b.
-2, -1/3, 0, 1
Let a = 100 + 320. Find o, given that 29*o**3 + a*o**2 + 3*o**4 + 0*o**4 + 29*o**3 + 20*o**3 - 1176*o = 0.
-14, 0, 2
Factor 4/11*d**2 - 314/11*d**3 + 0*d - 158/11*d**4 + 0.
-2*d**2*(d + 2)*(79*d - 1)/11
Let d(f) = f**3 - 270*f**2 + 4772*f - 55. Let b be d(19). Factor -5/3*j**3 + 0 + 3*j + 1/6*j**4 + 7/6*j**b.
j*(j - 9)*(j - 2)*(j + 1)/6
Suppose 71780*s - 71633*s - 317 = -23. Factor 2/3*i**s + 8/3*i + 2.
2*(i + 1)*(i + 3)/3
Let 