221*z**4/18 + 140*z**3/3 + 72*z**2 + 11*z - 2. Factor k(v).
-4*(v - 21)*(v + 1)*(v + 10)/3
Suppose -2*d + 0*d = -8. Let f(j) = 1 - 2*j**2 + 19*j**2 - 6*j - j**2 - 2*j**2 - 18*j**2. Let b(n) = 5*n**2 + 7*n - 2. Let u(a) = d*f(a) + 3*b(a). Factor u(h).
-(h + 1)*(h + 2)
Suppose -3*p - 91 + 133 = 3*k, -82 = -11*p - 5*k. Let c(o) = -o**3 + o**2 + o + 2. Let s be c(0). Determine n, given that 4/3*n - s*n**p + 0 + 2/3*n**3 = 0.
0, 1, 2
Let p(y) be the third derivative of -y**6/24 - 97*y**5/12 - 1925*y**4/3 - 80360*y**3/3 + y**2 - y - 1. Factor p(v).
-5*(v + 28)**2*(v + 41)
Let p = 19207 + -19205. Let h(o) be the first derivative of -4*o**3 - 20 - 3/2*o**4 + 2/15*o**5 - 25/6*o**p + 1/6*o**6 - 2*o. Determine b, given that h(b) = 0.
-1, -2/3, 3
Let z = -330 - -332. Let 49*y**2 - 221*y**z - 17*y**3 + 14*y**3 + 7*y**3 + 1932*y - 1764 = 0. What is y?
1, 21
Suppose -5*l = -a - 9, -l + 3*l - 5*a + 1 = 0. Suppose l*q = 2*u, 2*q - 3*u = -0*u - 3. Determine n, given that -6*n + q*n**2 - 9 + 2*n**2 - n**2 - 5*n**2 = 0.
-3
Suppose 5*m - 16 = -6. Let h = -601 - -5411/9. Determine q so that h*q**m - 8/3*q + 8 = 0.
6
Factor -1/7*m**2 + 36/7 - 5/7*m.
-(m - 4)*(m + 9)/7
Let r(j) be the third derivative of 97*j**4/24 - 48*j**3 + 209*j**2. Let s be r(3). Factor -2*t**2 + 1/4*t**5 - 1/2 - 1/2*t**s - 7/4*t + 1/2*t**4.
(t - 2)*(t + 1)**4/4
Let s(i) = 3*i**2 - 6*i + 5. Let a be 2/(-3)*(1 - 4). Let x(d) = 0*d - 6*d + 4 + 3*d**2 - a + 4. Let u(y) = -3*s(y) + 2*x(y). Factor u(k).
-3*(k - 1)**2
Let d be -1*(88/484 - (-744)/(-220)). What is t in 28/5*t - 4/5*t**3 + d + 8/5*t**2 = 0?
-1, 4
Let g = -215/74 - 49689/370. Let u = g + 138. Let u*c**2 - 2/5 + 0*c**3 - 2/5*c**4 + 0*c = 0. Calculate c.
-1, 1
Solve -54/5*o**3 + 3/5*o**4 + 0 + 120*o + 36*o**2 = 0.
-2, 0, 10
Let s(k) be the third derivative of k**7/42 - k**6/24 - k**5/2 - 6583*k**2. Factor s(t).
5*t**2*(t - 3)*(t + 2)
Let l(s) be the third derivative of -s**8/84 + 4*s**7/105 + 5*s**6/6 - 2*s**5/15 - 4*s**4 - 1647*s**2. Determine m, given that l(m) = 0.
-4, -1, 0, 1, 6
Let v = 12580466/297177 + 9/99059. Find u, given that -u**3 - v*u - 50/3 - 80/3*u**2 = 0.
-25, -1, -2/3
Let q(w) be the first derivative of 36*w**2 + 5/2*w**4 - 2/5*w**5 + 64/3*w**3 + 0*w - 33. Find c such that q(c) = 0.
-2, 0, 9
Factor 35 + 4*g**3 + 144 + 598*g**2 + 340*g - 249*g**2 - 11 - 173*g**2.
4*(g + 1)**2*(g + 42)
Let q(m) = -2*m**2 + 2*m. Let z(h) = 24*h**2 + 136*h - 40. Suppose 2*k - 7*c + 2*c - 7 = 0, 0 = -3*k - 5*c - 2. Let u(i) = k*z(i) - 2*q(i). Factor u(t).
4*(t + 5)*(7*t - 2)
Let c = -22349/14 - -3207/2. Factor 0 + c*a**2 + 2/7*a**5 + 16/7*a + 22/7*a**4 + 54/7*a**3.
2*a*(a + 1)**3*(a + 8)/7
Let m be (-40)/15*(3/10)/((-66)/55). Let j(v) be the second derivative of 1/12*v**4 + 34*v + m*v**2 + 0 - 13/18*v**3. What is p in j(p) = 0?
1/3, 4
Let z(y) be the second derivative of -57*y**3 + 168*y + 0 - 3/2*y**2 - 3249/4*y**4. Factor z(c).
-3*(57*c + 1)**2
Let o(h) be the second derivative of -h**5/35 + 73*h**4/21 - 680*h**3/21 - 2597*h. Factor o(c).
-4*c*(c - 68)*(c - 5)/7
Let p(d) be the first derivative of 12*d + 4*d**2 - 20/3*d**3 + 93. Factor p(t).
-4*(t - 1)*(5*t + 3)
Let j(a) be the third derivative of a**6/24 + 11*a**5/12 + 85*a**4/12 + 20*a**3 - 713*a**2. Factor j(w).
5*(w + 1)*(w + 4)*(w + 6)
Suppose -n = -2*d - 9 - 72, 4*d + 332 = 4*n. Solve -17 + n*w**2 - 169*w + 195 + 14*w - 5*w**3 - 103 = 0.
1, 15
Let d(l) = l**3 - l - 1. Let o(t) = 2*t**4 + 12*t**3 + 6*t**2 - 4*t - 6. Let p be (1/2)/(17/(-204)). Let c(k) = p*d(k) + o(k). Find r, given that c(r) = 0.
-1, 0
Let q be (1 - 6 - (1 + -7))*1. Let 5*m**2 - 3 - 1 + q - 3 - 3*m - 2*m**2 = 0. Calculate m.
-1, 2
Let a(j) = -j**3 - 4*j**2 + 4*j + 5. Let l be a(-2). Let o be -9 - l - 1*-1. What is f in 0*f + 0 + 2/17*f**2 + 2/17*f**4 + 4/17*f**o = 0?
-1, 0
Let d = -2401 + 24017/10. Let j(p) be the second derivative of -1/2*p**2 - 5/42*p**7 + 3*p - 13/6*p**4 - 17/10*p**5 + 0 - d*p**6 - 3/2*p**3. Factor j(x).
-(x + 1)**4*(5*x + 1)
Let p = 226691/3 + -75563. Factor -4*h - p*h**2 - 10/3.
-2*(h + 1)*(h + 5)/3
Let n(v) = 2*v**3 + 9*v**2 + 1. Let m(k) be the first derivative of -k**4/2 - 7*k**3/3 - k + 65. Let r(q) = 6*m(q) + 5*n(q). Let r(c) = 0. What is c?
-1/2, 1
Suppose 3*i + 4 = a, -26*i + 4 = -14*i - 2*a. Let 10/19 + 12/19*t + 2/19*t**i = 0. What is t?
-5, -1
Let z(w) be the second derivative of w**10/20160 - w**9/3360 + w**7/420 + w**4/6 + 13*w**3/6 + 179*w. Let g(l) be the third derivative of z(l). Factor g(m).
3*m**2*(m - 2)**2*(m + 1)/2
Suppose -6772*k - 12 = -6778*k. Let q(v) be the third derivative of 8/3*v**4 - 13*v**k + 0 + 1/15*v**5 + 128/3*v**3 + 0*v. Factor q(c).
4*(c + 8)**2
Factor -3177/8*s + 3801/8*s**2 - 147/8*s**3 + 675/8.
-3*(s - 25)*(7*s - 3)**2/8
Let l(s) be the third derivative of s**2 - 1/10*s**4 - 62/525*s**7 - 7/50*s**6 + 0 + 1/35*s**8 + 19*s + 0*s**3 + 19/75*s**5. Find w, given that l(w) = 0.
-1, 0, 1/4, 1/3, 3
Let c(y) be the second derivative of -y**6/90 + 7*y**5/12 + 31*y**4/18 - 1360*y**3/3 + 1344*y**2 - 527*y + 3. Determine w so that c(w) = 0.
-14, 1, 24
Let c = 60178 + -60176. Factor 1/2*t**c + 3/2 + 5/2*t - 1/2*t**3.
-(t - 3)*(t + 1)**2/2
Let m(k) = -k**2 - 51*k + 109. Let z be m(2). Suppose -14*b - z*b = -28*b. What is q in -3/5*q**5 + 0 + 0*q**3 + b*q + 0*q**2 - 3/5*q**4 = 0?
-1, 0
Let u(z) be the first derivative of z**4/6 - 7*z**3/3 - 18*z**2 + 57*z + 107. Let q(t) be the first derivative of u(t). Factor q(n).
2*(n - 9)*(n + 2)
Let j = -188758/11 + 17365. Let t = j - 205. Factor -t*h**2 + 0*h + 0.
-2*h**2/11
Suppose p + 54 = 4*p. Let t be -2 + -3 + (p/(-1))/(-2). Suppose -t*y + 6*y**2 + 14*y - y**2 = 0. Calculate y.
-2, 0
Suppose 10*z - 5*z = 75. Suppose -9*b + 419 - 329 = 0. Suppose 46*a**2 - 46*a**2 - 6*a**3 + 11*a**5 + b*a**5 + z*a**4 = 0. What is a?
-1, 0, 2/7
Let b be 8 - 1/((-4)/8). Suppose b*s = 18*s. Factor -5 - 4*h**2 + 20*h - 8*h**3 + s - 12 + 9.
-4*(h - 1)*(h + 2)*(2*h - 1)
Let v(d) be the third derivative of d**7/1995 + 187*d**6/1140 + 4324*d**5/285 - 2209*d**4/57 + 9*d**2. Factor v(h).
2*h*(h - 1)*(h + 94)**2/19
Let u(v) = 3*v - 20. Let c be 4/(-18) - (-332)/36. Let x be u(c). Determine z, given that x*z**4 - 6*z**4 + 2*z**2 + 2*z**3 - 3*z**3 - 2*z**4 = 0.
-2, 0, 1
Let h be 2/(-12) - 363/(-18). Suppose -24 = -5*y - x, -4*x + h = y - 0*x. Suppose 0*q**y - 3*q**3 - 5*q**5 + 8*q**3 + 10*q**4 - 10*q**2 = 0. What is q?
-1, 0, 1, 2
Suppose 3*a + 4*l = 127, a - 3*l = 2*a - 39. Let m be (10/a)/((-2)/(-16)). Solve -8/9*w + 26/9*w**3 - 28/9*w**2 + m - 2/3*w**4 = 0 for w.
-2/3, 1, 2
Suppose 4*u + 20 = 8*u - 3*r, r = -5*u + 25. Determine i, given that 0*i**3 + 18*i - 20*i + u - 3 + 2*i**3 - 2*i**2 = 0.
-1, 1
Let g(p) be the third derivative of p**6/840 + 73*p**5/70 + 1980*p**4/7 - 48400*p**3/21 + 351*p**2. Factor g(d).
(d - 2)*(d + 220)**2/7
Let 39008*k**2 + 165 + 2*k**4 + 717 + 16*k**3 - 336*k - 39060*k**2 = 0. What is k?
-7, 3
Let n(k) be the first derivative of -k**3/21 + 33*k**2/14 - 90*k/7 + 3735. Let n(l) = 0. What is l?
3, 30
Let w(n) = 28*n**3 - 56*n**2 + 148*n - 72. Let o(k) = 9*k**3 - 19*k**2 + 49*k - 24. Let l be (15/25 - 1) + 27/5. Let f(a) = l*w(a) - 16*o(a). Factor f(u).
-4*(u - 3)*(u - 2)*(u - 1)
Let -6*o**3 - 2093*o + 2301*o - 35 + 291 - o**3 + 3*o**3 - 52*o**2 = 0. What is o?
-16, -1, 4
Suppose -795 = -2*g - 2*v - 797, g + 2*v = -4. Let f = 1001/2 - 490. Let 9*j + 3/2*j**3 - f*j**g + 0 = 0. Calculate j.
0, 1, 6
Let c(l) = 6*l**3 + 4*l**2 + 18*l + 13. Let i = 71 + -78. Let y(q) = 2*q**3 + 2*q**2 + 6*q + 4. Let n(j) = i*y(j) + 2*c(j). Factor n(b).
-2*(b + 1)**3
Let g = -665 - -1127. Let m be (-2)/6*9*(-550)/g. Factor -12*q + 36/7 - 11/7*q**2 + 10*q**3 + m*q**4.
(q + 2)**2*(5*q - 3)**2/7
Suppose n + 0 - 15 = 0. Suppose -20*r + 72 = -2*r. Let -11*m + 6*m**2 + 2 + n*m + r*m = 0. Calculate m.
-1, -1/3
Let r be (-819)/(-81)*405/1755. Find p, given that 19/3*p**3 - r*p**4 + 10/3 + 53/3*p + 23*p**2 = 0.
-1, -2/7, 5
Factor 70/3*c - 8 + 2*c**2.
2*(c + 12)*(3*c - 1)/3
Let s be 43 - (-4 - 0 - -8). Let u = s + -112/3. Factor -10 + u*q**2 - 5/3*q.
5*(q - 3)*(q + 2)/3
Let p = -268237/14 - -134122/7. Factor -1/2*t**5 + t**3 + 0*t + 0*t**2 + p*t**4 + 0.
-t**3*(t - 2)*(t + 1)/2
Suppose 0 = 8*u - 5 - 19. Factor 6*q**5 + 2*q**2 + 4*q**4 - 299*q**3 - 7*q**5 + 294*q**u