 5*v - 3*q + 33 = 0, 55 = 22*v - 21*v + 5*q. Find p such that -14/5*p**2 + v + 2/5*p**3 + 0*p = 0.
0, 7
Let g(q) = -4*q**2 + q + 1. Let w(m) = -2*m**3 - 957*m**2 - 456*m + 471. Let d(o) = -21*g(o) + 3*w(o). Factor d(v).
-3*(v + 1)*(v + 464)*(2*v - 1)
Suppose 3*p - 3*b - 13 = 8, -3*p + 4*b = -24. Factor 11*u**p + 108*u - 72*u**2 - 33*u**3 - 29*u**4 + 15*u**4.
-3*u*(u - 1)*(u + 6)**2
Let l be 1*((-117)/(-65))/(3/10). Let i = -1 + l. Factor -f**5 - 3*f + 3*f**3 + 8*f - 6*f + 3*f + f**4 - i*f**2.
-f*(f - 1)**3*(f + 2)
Let j(k) be the first derivative of -99 + 1/5*k**5 + 1/8*k**6 + 0*k + 3/8*k**2 + 1/3*k**3 - 7/8*k**4. Solve j(z) = 0.
-3, -1/3, 0, 1
Factor -33/5*f**3 + 12/5*f + 0 + 12*f**2.
-3*f*(f - 2)*(11*f + 2)/5
Factor -10*l**2 + 22*l**2 + 184 - 17*l**2 + 356 + 165*l.
-5*(l - 36)*(l + 3)
Let w be ((-7)/(-13 + 6))/(1/(-4)). Let l be 7 - 10*2/w. Let -h**2 + 9*h**2 - 437*h**4 + l*h**3 + 417*h**4 = 0. Calculate h.
-2/5, 0, 1
Let t(g) = -g**3 - 18*g**2 + 15*g + 6. Let i be t(-18). Let q = -259 - i. Solve -1/2*j**2 + 0*j**4 - 1/4*j**q + 1/2 + j**3 - 3/4*j = 0.
-2, -1, 1
Suppose 0 = -2*i + 43 + 49. Let u = 148 - i. Suppose -7*t + 85*t**3 - u*t**2 + 48*t - 15 + 60*t**4 - 143*t**2 + 74*t = 0. What is t?
-3, 1/4, 1/3, 1
Let j(z) be the second derivative of 0*z**3 - 2 - 1/6*z**4 + 19/90*z**5 + 1/189*z**7 + 83*z - 11/135*z**6 + 0*z**2. Solve j(l) = 0 for l.
0, 1, 9
Let k = -16557 + 16557. Let s(d) be the second derivative of 4*d**3 - 21*d - 1/3*d**4 - 18*d**2 + k. Factor s(i).
-4*(i - 3)**2
Let g(s) be the second derivative of -s**5/70 - 71*s**4/21 + 143*s**3/21 - 1998*s. Determine m, given that g(m) = 0.
-143, 0, 1
Let w(v) be the third derivative of v**5/360 - v**4/24 - 7*v**3/36 + 4*v**2 + 193*v. Solve w(n) = 0 for n.
-1, 7
Let i be 14/10 + 3/5. Let g be 20463/1436 + -14*(0 - -1). Solve -3/4*d + 0 + g*d**i = 0.
0, 3
Let m(p) be the first derivative of p**6/18 - 11*p**5/15 + 9*p**4/4 + 35*p**3/9 - 56*p**2/3 + 20*p + 600. Let m(r) = 0. What is r?
-2, 1, 5, 6
Let j = 533821/15 + -106505/3. Let 6528/5*b**2 + 225*b**4 + 81/5*b**5 + 3168/5*b + 4836/5*b**3 + j = 0. Calculate b.
-6, -1, -2/3, -2/9
Let b(g) be the second derivative of 0*g**4 + 16/7*g**2 - 1/70*g**5 - 83*g + 4/7*g**3 + 2. Suppose b(f) = 0. What is f?
-2, 4
Let y(q) be the third derivative of -q**7/735 + 33*q**6/140 - 383*q**5/210 + 95*q**4/28 - 14*q**2 + 132*q. Let y(b) = 0. What is b?
0, 1, 3, 95
Let q be 57/(-190)*-2*(-30)/(-9). Let m(w) be the first derivative of 38 + 4*w**5 - 4*w**q + 4/3*w**3 + 8*w**4 + 0*w. What is x in m(x) = 0?
-1, 0, 2/5
Let o be 6*1 - ((-2367)/(-63) + -9). Let g = -155/7 - o. Solve -3/7 - 3/7*b + g*b**2 + 3/7*b**3 = 0 for b.
-1, 1
Let s be (-1)/8 - (2 - (-534)/(-48)). Suppose -84 = s*d - 129. Factor 0 + 0*y**2 + y**4 - 6/5*y**3 + 1/5*y**d + 0*y.
y**3*(y - 1)*(y + 6)/5
Let g(z) be the second derivative of -4*z**2 + 2*z**3 + 6 - 1/5*z**5 + 0*z**4 - 5*z. Factor g(p).
-4*(p - 1)**2*(p + 2)
Let f = 158/9 + -763/45. Let s(g) be the first derivative of -10 + 0*g - 3/10*g**2 + g**3 - f*g**4. Factor s(y).
-3*y*(y - 1)*(4*y - 1)/5
Suppose 17 = 3*k - 148. Let -k*n**4 + 70*n**2 - 6*n + 21*n**4 - 22*n**5 + 67*n**5 - 19*n**2 - 39*n**3 - 17*n**4 = 0. Calculate n.
-1, 0, 2/15, 1
Let j(a) be the third derivative of 95/12*a**4 + 1805/6*a**3 + 1/12*a**5 + 101*a**2 + 0 + 0*a. Determine n so that j(n) = 0.
-19
Let p be -23 - (-25 + 51 - 53). Let s(t) be the first derivative of 1 + 0*t**p + 2/115*t**5 + 0*t - 2/23*t**3 + 2/23*t**2. Factor s(f).
2*f*(f - 1)**2*(f + 2)/23
Let l(k) = 2*k**2 + 26*k + 12. Let f be l(-12). Let p = 14 + f. Factor 7*u**4 - 7*u**4 + 3*u**4 - u**p - 2*u**4.
u**2*(u - 1)*(u + 1)
Let y(b) be the first derivative of 4*b**3/3 - 3264*b**2 + 2663424*b + 770. Factor y(c).
4*(c - 816)**2
Factor -381*b**2 + 72516 + 102399*b + b**3 - 260*b**2 + 30525.
(b - 321)**2*(b + 1)
Let h(n) = -13*n - 50. Let v be h(-4). Suppose 10*d - 6*d - v*d**2 - d + 6 + d = 0. What is d?
-1, 3
Let g be -2*(-105)/66 - 2/11. Factor 36 + 120*v**2 + 77*v + 35*v - 4*v**4 + 48*v**g - v**4 + 4*v**4 + 5*v**4.
4*(v + 1)**3*(v + 9)
Let d(g) be the first derivative of -g**4/5 - 76*g**3/5 + 236*g**2/5 - 4718. Factor d(j).
-4*j*(j - 2)*(j + 59)/5
Let z = -36 + 57. Suppose 6 + 6 + 3*n**2 + 6 + z*n = 0. Calculate n.
-6, -1
Suppose 241*f + 2310 = 243*f. Let d = -26559/23 + f. Let 0*m + 0 + 2/23*m**5 + 36/23*m**2 - 8/23*m**4 - d*m**3 = 0. Calculate m.
-2, 0, 3
Let 51 + 16*z**4 - 35*z**5 + 220*z**2 - 229*z + 33 - 10*z**3 - 33*z**5 - 80*z**3 + 67*z**5 = 0. Calculate z.
1, 3, 4, 7
Factor 20 + 1/3*n**2 + 32/3*n.
(n + 2)*(n + 30)/3
Suppose -4*v = -12, 18*v - 14*v - 12 = -3*n. Suppose n = -50*t + 38*t. Suppose -2/7*a**3 + 2/7*a**5 + 0 - 2/7*a**4 + t*a + 2/7*a**2 = 0. What is a?
-1, 0, 1
Suppose 3*f - 6*f - 7 = 2*n, -3*f - 9 = 0. Let u be (0/9)/(3*n). Determine s, given that -9*s + u*s**2 - 3*s**2 + 9*s - 3*s**3 = 0.
-1, 0
Let k be ((77/(-56))/(-11))/((-2)/(-8))*(-319 + 325). Suppose -34596/5*m - 558/5*m**2 - 714984/5 - 3/5*m**k = 0. What is m?
-62
Let d = -2292 - -2301. Let p(x) be the second derivative of 0*x**2 + 0 + d*x + 1/8*x**4 + 1/4*x**3. Suppose p(q) = 0. Calculate q.
-1, 0
Let v(q) = -q**2 + 17*q + 22. Let g be v(13). Factor -2*l**3 + l + 0*l**3 + 14 + 61*l - g.
-2*(l - 5)*(l - 1)*(l + 6)
Let r(t) be the third derivative of 0*t + 3/10*t**6 + 196/3*t**3 + 21*t**4 + 1/105*t**7 + 109/30*t**5 - 3*t**2 + 6. Solve r(g) = 0 for g.
-7, -2
Let u(y) be the third derivative of -y**6/540 + y**5/27 + 23*y**4/36 + 10*y**3/3 - 84*y**2 + 5*y - 1. Suppose u(t) = 0. Calculate t.
-3, -2, 15
What is y in -236*y - y**3 + 224 - 1/2*y**4 + 66*y**2 = 0?
-14, 2, 8
Determine v, given that 0 - 260/9*v + 784/9*v**2 + 5/9*v**4 - 337/9*v**3 = 0.
0, 2/5, 2, 65
Let l(o) = -o**4 - 4*o**2 + 4*o + 1. Let c(z) = z**3 - 2*z**2 + z. Suppose 0 = 5*v + 10 - 0. Let g(d) = v*c(d) + l(d). Factor g(k).
-(k - 1)*(k + 1)**3
Let s(q) = q**3 + 8*q**2 + 13*q + 8. Let j be s(-6). Suppose h - j - 4 = 0. Factor h*k**3 - 52*k - 8*k**2 - 3*k**3 + k**3 - 40.
4*(k - 5)*(k + 1)*(k + 2)
Let q(r) = -44*r**3 - 208*r**2. Let f(s) = s + 7. Let b be f(-5). Let m(g) = 0*g**2 - 4*g**3 - 22*g**2 + 3*g**b. Let o(t) = 32*m(t) - 3*q(t). Factor o(a).
4*a**2*(a + 4)
Let c(z) be the first derivative of 12*z + 0*z**2 + 1/4*z**4 - 3/2*z**3 + 3. Let u(f) be the first derivative of c(f). Find d such that u(d) = 0.
0, 3
Let d = -7/169237 - -183283720/1184659. Factor -d*m - 4674/7*m**2 + 0 - 1395/7*m**3 - 108/7*m**4.
-3*m*(3*m + 19)**2*(4*m + 1)/7
Let c = -457 - -459. Let d(v) be the third derivative of 0*v - 30*v**c - 3/64*v**4 + 0 - 1/160*v**5 - 1/8*v**3. Factor d(u).
-3*(u + 1)*(u + 2)/8
Suppose 4*i - 12*z - 4 = -8*z, 0 = -5*i + 3*z + 9. Let f(t) = -23*t**3 - t**2 - t. Let m be f(-1). Factor -4*s**5 - 59*s**3 - 55*s**4 - 5*s**i + m*s**4.
-4*s**3*(s + 4)**2
Let g(n) be the first derivative of 10/3*n**3 - 2/15*n**5 + 1/2*n**4 + 17/3*n**2 + 4*n + 53. Solve g(s) = 0 for s.
-1, 6
Let 40/9*z**2 + 0 - 46/9*z + 2/3*z**3 = 0. What is z?
-23/3, 0, 1
Let g(m) be the second derivative of -m**6/195 - 23*m**5/130 - 33*m**4/13 - 252*m**3/13 - 1080*m**2/13 - 1799*m. Determine t so that g(t) = 0.
-6, -5
Let k(p) = -2*p**3 + 50*p**2 - 52*p + 96. Let m be k(24). Factor -6/7*n**3 + 0 + 2/7*n**2 - 2/7*n**5 + m*n + 6/7*n**4.
-2*n**2*(n - 1)**3/7
Factor -264/19 - 34/19*o**2 + 2248/19*o.
-2*(o - 66)*(17*o - 2)/19
Let h(n) = -265*n**3 - 259*n**2 - 134*n + 7. Let x(i) = -133*i**3 - 130*i**2 - 77*i + 4. Let c(a) = -4*h(a) + 7*x(a). Factor c(u).
3*u*(u + 1)*(43*u - 1)
Let x(t) = -25*t**2 + 155*t - 35. Let z(l) = -2*l**2 + 13*l - 3. Let o be 1572/9 - 1*(-3)/9. Suppose -u + o = 4*u. Let a(m) = u*z(m) - 3*x(m). Factor a(p).
5*p*(p - 2)
Let q(s) be the first derivative of 5*s**3/3 + 130*s**2 - 1120*s - 3120. Let q(x) = 0. What is x?
-56, 4
Let k(j) = j**4 + 7*j**3 + 2*j. Let x(p) = -16*p**4 + 76*p**3 + 200*p**2 - 36*p. Let m(l) = 36*k(l) + 2*x(l). Factor m(h).
4*h**2*(h + 1)*(h + 100)
Suppose 866 = 29*u + 750. Let k(d) be the second derivative of 0 + 22*d - 1/5*d**5 + 0*d**3 + 1/2*d**u + 0*d**2 - 1/15*d**6. Factor k(l).
-2*l**2*(l - 1)*(l + 3)
Determine n so that 15*n**5 - 3*n**5 - 256*n + 224*n**2 - 140*n**4 + 222*n**3 - 1659949 + 106*n**3 + 1659949 = 0.
-1, 0, 2/3, 4, 8
Let x be 2/8 - (-237)/12. Let v = -1512 - 