 + 3 - 22*q**2.
-3*(q - 1)**3
Suppose 21316/13 + 53874/13*v + 886/13*v**3 + 6/13*v**4 + 33438/13*v**2 = 0. Calculate v.
-73, -1, -2/3
Suppose 3*l + 66*h = 63*h - 15, -2*l + 116 = -16*h. Find s, given that 4 - 4/3*s - 1/3*s**l = 0.
-6, 2
Let r(b) be the first derivative of -4*b**5/5 + b**4 + 20*b**3/3 + 6*b**2 - 202. Factor r(d).
-4*d*(d - 3)*(d + 1)**2
Let m be (1*-9)/(1332/(-1480)). Factor 15*c - 15/2*c**2 - m + 5/4*c**3.
5*(c - 2)**3/4
Suppose -40 + 6 = -4*f + a, -18 = -3*f - 3*a. Suppose -f = -2*i - 2*i. Factor -87*k**3 + 27*k**4 + 24*k**2 + 60*k**2 - 45*k + 15*k**i + 6.
3*(k - 1)**3*(9*k - 2)
Let u(t) be the second derivative of 0 - 1/3*t**3 + 0*t**2 - 22*t + 1/6*t**4. Factor u(m).
2*m*(m - 1)
Let u = -83/14 + 305/42. Factor 2/3*g**2 + u*g - 2.
2*(g - 1)*(g + 3)/3
Let o be 0 - 0 - (-4 + 3). Let r be (-3 - -38) + 3*o. Suppose 62*n + 20 - 181*n**3 + 35*n**2 + 136*n**3 + r*n = 0. Calculate n.
-1, -2/9, 2
Suppose 3*r + 1 = u, u = -0*u + 2*r + 5. Let d = -9 + u. Factor -4*z**3 - 2*z + 3*z**2 + d*z - z**4 + 2*z**3 - 2*z**2.
-z*(z - 1)*(z + 1)*(z + 2)
Suppose -30*k**3 - 4*k**3 - 22*k**3 + 26*k**4 + k**3 - 365*k**2 + 75*k - k**4 = 0. What is k?
-3, 0, 1/5, 5
Let 2/5*w**5 + 14*w**3 + 0*w - 10*w**2 - 22/5*w**4 + 0 = 0. What is w?
0, 1, 5
Let k be 5*-14*(-2)/10. Suppose -5*t - 5 = 5*o, -5*o = -5*t + k + 21. Factor 4*v + 2*v - 6 - t*v + 3*v**2.
3*(v - 1)*(v + 2)
Suppose 0 = -7*c + 6*c + 6. Factor -6*x**2 - 213*x**3 - 36*x - c*x**2 - 4*x**4 + 233*x**3.
-4*x*(x - 3)**2*(x + 1)
Let w(s) be the second derivative of 2*s**7/21 + 2*s**6/15 - 9*s**5/5 - 13*s**4/3 + 16*s**3/3 + 24*s**2 + 228*s. Determine j so that w(j) = 0.
-2, -1, 1, 3
Determine q so that -110*q**2 + 40*q**4 - 24*q**3 + 120 - 5*q**5 - 60*q - 21*q**3 + 160*q = 0.
-1, 2, 6
Let v(x) = -3*x + 9. Let i be v(3). Let j(y) be the second derivative of 4*y + 0*y**2 + i - 1/14*y**7 + 1/5*y**6 + 0*y**3 - 3/20*y**5 + 0*y**4. Factor j(d).
-3*d**3*(d - 1)**2
Let c be (((-16)/(-6))/4)/((-16)/696). Let y = c - -32. Suppose -1/2*m**2 + 1/2*m**4 + 0 + 1/2*m**y - 1/2*m = 0. Calculate m.
-1, 0, 1
Let r = 93587/7 + -13369. Suppose 2*j + 9*c = 4*c + 9, 3*j = 2*c + 4. Determine w so that -r*w**j - 5/7*w - 1/7*w**3 - 2/7 = 0.
-2, -1
Factor 88/7*n + 192/7 - 4/7*n**2.
-4*(n - 24)*(n + 2)/7
Suppose 0*i + 0 + 2/7*i**3 - 4/7*i**2 = 0. Calculate i.
0, 2
Let p(g) = -7*g**2 + 269*g + 2. Let v(h) = -36*h**2 + 1362*h + 11. Let z(i) = 11*p(i) - 2*v(i). Find q such that z(q) = 0.
0, 47
Let r(u) be the first derivative of -u**4/2 + 6*u**3 + 22*u**2 - 274. Factor r(p).
-2*p*(p - 11)*(p + 2)
Let b be (-24)/(-9) - 16/24. Find z such that -z**2 - 3*z + 12*z**2 - 8*z**b = 0.
0, 1
Find k, given that 1/6*k**3 + 5 - 4/3*k**2 - 23/6*k = 0.
-3, 1, 10
Let t(a) = 24*a**3 + 275*a**2 + 414*a - 116. Let c(i) = 335*i**3 + 3850*i**2 + 5795*i - 1625. Let y(p) = -4*c(p) + 55*t(p). Solve y(v) = 0 for v.
-12, -2, 1/4
Let z be 4/2 - ((-240)/25)/(-3). Let s = 112/85 + z. Let -22/17*b - 50/17*b**3 - s - 70/17*b**2 = 0. Calculate b.
-1, -1/5
Let i = -47 + 59. Let l be 6/4*(-1)/(-14)*i. Factor -6/7*v**3 - 12/7 - 3/7*v**4 + 12/7*v + l*v**2.
-3*(v - 1)**2*(v + 2)**2/7
Let z be -4*(615/(-660) + 4/22). Let r = -6 - -6. Determine y, given that -14*y**4 + 4/3*y - 20/3*y**5 + 2*y**2 + r - 20/3*y**z = 0.
-1, -1/2, 0, 2/5
Let k(c) be the first derivative of -c**6/360 - c**5/180 - c**2/2 - 18. Let o(d) be the second derivative of k(d). Factor o(t).
-t**2*(t + 1)/3
Let b be 40/(-500) + (-1056)/(-1950). Find m such that -8/13*m + b*m**4 - 28/13*m**2 + 16/13 + 2/13*m**3 = 0.
-2, -1, 2/3, 2
Let z = -42 - -40. Let u(k) = 6*k**2 - 14*k + 2. Let y(m) = -1. Let j(v) = z*u(v) + 4*y(v). Solve j(c) = 0 for c.
1/3, 2
Suppose 0 = 4*j - 2*h, 2*h - 6 = 3*j - 5*j. Let k be 1034/693 + (j - (-5)/(-7)). Suppose 0*v + 10/9*v**4 + 0 - k*v**3 - 2/9*v**5 + 8/9*v**2 = 0. What is v?
0, 1, 2
Let h(y) be the second derivative of -16*y**5/15 - 8*y**4/3 - 2*y**3 - 2*y**2/3 + y - 15. Factor h(i).
-4*(i + 1)*(4*i + 1)**2/3
Let g(k) be the third derivative of -k**6/40 + k**5/10 + 15*k**4/8 + 101*k**2. Let g(l) = 0. What is l?
-3, 0, 5
Let w = 29 + -19. Solve -w*i - 16*i + 4*i**2 + 29*i - 11*i = 0 for i.
0, 2
Let c = -33 - -36. Factor 2*i - 3*i**2 + 7*i**4 - 7*i**4 + c*i**4 - 2*i**4.
i*(i - 1)**2*(i + 2)
Let n(t) = t**2. Let q be n(-2). Let x be -4*-9*6/24. Factor -3*d**3 + 6*d**4 + 6*d**4 - 3*d**2 + 3*d**5 - x*d**q.
3*d**2*(d - 1)*(d + 1)**2
Find u, given that -10/9*u**3 + 8/3 - 22/3*u**2 - 32/9*u = 0.
-6, -1, 2/5
Let q(k) be the first derivative of 2*k**3/9 - 229*k**2/9 - 308*k/9 - 135. Factor q(p).
2*(p - 77)*(3*p + 2)/9
Let i(f) be the third derivative of -5/24*f**6 + 0*f**3 + 1/4*f**5 + 1/42*f**7 - 15*f**2 + 5/336*f**8 + 0 + 0*f + 0*f**4. Factor i(w).
5*w**2*(w - 1)**2*(w + 3)
Let n = 205/3 - 68. Let p(m) be the first derivative of -n*m**4 + 0*m**3 + 0*m + 0*m**2 + 4 + 2/5*m**5. Let p(f) = 0. What is f?
0, 2/3
Let q be ((-162)/(-12) - 0)/3. Let x(t) be the first derivative of -3*t**3 + q*t**2 + 6 - 3*t + 3/4*t**4. Suppose x(m) = 0. Calculate m.
1
Let r be 1*0*(-6)/(-24). Let h(z) be the third derivative of -5/24*z**4 + 0*z - 1/6*z**3 + r - 1/15*z**5 + z**2. Factor h(i).
-(i + 1)*(4*i + 1)
Let z(t) be the second derivative of 1/80*t**5 + 1/8*t**3 - 1/12*t**4 - 2*t + 0*t**2 + 0. Factor z(u).
u*(u - 3)*(u - 1)/4
Let j(n) be the third derivative of -n**5/15 + 2*n**4/3 - 2*n**3 - 5*n**2 - 22*n. Let j(c) = 0. Calculate c.
1, 3
Factor 0*l + 1/7*l**3 + 0 - 6/7*l**2.
l**2*(l - 6)/7
Let o(z) be the first derivative of 2/5*z**2 - 4/5*z + 1/25*z**5 + 1/5*z**3 + 12 - 1/5*z**4. Determine v so that o(v) = 0.
-1, 1, 2
Let k(w) be the first derivative of 0*w + 1/3*w**3 - 1/6*w**6 + 0*w**2 + 1/4*w**4 - 1/5*w**5 + 12. Factor k(b).
-b**2*(b - 1)*(b + 1)**2
Suppose 22*z = 25*z. Suppose z = 3*i - 17 + 2. Solve -o**5 - 4 + o**3 + 3*o**2 + 0*o**i - 3*o**2 + 7*o**2 - 3*o**4 = 0.
-2, -1, 1
Let y(o) be the third derivative of 1/6*o**4 + 4/105*o**7 + 4/15*o**5 + 27*o**2 + 0*o**3 + 0 + 0*o + 1/6*o**6. Find t such that y(t) = 0.
-1, -1/2, 0
Suppose -9 = -3*m - 0*a - 4*a, -2*a - 3 = -m. Solve 12*y**2 + 14*y**2 + 4*y - 27*y**2 - 4*y**3 + 4*y**4 - m*y**4 = 0.
-1, 0, 1, 4
Let n be ((-2)/4)/((-111)/(-1406)*-19). Determine y so that -2*y**2 + y**4 + n*y**5 + 1 + 1/3*y - 2/3*y**3 = 0.
-3, -1, 1
Suppose -t + 3*t - 8 = 0. Let h(l) = -7*l + 84. Let m be h(12). Factor 0*y - y**t + 0*y - 1 + m*y**4 + 2*y**2.
-(y - 1)**2*(y + 1)**2
Let r(z) = z**2 + 2*z + 2. Let y(j) = -2*j**2 - 30*j - 31. Let i(g) = -3*r(g) - y(g). Factor i(h).
-(h - 25)*(h + 1)
Let u(w) be the first derivative of 0*w**4 + 2 + 0*w**2 + 0*w**5 + 1/540*w**6 + w**3 + 0*w + 1/1260*w**7. Let q(h) be the third derivative of u(h). Factor q(i).
2*i**2*(i + 1)/3
Let k(r) be the second derivative of -24*r + 3/20*r**5 + 1/12*r**4 - r**2 + 1/30*r**6 - 1/2*r**3 + 0. Factor k(p).
(p - 1)*(p + 1)**2*(p + 2)
Let u(x) be the third derivative of -x**7/210 + x**6/90 + x**5/30 - x**4/6 - x**3/2 + 14*x**2. Let d(w) be the first derivative of u(w). Factor d(c).
-4*(c - 1)**2*(c + 1)
Let a(c) = 134*c + 134. Let v be a(-1). Find y such that v + 112/9*y**2 + 16/9*y + 100/9*y**5 + 280/9*y**4 + 92/3*y**3 = 0.
-1, -2/5, 0
Let f = 67 - 61. Find t such that 5*t**4 + 5*t**3 + 10 - 3*t + 4*t - f*t - 15*t**2 = 0.
-2, -1, 1
Factor -3*g**3 - 28 - 5*g**2 - 7*g**2 + 3*g + 16 + 24.
-3*(g - 1)*(g + 1)*(g + 4)
Let c(h) be the second derivative of 3/20*h**5 - 8*h + 0*h**2 - 1/2*h**4 + 0 + 0*h**3. What is s in c(s) = 0?
0, 2
Let m(c) be the third derivative of -c**7/7560 - c**6/360 - c**4/2 - 31*c**2. Let d(k) be the second derivative of m(k). Factor d(f).
-f*(f + 6)/3
Let w(d) be the second derivative of 3*d**5/140 + d**4/7 + 5*d**3/14 + 3*d**2/7 - 186*d. Suppose w(a) = 0. Calculate a.
-2, -1
Let t(x) = 3*x + 9. Let p be t(-5). Let i be 23/6 - p/36. Determine d so that d**2 - 3*d - 2 + i - d**2 + d**2 = 0.
1, 2
Suppose 4*f + 2*u - 16 = 0, -4*f + 24 = -2*u - 0. Solve 96*s + 0*s**f - 7*s**2 + 2*s**5 + 64*s**3 - 32 - 38*s**2 - 18*s**4 - 67*s**2 = 0.
1, 2
Let f(s) be the second derivative of -3*s**6/40 - 3*s**5/10 - s**4/16 + s**3 + 3*s**2/2 + 73*s. Solve f(v) = 0.
-2, -1, -2/3, 1
Let n(l) be the third derivative of -l**5/30 - 35*l**4/6 - 1225*l**3/3 - 89*l**2. What is o in n(o) = 0?
-35
Let h be 552/(-120