**2 + 153*q + 36. Let k(m) = -2*m**3 + m. Let r(s) = 6*k(s) - n(s). Determine d, given that r(d) = 0.
-12, -1
Let p(b) be the third derivative of -b**6/420 - b**5/15 + 5*b**4/28 + 14*b**2 + 6*b. Suppose p(t) = 0. What is t?
-15, 0, 1
Determine f, given that 22 + 45 - 75*f + 6*f**2 - 5*f**2 - 32*f + 39 = 0.
1, 106
Let f = -4716 - -33013/7. Solve -2/7 - 1/7*d + 3/7*d**2 + 1/7*d**3 - f*d**4 = 0 for d.
-1, 1, 2
Let z be ((-50)/(-30))/5*6/9. Let h(i) be the third derivative of 0*i + 0 + z*i**4 + 1/90*i**5 + 16/9*i**3 - 7*i**2. Factor h(p).
2*(p + 4)**2/3
Suppose -m + 8 = 4. Suppose m*k - 7 = 9. Factor -2*o + 7*o**2 + 12*o**3 + 6*o**4 + o**2 + 2*o**4 + k*o + 2*o**5.
2*o*(o + 1)**4
Let b(d) be the first derivative of 5*d**3 + 0*d**2 - 27 - 5/6*d**6 + 5*d**5 - 35/4*d**4 + 0*d. Find a such that b(a) = 0.
0, 1, 3
Find h, given that h**4 - 1466 + 2935 - 3*h**2 - 1465 + 2*h**3 - 4*h = 0.
-2, 1
Let s be 50/(-60)*(-12)/80. Let n(x) be the first derivative of s*x**2 + 1/12*x**3 + 0*x - 1/16*x**4 - 1/20*x**5 - 2. Factor n(d).
-d*(d - 1)*(d + 1)**2/4
Solve 82/5*h + 2/5*h**2 - 84/5 = 0.
-42, 1
Determine v so that 2*v + 2*v**5 + 13*v**3 - 8*v**2 - 50*v**4 - v**3 + 42*v**4 = 0.
0, 1
Suppose -6*k + 720 = -30*k. Let l be (3/4)/(k/(-80)). Factor 4/7*m**l + 0 + 0*m - 4/7*m**3.
-4*m**2*(m - 1)/7
Let u(t) = t**5 + 2*t**4 + 2*t**3 + t**2 - t - 1. Let s(i) = 10*i**5 + 40*i**4 - 64*i**3 - 22*i**2 + 66*i - 6. Let g(q) = -s(q) + 6*u(q). What is d in g(d) = 0?
-9, -1, 0, 1, 2
Suppose -2*l = 3*l - 30. Let t = 8 - l. Factor -2 + 9*q**t - 13*q**2 + 3*q**2 - 3*q.
-(q + 1)*(q + 2)
Let r = 644 + -644. Let d(l) be the third derivative of r - 1/4*l**4 + 7*l**2 - 1/40*l**6 - 3/20*l**5 + 0*l**3 + 0*l. Find h such that d(h) = 0.
-2, -1, 0
Suppose -200 = -12*u + 340. Let f be 143/12 - 30/u. Solve -5/4*r**3 - f + 25/4*r**2 - 15/4*r = 0.
-1, 3
Let v(u) be the second derivative of u**6/30 + u**5/5 - u**4/4 - 5*u**3/3 + 4*u**2 + 325*u. Solve v(r) = 0 for r.
-4, -2, 1
Determine j, given that 0 + 4/3*j**2 + 4/3*j**3 + 0*j = 0.
-1, 0
Suppose d = -5*p + 21, 5*p + 6 = 3*d + 3. Let r be ((-39)/(-52))/(d/16). Factor -8/5*o**2 + 2/5*o**3 + r*o - 4/5.
2*(o - 2)*(o - 1)**2/5
Let b(k) = 10*k**2 + 4*k - 11. Let y(t) = 5. Let c(f) = 1. Let n(j) = 4*c(j) - y(j). Let r(v) = b(v) - 5*n(v). Solve r(a) = 0.
-1, 3/5
Let w(g) be the second derivative of -g**5/60 + g**3/6 + g**2/3 - 15*g - 3. Suppose w(l) = 0. What is l?
-1, 2
Let j(a) be the second derivative of -a**6/90 + a**5/6 - a**4 + 3*a**3 - 9*a**2/2 + a + 18. What is p in j(p) = 0?
1, 3
Let n(z) = -8*z**3 - 10*z**2 + 7. Let v(i) = -6*i**3 - 5*i**2 + 3. Let b(f) = 3*n(f) - 7*v(f). Find t, given that b(t) = 0.
-5/18, 0
Suppose -6*b - 4*b + 2*b = 0. Let t(m) be the third derivative of -1/3*m**3 - 1/30*m**5 + 0*m + 3*m**2 + 5/24*m**4 + b. Let t(z) = 0. Calculate z.
1/2, 2
Find f such that 2/11*f**3 - 90/11*f**2 + 966/11*f + 1058/11 = 0.
-1, 23
Let o = -38645/7 + 5521. Factor -20/7*t**2 + 0 - 50/7*t - o*t**3.
-2*t*(t + 5)**2/7
Let t(c) = 4*c**2 + 12*c - 3. Let p(r) = 3*r**2 + 12*r - 2. Let d(a) = -3*p(a) + 2*t(a). Factor d(k).
-k*(k + 12)
Suppose -h + 7 + 1 = -3*s, -s + h = 0. Let p be s*(-12)/16 - 0. Factor -p*o**3 - 7*o**2 + 3*o**2 - 2*o**2.
-3*o**2*(o + 2)
Let g be 19558/(-130) + 10/(-65). Let l = -150 - g. Factor 3/5*o**2 - 3/5 - l*o**3 + 3/5*o.
-3*(o - 1)**2*(o + 1)/5
Suppose 4 = -7*x + 18. Suppose 3*y - x*y - 86 = 0. Let -42*i**2 - 35*i**2 + 3*i**3 + y*i**2 = 0. Calculate i.
-3, 0
Let v(i) be the third derivative of -4*i**2 + 0*i - 1/45*i**3 - 2/225*i**5 + 0 + 1/36*i**4. Factor v(s).
-2*(s - 1)*(4*s - 1)/15
Factor -99/5*x**3 - 6*x - 93/5*x**2 + 0 - 39/5*x**4 - 3/5*x**5.
-3*x*(x + 1)**3*(x + 10)/5
Let l be (-15)/4*(-60)/9. Let k be (-1)/(-2) + l/10. Let 3*a**2 + 42*a**3 - 4*a**2 - 39*a**k = 0. Calculate a.
0, 1/3
Let y = 40/27 + -551/378. Let g(s) be the second derivative of 2*s + y*s**4 - 1/7*s**2 + 0 + 1/70*s**5 - 1/21*s**3. Factor g(i).
2*(i - 1)*(i + 1)**2/7
Let t = 175 + -175. Let n(c) be the second derivative of -1/4*c**3 - 1/16*c**4 - 4*c + t*c**2 + 0. Find g, given that n(g) = 0.
-2, 0
Let u(m) = -5*m + 5. Let f be u(1). Let z be 3 + -1 + ((-104)/18 - -4). Let -z*y**2 + 4/9*y + f = 0. What is y?
0, 2
Suppose 0 = -78*c + 431 - 119. Factor 0*x**2 + 0*x + 2/3*x**c + 0 - 1/3*x**3 - 1/3*x**5.
-x**3*(x - 1)**2/3
Find q such that 34*q + 11 - 11 + 9*q**2 - 7*q**2 + 20*q = 0.
-27, 0
Let g(m) = -m + 11. Let s be g(8). Factor -9 + s*k**2 + 10 - 10 + 6*k.
3*(k - 1)*(k + 3)
Let g(l) = 2*l**3 - 42*l**2 + 52*l + 90. Let o(t) = -2*t**2 + t + 2. Let f(u) = g(u) - 6*o(u). Factor f(b).
2*(b - 13)*(b - 3)*(b + 1)
Let z(h) be the first derivative of -h**6/40 - 3*h**5/10 - 3*h**4/2 - 4*h**3 - 6*h**2 - 11. Let m(g) be the second derivative of z(g). Factor m(k).
-3*(k + 2)**3
Let c(s) be the first derivative of s**5/5 + 13*s**4/8 + 5*s**3/2 - s**2/4 - 5*s/2 + 82. Factor c(h).
(h + 1)**2*(h + 5)*(2*h - 1)/2
Let p = 331 - 183. Suppose -d = d - p. What is y in y**2 - 6*y**2 - d*y**4 + 84*y**4 + 5*y**3 = 0?
-1, 0, 1/2
Let w(o) = 7*o**2 + 253*o - 3125. Let q(c) = 18*c**2 + 507*c - 6250. Let n(v) = -3*q(v) + 7*w(v). Determine g, given that n(g) = 0.
25
Determine i so that -16*i**5 + 43*i**4 + 19*i**5 - 13*i**4 + 75*i**3 = 0.
-5, 0
Determine l so that -15*l**2 + 11*l**3 + 30*l + 11*l**3 + 40 - 27*l**3 = 0.
-4, -1, 2
Let h(x) be the third derivative of 0 - 3/5*x**5 - 7/30*x**6 + 37*x**2 + 0*x**3 - 1/3*x**4 + 0*x. Factor h(u).
-4*u*(u + 1)*(7*u + 2)
Let d = 14303/20 - 715. Let m(p) be the second derivative of 2*p - 1/4*p**3 + 0 + d*p**5 + 3/4*p**2 - 1/28*p**7 + 1/20*p**6 - 1/4*p**4. Solve m(u) = 0.
-1, 1
Let u(i) be the first derivative of -i**4/3 + 4*i**3/3 - 2*i**2 + 6*i - 4. Let v(o) be the first derivative of u(o). Solve v(h) = 0.
1
Let q(u) be the second derivative of 5*u**4/126 + u**3/63 + 3*u. Let q(c) = 0. Calculate c.
-1/5, 0
Let r be 44/(-57) + 36/54. Let m = r - -23/38. Solve 0 - 1/4*d**2 - m*d = 0 for d.
-2, 0
Suppose 211*x - 522*x = -258*x - 159. Factor -2/7*l**2 + 0 + 0*l + 2/7*l**x.
2*l**2*(l - 1)/7
Factor -100 + 10*y - 1/4*y**2.
-(y - 20)**2/4
Let z be (39/15 - 3) + (-242)/(-55). Let n be -4 + z + (-2)/(-1). Factor -12/5*w - 18/5 - 2/5*w**n.
-2*(w + 3)**2/5
Let a = 58 + -231/4. Let v be (13/(-65))/(5/(-25)) - (-2)/(-4). Factor -v*p + 0 - 1/4*p**2 + a*p**4 + 1/2*p**3.
p*(p - 1)*(p + 1)*(p + 2)/4
Let l(x) = -2*x**3 + 32*x**2 + 22*x + 28. Let n(c) = c**3 - 11*c**2 - 7*c - 10. Let s(g) = -3*l(g) - 8*n(g). Factor s(j).
-2*(j + 1)**2*(j + 2)
Let s(z) be the third derivative of -5*z**2 + 0*z + 0 + 2*z**3 - 1/20*z**5 + 1/2*z**4 - 1/40*z**6. Factor s(y).
-3*(y - 2)*(y + 1)*(y + 2)
Let r(p) be the third derivative of 1/8*p**4 + 0 - 1/40*p**6 - 12*p**2 + 3/2*p**3 - 3/20*p**5 + 0*p. Suppose r(g) = 0. What is g?
-3, -1, 1
Factor -13083*y**3 - 20 - 40 + 235*y**2 - 140*y + 13048*y**3.
-5*(y - 6)*(y - 1)*(7*y + 2)
Let m be 5*1*(-360)/(-75). Find h, given that -5*h**3 + 3*h - h**3 + 0*h - m*h**2 + 13*h**4 + 3*h**5 + 12 - h**4 = 0.
-4, -1, 1
Let c(p) be the third derivative of -1/330*p**5 + 20*p**2 + 0*p + 0 + 0*p**3 - 1/1155*p**7 + 1/330*p**6 + 0*p**4. Factor c(q).
-2*q**2*(q - 1)**2/11
Suppose i = 3, 6*q - 2*i + 21 = 9*q. Let p(h) be the first derivative of -3 - 4/17*h**3 + 2/17*h**4 + 4/17*h**2 - 2/85*h**q - 2/17*h. Let p(j) = 0. Calculate j.
1
Let t(l) = -l**4 - 2*l**2 - l - 1. Let b(u) = -2*u**4 + 4*u**3 + 20*u**2 - 14*u + 2. Let z(n) = b(n) + 2*t(n). Factor z(q).
-4*q*(q - 2)*(q - 1)*(q + 2)
Let g = -1184 - -1184. Let m(p) be the third derivative of g + 0*p**3 + 0*p**4 + 1/80*p**5 + 0*p + 13*p**2 + 3/160*p**6. Factor m(n).
3*n**2*(3*n + 1)/4
Let h = -455 + 458. Factor 0 + 0*k + 2/9*k**4 + 2/9*k**2 - 4/9*k**h.
2*k**2*(k - 1)**2/9
Let b(c) = -c**3 + 12*c**2 - 12*c + 15. Let v be b(11). Factor 4*m**2 + 0 + 4*m - 4 + v - 8*m**3.
-4*m*(m - 1)*(2*m + 1)
Let l(f) = f + 9. Let i be l(-9). Suppose -2*k + i*k = -4. Factor -4*w**4 - 4*w**k + 8*w**3 - w**4 + w**4.
-4*w**2*(w - 1)**2
Let c(t) be the third derivative of t**8/112 - 3*t**7/35 - 7*t**6/40 + 10*t**2 - 2. Suppose c(l) = 0. What is l?
-1, 0, 7
Let y(l) be the third derivative of l**8/1848 + l**7/165 + 19*l**6/660 + 5*l**5/66 + 4*l**4/33 + 4*l**3/33 - 159*l**2. Determine p so that y(p) = 0.
-2, -1
Let x be 3/(-42)*4/(-1). 