 r = -7 + 25. Determine c so that -17*c**2 + 4*c + 0*c + r*c**2 = 0.
-4, 0
Let y(p) be the third derivative of p**2 + 0*p**4 - 1/2016*p**8 - 1/1260*p**7 + 0*p**3 + 1/720*p**6 + 0 + 1/360*p**5 + 0*p. Factor y(r).
-r**2*(r - 1)*(r + 1)**2/6
Let g = 85411/7536 - 1/2512. Find a such that -8/3 - g*a**2 - a**4 + 28/3*a + 17/3*a**3 = 0.
2/3, 1, 2
Let c be (-364)/(-273)*(99/24 - 3). Determine i so that -12 - c*i**2 - 9*i = 0.
-4, -2
Let t(m) be the first derivative of 1/28*m**4 + 1/140*m**5 - 12 + 1/21*m**3 + 0*m**2 - 3*m. Let k(g) be the first derivative of t(g). Solve k(a) = 0.
-2, -1, 0
Let i(j) be the first derivative of 1/5*j**2 + 0*j + 26 - 1/5*j**3 + 1/20*j**4. Factor i(s).
s*(s - 2)*(s - 1)/5
Solve 16/3*c**2 + 2/9*c**3 + 56/3*c + 160/9 = 0 for c.
-20, -2
Let v(r) = 23*r**3 - 33*r**2 - 144*r + 185. Let o(h) = 4*h**3 - 6*h**2 - 24*h + 31. Let i(m) = 34*o(m) - 6*v(m). Factor i(u).
-2*(u - 2)**2*(u + 7)
Let h(i) be the second derivative of -3*i**5/4 + 335*i**4/3 + 150*i**3 - 41*i - 2. Solve h(g) = 0.
-2/3, 0, 90
Factor -1/5*p**4 - 12*p + 0 + 16/5*p**3 - 43/5*p**2.
-p*(p - 12)*(p - 5)*(p + 1)/5
Let b = 93643/15 - 6246. Let q = 19/5 + b. Let 0*x - 2/3*x**4 - 2/3*x**5 + 0 + q*x**2 + 2/3*x**3 = 0. Calculate x.
-1, 0, 1
Suppose -12/7*c**2 + 1/7*c**4 - 2*c - 2/7*c**3 - 5/7 = 0. What is c?
-1, 5
Let w = 5373 - 16118/3. Determine h so that 4/3*h**3 - w*h**5 + 2/3*h**2 + 0*h**4 - 2/3 - h = 0.
-1, 1, 2
Suppose 0 = 19*d - 15*d - 56. Factor d*b**3 - 216 - 226*b - 22*b**4 - 98*b + 198*b**2 - 49*b**3 + 24*b**4.
(b - 6)**3*(2*b + 1)
Suppose -3*r = -5*v + 13, -2*r - 12 = v + 1. Let w(t) = -t**2 - 6*t. Let i be w(r). Factor -2/3*k - 2/3*k**3 + i + 4/3*k**2.
-2*k*(k - 1)**2/3
Let r be (0 - 1)/(6/(-12)). Suppose 0 + 6 - r - 4*f**2 = 0. What is f?
-1, 1
Let z(q) = -2*q**2 - 52*q + 51. Let o be z(-27). Let f(h) = h**2 + 4*h + 5. Let c be f(o). Factor 3/2 + 3/2*k**c - 3*k.
3*(k - 1)**2/2
Let n(c) be the second derivative of 3*c**5/20 + 5*c**4/4 - 3*c**3 + 2*c - 100. Factor n(o).
3*o*(o - 1)*(o + 6)
Let m(b) be the third derivative of b**6/40 + 11*b**5/20 - 115*b**2. Factor m(s).
3*s**2*(s + 11)
Let v = 14798/17 - 870. Solve v*p**4 + 26/17*p**3 - 8/17 - 32/17*p + 6/17*p**2 = 0 for p.
-2, -1/4, 1
Let r(s) be the second derivative of -5*s**4/12 + 125*s**3/3 - 3125*s**2/2 - 35*s. Factor r(j).
-5*(j - 25)**2
Let s = 3 + 2. Let b be (-1)/s + (-13)/(-15). Factor 2*j**3 + 2/3*j - 2*j**2 + 0 - b*j**4.
-2*j*(j - 1)**3/3
Find y such that 2/3*y**3 - 4/3*y**2 + 2/3*y + 0 = 0.
0, 1
Suppose 0 = s - 3*f + 13, 1 = -4*s - 7*f + 2*f. Let o(g) = -g - 4. Let n be o(s). Factor -2*t - 3 - 2*t + n - t**2.
-(t + 1)*(t + 3)
Let r(c) be the second derivative of -c**5/35 - 26*c**4/7 - 152*c**3 - 5776*c**2/7 + 375*c. What is b in r(b) = 0?
-38, -2
Determine o, given that 5/4*o**4 - 35/4*o**3 - 25/2 + 45/4*o**2 + 35/4*o = 0.
-1, 1, 2, 5
Let p = 98 + -229. Let f = p - -395/3. Factor f*q**2 + 0*q + 0.
2*q**2/3
Suppose 20*o = -12*o. Let t(g) be the second derivative of 2*g + 0*g**2 + o*g**3 + 0 - 1/16*g**4. Suppose t(r) = 0. Calculate r.
0
Let i(t) = 2*t**2 + 30*t - 105. Let r be i(-18). Find v such that 2/13*v**4 + 0*v + 0 - 6/13*v**r + 4/13*v**2 = 0.
0, 1, 2
Solve 41 - 289/2*i + 7/2*i**2 = 0 for i.
2/7, 41
Let c be (-2)/7 - (-19)/42. Let i = 2016 + -4029/2. Solve -c*h**2 - i - h = 0 for h.
-3
Let s(q) be the second derivative of 5*q**6/6 + q**5/2 - 55*q**4/4 + 15*q**3 + 212*q. Let s(v) = 0. What is v?
-3, 0, 3/5, 2
Let j(i) be the third derivative of 0 - 2*i**2 + 1/300*i**5 - 1/30*i**4 + 1/10*i**3 + 0*i. Suppose j(r) = 0. What is r?
1, 3
Let j(y) = -y**3 - 38*y**2 - 107*y - 67. Let m be j(-35). Factor 4/9 + 2/9*x + 2/9*x**4 - 2/3*x**2 - 2/9*x**m.
2*(x - 2)*(x - 1)*(x + 1)**2/9
Let c(j) be the first derivative of 6 - 1/8*j + 3/16*j**2 - 1/8*j**3 + 1/32*j**4. Factor c(b).
(b - 1)**3/8
What is r in 3 - 2*r - 5/4*r**2 + 1/4*r**3 = 0?
-2, 1, 6
Let k(n) be the second derivative of 0 + 0*n**2 + 4/3*n**3 - 1/6*n**4 - 33/20*n**5 + 8*n + 9/10*n**6. Factor k(r).
r*(r - 1)*(3*r - 2)*(9*r + 4)
Let m(j) be the third derivative of -9/50*j**5 - 1/2*j**4 - 7/200*j**6 - 1/350*j**7 + 4*j**2 + 0 + 0*j - 4/5*j**3. Determine q so that m(q) = 0.
-2, -1
Let u = -333 - -335. Let p(v) be the second derivative of 1/140*v**5 - 1/28*v**4 - 5/42*v**3 + 1/210*v**6 - 1/7*v**u - 6*v + 0. Factor p(k).
(k - 2)*(k + 1)**3/7
Let r(h) be the third derivative of -4*h**7/35 + 17*h**6/20 + 57*h**5/40 + 59*h**4/64 + 5*h**3/16 - 298*h**2. Factor r(q).
-3*(q - 5)*(4*q + 1)**3/8
Suppose -2/9*h + 4/9 - 2/9*h**2 = 0. What is h?
-2, 1
Let b(r) be the third derivative of -r**8/20160 - r**7/2520 + 23*r**5/60 + 3*r**2. Let y(i) be the third derivative of b(i). Determine j so that y(j) = 0.
-2, 0
Let k be 1323/36 - (-9)/(-12). Factor -k + 71 - 39 - 4*c - c**2.
-(c + 2)**2
Let p(w) be the second derivative of -w**4/66 + 8*w**3/33 - 7*w**2/11 + 365*w + 2. Factor p(q).
-2*(q - 7)*(q - 1)/11
Let i(w) be the second derivative of -w**6/30 - w**5/10 + w**4/12 + w**3/3 - 19*w + 1. Let i(k) = 0. What is k?
-2, -1, 0, 1
Let f = -187 + 187. Let o be (-5 + (-87)/(-18))*f. Solve d - 1/2*d**2 + o = 0 for d.
0, 2
Let g = 8704526691/5429380 + -929451/580. Let c = 2/851 + g. Factor 4/11*j + c*j**3 - 2/11*j**4 + 0 - 10/11*j**2.
-2*j*(j - 2)*(j - 1)**2/11
Suppose -3*h - 4 = -5*h. Let j be (-5)/3 + (h - 1 - -1). Let 4/3*o + j*o**2 + 1 = 0. What is o?
-3, -1
Let o(h) = -2*h**2 - 5*h + 8. Let w(b) be the first derivative of -b**2/2 - 15. Let v(x) = -o(x) + 5*w(x). Factor v(g).
2*(g - 2)*(g + 2)
Let y = -1411 + 253981/180. Let m(u) be the third derivative of 1/360*u**6 + 6*u**2 + 1/630*u**7 - y*u**5 - 1/72*u**4 + 0*u + 0 + 0*u**3. Factor m(k).
k*(k - 1)*(k + 1)**2/3
Let i(x) be the second derivative of x**4/16 - 65*x**3/8 - 99*x**2/4 + 80*x. Determine p so that i(p) = 0.
-1, 66
Factor -3/5*c**2 + 63/5*c - 12.
-3*(c - 20)*(c - 1)/5
Let c be (6/(-54))/(1/(-6)). Factor 0 - 2/3*j + c*j**2.
2*j*(j - 1)/3
Let t(m) be the third derivative of -m**7/350 + 9*m**6/200 - 3*m**5/50 - 2*m**4/5 + 518*m**2. Factor t(x).
-3*x*(x - 8)*(x - 2)*(x + 1)/5
Let w be (-8)/(-52) + (-6)/39. Suppose -5*y + 3*y = w. Let 69*v**3 - 21*v**4 - 81*v**2 - 3*v + 42*v + y - 6 = 0. Calculate v.
2/7, 1
Suppose -5 - 1 = -3*f. Let k(h) = -h. Let v be k(-9). Factor 7*n**2 - 15*n + v + 1 - 2*n**f.
5*(n - 2)*(n - 1)
Let w(y) be the first derivative of -2*y**4/3 - 2*y**3/9 + 4*y**2/3 + 2*y/3 + 89. What is z in w(z) = 0?
-1, -1/4, 1
Let q = 9 - 7. Factor 6*j**2 - 5*j + q*j**2 - 7*j**2.
j*(j - 5)
Let p = -551 - -554. Solve 3 - 3/4*x**4 + 9/4*x**2 - 3/2*x**p + 6*x = 0.
-2, -1, 2
Let p(b) be the first derivative of -5*b**6/6 + 16*b**5 - 105*b**4 + 240*b**3 + 27. Factor p(u).
-5*u**2*(u - 6)**2*(u - 4)
Let s(m) be the first derivative of -m**8/420 - m**7/210 + 4*m**3/3 - 26. Let o(f) be the third derivative of s(f). Factor o(l).
-4*l**3*(l + 1)
Let v(r) be the third derivative of -25*r**2 + 2/3*r**3 - 1/15*r**5 + 0*r + 7/60*r**6 - 7/12*r**4 + 0. Factor v(d).
2*(d - 1)*(d + 1)*(7*d - 2)
Suppose -1108*d - 28 = -1104*d, 5*w - 6*d - 57 = 0. Factor 3/4*m + 1/4 + 1/4*m**w + 3/4*m**2.
(m + 1)**3/4
Suppose -3*h = -4*k - 6, k - 10 + 8 = -h. Let n(r) be the second derivative of 1/36*r**4 + 0 - 1/9*r**3 + 0*r**h - 2*r. Factor n(w).
w*(w - 2)/3
Let x be 140/(-175)*(-1 - 3/(-4)). Let v(s) be the second derivative of x*s**6 - 6*s + 0*s**4 + 0*s**5 + 0 + 0*s**2 + 0*s**3 - 1/14*s**7. Solve v(i) = 0.
0, 2
Let h(w) be the first derivative of -w**4/20 - w**3/15 + 17*w**2/10 - 3*w - 281. Solve h(n) = 0.
-5, 1, 3
Let w(x) = -x**3 + 4*x**2 + 6*x + 39. Let d be w(6). Solve 0*j**d + 0 + 1/2*j**4 + 1/4*j**5 - 1/2*j**2 - 1/4*j = 0 for j.
-1, 0, 1
Suppose -60*b**2 - 27 - 138*b**2 - 10*b**3 - 42 + 2*b**3 - 52*b**3 - 204*b + 3*b**4 = 0. What is b?
-1, 23
Let u = 118 - 113. Let y(t) = -t**2 + 4*t + 7. Let m be y(u). Factor -1/2*x**m - 2 - 2*x.
-(x + 2)**2/2
Let h(b) be the first derivative of 7*b**6/6 + 12*b**5/5 - b**4 - 14*b**3/3 - 3*b**2/2 + 2*b - 81. Factor h(t).
(t - 1)*(t + 1)**3*(7*t - 2)
What is z in 12/5*z**2 + 8/5 - 10*z = 0?
1/6, 4
Let o(a) = -3*a**4 + 19*a**3 - 4*a**2 + 4. Let k(u) = u**4 + u**2 - 1. Let y(g) = -4*k(g) - o(g). Factor y(p).
-p**3*(p + 19)
Let p(x) be the first derivative of -8*x**5/25 - 24*x**4/5 - 78*x**3/5 - 83*x**2