 = 0.
-27, -1, 0
Let u(q) = 2*q**2 - 177*q + 172. Let b(n) = 3*n**2 - 353*n + 343. Let w(o) = -3*b(o) + 7*u(o). Factor w(f).
5*(f - 35)*(f - 1)
Let i(r) be the third derivative of -r**7/105 - r**6/30 + r**4/6 + r**3/3 + 86*r**2. Suppose i(u) = 0. What is u?
-1, 1
Let q(n) = n**5 - n**4 - n**2 - n. Let s(x) = 10*x**5 - 22*x**4 - 36*x**3 + 74*x**2 - 6*x - 24. Let p(t) = -2*q(t) + s(t). Determine j, given that p(j) = 0.
-2, -1/2, 1, 3
Factor -72*n**2 + 164*n + 4*n**3 - 52*n**2 - 104 + 60*n**2.
4*(n - 13)*(n - 2)*(n - 1)
Factor 56*p + 48 + 1/3*p**3 + 25/3*p**2.
(p + 1)*(p + 12)**2/3
Let h(u) be the third derivative of -u**5/75 - 2*u**4/5 - 14*u**3/3 + 39*u**2. Factor h(t).
-4*(t + 5)*(t + 7)/5
Let u(o) be the first derivative of 2*o**3/9 + 4*o**2 + 18*o + 146. Find x such that u(x) = 0.
-9, -3
Let q(a) be the first derivative of -2*a**2 + 0*a + 1/210*a**5 + 1/420*a**6 - 1 - 1/21*a**3 - 1/84*a**4. Let g(h) be the second derivative of q(h). Factor g(o).
2*(o - 1)*(o + 1)**2/7
Let w(i) = i**3 + i**2 - 178*i + 501. Let g be w(3). Determine q so that 10/7*q**2 + 2/7*q**g + 6/7*q - 2/7*q**4 + 0 = 0.
-1, 0, 3
Let l(p) be the first derivative of 2 + 0*p + 0*p**5 + 0*p**4 - p**3 + 0*p**2 - 1/90*p**6. Let s(v) be the third derivative of l(v). Factor s(a).
-4*a**2
Let x(r) be the first derivative of -r**6/720 - r**5/80 + r**3 + 37. Let g(c) be the third derivative of x(c). Solve g(l) = 0.
-3, 0
Factor 124/13 + 56/13*q**2 + 14*q - 2/13*q**3.
-2*(q - 31)*(q + 1)*(q + 2)/13
Let b(v) = -v**3 - 9*v**2 - v - 7. Let s be b(-9). Let y(m) be the first derivative of 9*m + 8 + 3/2*m**s - 5/3*m**3 + 1/4*m**4. Suppose y(t) = 0. What is t?
-1, 3
Let l(i) = i**5 + i**3 + i**2 - 1. Let j(m) = m**5 - 11*m**4 - m**3 + 7*m**2 - 4. Let c(z) = -j(z) + 4*l(z). Factor c(p).
p**2*(p + 1)*(p + 3)*(3*p - 1)
Let l be 0/143 + 1*2. Let f(c) be the second derivative of 0*c**l + 0 + 0*c**3 + 0*c**4 - 1/30*c**6 - 1/10*c**5 + 10*c. Let f(w) = 0. Calculate w.
-2, 0
Let -400 - 32*q**3 - 158*q**2 - 460*q - 119*q**2 - 536*q**4 + 265*q**4 + 269*q**4 + 91*q**2 = 0. What is q?
-5, -4, -2
Let n be 20/30 - (-44)/6. Let f = 19 - n. Factor -12*y + 8*y**3 + 4*y**5 - 9*y**2 - 7 + y**2 + y**4 + 3 + f*y**4.
4*(y - 1)*(y + 1)**4
Let a(k) be the third derivative of k**8/392 - k**7/147 - k**6/420 + k**5/42 - k**4/42 + 4*k**2 - 1. Solve a(h) = 0.
-1, 0, 2/3, 1
Let x(t) be the first derivative of t**6/51 + 4*t**5/85 - t**4/34 - 4*t**3/51 + 50. Solve x(w) = 0.
-2, -1, 0, 1
Let r(y) be the third derivative of 0*y + 0*y**7 + 1/1008*y**8 + 0*y**5 + 0 - 1/180*y**6 + 0*y**3 - 14*y**2 + 1/72*y**4. Factor r(t).
t*(t - 1)**2*(t + 1)**2/3
Let p = 161/240 + -1/240. Factor 1/3*s + p - 1/3*s**2.
-(s - 2)*(s + 1)/3
Suppose 4*y - 2 = -k + 3, 6 = -3*y - 4*k. Let l(j) be the first derivative of 0*j - 1/14*j**4 + 0*j**3 + 0*j**y + 1/21*j**6 + 0*j**5 - 8. Factor l(s).
2*s**3*(s - 1)*(s + 1)/7
Let k(i) be the second derivative of -3*i**5/20 - 3*i**4/4 + 9*i**3/2 - 15*i**2/2 + 327*i. Solve k(v) = 0.
-5, 1
Let f(x) be the third derivative of x**8/2184 + x**7/1365 - 3*x**6/260 - x**5/390 + 5*x**4/39 - 4*x**3/13 + 40*x**2. Determine a, given that f(a) = 0.
-3, -2, 1, 2
Solve 46255/3*t - 24389/3 + 2/3*t**4 + 1653*t**2 + 173/3*t**3 = 0.
-29, 1/2
Let k(i) be the first derivative of i**6/1440 + i**5/80 + i**4/12 + 13*i**3/3 + 10. Let b(f) be the third derivative of k(f). Factor b(x).
(x + 2)*(x + 4)/4
Let s(x) be the first derivative of -15*x**6/2 + 102*x**5 - 1805*x**4/4 + 500*x**3 + 840*x**2 + 320*x - 382. Factor s(p).
-5*(p - 4)**3*(3*p + 1)**2
Let x be 9/6*(12 - -2). Suppose 0*p + 3*v = 2*p - x, 0 = -5*p - 4*v - 5. Solve -2*l**p + 4*l**2 + 11*l**2 - 2 - 17*l**3 - l + 7*l**4 = 0.
-2/7, 1
Suppose f - 11 + 54 = 4*l, -2*l + f = -19. Suppose 7*d = l*d - 3*d. Factor 2/7*q + d + 4/7*q**2 + 2/7*q**3.
2*q*(q + 1)**2/7
Let n(l) be the second derivative of 0 + 24*l - 10*l**2 + 1/4*l**5 + 5/4*l**4 + 0*l**3. Factor n(g).
5*(g - 1)*(g + 2)**2
Let k(f) be the second derivative of -f**4/15 - 4*f**3/5 + 54*f**2/5 + 44*f + 1. Factor k(y).
-4*(y - 3)*(y + 9)/5
Let b(y) be the first derivative of -18 + 8/5*y + 4/5*y**2 - 2/5*y**3 + 2/25*y**5 - 1/5*y**4. Solve b(g) = 0.
-1, 2
Let w(i) be the third derivative of 11*i**2 - 1/360*i**6 + 0*i + 0 - 5/72*i**4 + 1/9*i**3 + 1/45*i**5. Suppose w(g) = 0. Calculate g.
1, 2
Let m(z) be the second derivative of z**7/5880 + z**6/840 + 2*z**4/3 - 7*z. Let b(f) be the third derivative of m(f). What is c in b(c) = 0?
-2, 0
Solve 56 + 301760*s**2 - 300 - 301758*s**2 + 118*s = 0.
-61, 2
Let -1 - 182*p**2 + 185*p**2 + 7 + 9*p = 0. What is p?
-2, -1
Suppose 5*l + 5*f + 10 = 0, -2*l + 5*l + 16 = -5*f. Factor 13*z**l + 7*z**2 + 0*z**3 - 11*z**2 - 3*z**3 - 6*z**4.
-2*z**2*(z - 1)*(3*z - 2)
Let c(x) = -62*x - 485. Let l be c(-8). Let a(j) be the first derivative of 0*j - 1/3*j**5 + 2/3*j**4 - 1/3*j**2 - 1/9*j**3 - l. Let a(u) = 0. What is u?
-2/5, 0, 1
Let r(s) be the second derivative of s**8/3360 + s**7/84 + 5*s**6/24 + 25*s**5/12 + 5*s**4/6 + 6*s. Let j(l) be the third derivative of r(l). Factor j(z).
2*(z + 5)**3
Let b = 1369/3045 + 53/435. Let b*l**2 + 0 + 16/7*l = 0. What is l?
-4, 0
Suppose 5 = -13*j + 14*j. Let z be (-4 + 5)*-3 + j. Suppose -1 - 17/2*p**z + 19/2*p = 0. What is p?
2/17, 1
Let z be 1008/(-924) + 378/165. Solve -33/5*w + 3*w**2 + z*w**3 + 12/5 = 0 for w.
-4, 1/2, 1
Let y(c) be the first derivative of 2*c**3/33 - 5*c**2/11 + 12*c/11 + 10. Find j such that y(j) = 0.
2, 3
Let o(z) be the second derivative of z**6/6 - 5*z**5/2 - 115*z**4/12 - 10*z**3 + 2*z - 105. What is m in o(m) = 0?
-1, 0, 12
Let n(r) = -r**3 - 3*r**2 + 9*r + 13. Let t be n(-2). Let g be 18*((-160)/(-315) - (-2)/t). Find v such that -54/7 + 0*v + 16/7*v**3 + g*v**2 + 2/7*v**4 = 0.
-3, 1
Suppose -3*a + 82*x - 80*x = -12, -3*a + 24 = -4*x. Factor -2/5*m + 0 - 1/5*m**4 + a*m**3 + 3/5*m**2.
-m*(m - 1)**2*(m + 2)/5
Let h(y) be the third derivative of -y**9/211680 + y**8/70560 + y**5/4 - 13*y**2. Let s(j) be the third derivative of h(j). Determine c, given that s(c) = 0.
0, 1
Let m(h) be the second derivative of 16*h**6/15 - 36*h**5/5 + 25*h**4/6 + 9*h**3 + 4*h**2 + 99*h. Solve m(q) = 0.
-1/4, 1, 4
Let p(k) = -6*k**4 + 41*k**3 - 66*k**2 - 300*k + 500. Let l(r) = -r**4 + 8*r**3 - 13*r**2 - 60*r + 100. Let h(m) = 22*l(m) - 4*p(m). Let h(d) = 0. What is d?
-5, 2
Let i(b) = 14*b**3 + b**2. Let t be i(-1). Let p = -11 - t. Let -h - h**p + 3*h**3 + 1 + 1 + h**2 - 4*h**2 = 0. What is h?
-2/3, 1
Let d be 7 - (-1)/((-2)/10). What is u in 12*u**2 - 3*u**3 + u**d - 15*u**2 - 15*u**4 + 17*u**2 + 3*u = 0?
-1, -1/5, 0, 1
Let i(o) = o**2 - 9*o + 5. Let j be i(9). Suppose 5*a - 2*a - 6*a**2 + 6*a**4 + 10*a**j - 13*a**5 = 0. Calculate a.
-1, 0, 1
Factor -8/11*y + 0 + 8/11*y**2 - 2/11*y**3.
-2*y*(y - 2)**2/11
What is y in 32*y + 4*y**3 - 35*y**2 + 26*y**2 - 19*y**2 + 26 + 38 = 0?
-1, 4
Factor -v - 6/5 + 2/5*v**2 + 1/5*v**3.
(v - 2)*(v + 1)*(v + 3)/5
Let z(h) be the third derivative of 2/7*h**3 - 1/210*h**5 - 2*h**2 + 0 + 10*h - 1/84*h**4. Factor z(c).
-2*(c - 2)*(c + 3)/7
Let o(s) = -s**4 - 7*s**3 + 20*s**2 - 12*s - 3. Let w(l) = l**3 - l**2 - 1. Let y(j) = -o(j) + 3*w(j). Factor y(h).
h*(h - 1)**2*(h + 12)
Let a = 36 + -51. Let w = 17 + a. Find d, given that -w*d**4 - d - d**4 - 5*d**2 - 4*d**2 - 2*d - 9*d**3 = 0.
-1, 0
Suppose 5*c - 17 = -22. Let v be (c + -1)/(2 + (-12)/5). Factor -2/9*q**v + 4/9*q**2 + 0 + 2/9*q + 0*q**3 - 4/9*q**4.
-2*q*(q - 1)*(q + 1)**3/9
Let i(v) be the third derivative of -v**8/60480 - v**7/3780 - v**6/720 + v**5/4 - 3*v**2. Let n(y) be the third derivative of i(y). Let n(j) = 0. What is j?
-3, -1
Let f = -9 + 10. Suppose -3*w + j + f = -4, -4*w = -3*j. Factor 3 + 0*q**3 - w*q**2 - 3*q**3 + q**2 + 3*q - q**2.
-3*(q - 1)*(q + 1)**2
Let u(t) be the first derivative of t**4/44 + 7*t**3/33 + 3*t**2/11 - 292. Factor u(q).
q*(q + 1)*(q + 6)/11
Let a(c) be the third derivative of c**5/20 + 17*c**4 + 2312*c**3 + 6*c**2. Factor a(j).
3*(j + 68)**2
Let q(x) be the second derivative of -x**8/3360 + x**6/360 - x**4/6 - 6*x. Let d(b) be the third derivative of q(b). Factor d(g).
-2*g*(g - 1)*(g + 1)
Let v(h) be the first derivative of 3*h**5/5 + 15*h**4/4 - 22*h**3 + 24*h**2 - 111. Factor v(k).
3*k*(k - 2)*(k - 1)*(k + 8)
Factor 53/2*u**2 + 38*u +