140*q**2 + 74*q - 14. Let k(a) = -3*l(a) + 14*x(a). Factor k(o).
4*o*(o - 3)*(o - 1)**2
Suppose 5*f = 19 + 11. Let 5*n**3 + 2*n + 14*n + 11*n**2 + 4*n**2 - f*n = 0. Calculate n.
-2, -1, 0
Let s(b) = b**3 + 25*b**2 + 27*b + 9. Let t(k) = k**3 + 50*k**2 + 53*k + 19. Let y(j) = -5*s(j) + 2*t(j). Factor y(p).
-(p + 1)*(p + 7)*(3*p + 1)
Let s(v) be the third derivative of -1/21*v**7 + 0*v**3 + 1/6*v**6 + 0 - 34*v**2 + 5/1008*v**8 - 2/9*v**5 + 0*v**4 + 0*v. Determine p, given that s(p) = 0.
0, 2
Let t = 338/795 + -4/159. Factor 4/5*h - t - 2/5*h**2.
-2*(h - 1)**2/5
Let k(q) be the first derivative of q**6/60 + 9*q**5/50 - q**4/40 - 61*q**3/30 + 21*q**2/5 - 16*q/5 - 136. Factor k(u).
(u - 1)**3*(u + 4)*(u + 8)/10
Let t(d) = d**3 - 7*d**2 + 24*d - 108. Let y be t(6). Solve y*j - 2/15*j**4 + 2/15*j**3 + 4/15*j**2 + 0 = 0.
-1, 0, 2
Let j(p) be the first derivative of -2*p**5/25 - 3*p**4/10 - 2*p**3/5 - p**2/5 + 145. Solve j(y) = 0 for y.
-1, 0
Let m = -8454 - -8454. Solve -1/9*x**4 + 0*x + m + 0*x**3 + 1/9*x**2 = 0 for x.
-1, 0, 1
Let o(u) be the third derivative of -u**8/8640 + u**7/1680 - u**6/1080 + u**5/15 + 18*u**2. Let a(y) be the third derivative of o(y). Solve a(i) = 0 for i.
2/7, 1
Let c(o) be the third derivative of -1/8*o**6 + 14*o**2 + 0*o + 0 - 25/24*o**4 - 7/12*o**5 - 5/6*o**3. Let c(m) = 0. What is m?
-1, -1/3
Let z(s) = 2*s**2 + 66*s + 68. Let r be z(-32). Let f(j) be the first derivative of -14*j**3 + 8*j + j**4 + 14/5*j**5 + r + 8*j**2. Factor f(q).
2*(q - 1)**2*(q + 2)*(7*q + 2)
Find a, given that -58/3*a + 2/3*a**3 + 8/3*a**2 + 16 = 0.
-8, 1, 3
Let v(f) be the second derivative of f**4/66 - 14*f**3/33 + 49*f**2/11 - 86*f. Factor v(d).
2*(d - 7)**2/11
Let u(m) be the first derivative of -m**5/80 + m**4/48 + m**3/24 - m**2/8 - 3*m + 35. Let g(y) be the first derivative of u(y). Factor g(n).
-(n - 1)**2*(n + 1)/4
Let f(p) = 22*p**2 - 4409*p + 609408. Let t(s) = 10*s**2 - 2205*s + 304704. Let d(v) = -3*f(v) + 7*t(v). Factor d(c).
4*(c - 276)**2
Let k(y) be the third derivative of -y**7/1995 - 4*y**6/57 - 253*y**5/95 + 820*y**4/57 - 1681*y**3/57 - 889*y**2. Factor k(d).
-2*(d - 1)**2*(d + 41)**2/19
Let m(v) be the first derivative of -2*v**5/25 + 3*v**4/10 + 64*v**3/15 + 12*v**2 + 64*v/5 - 39. Suppose m(t) = 0. Calculate t.
-2, -1, 8
Let k be (2/(-17) + 210/(-816))/((-2)/16). Let -8/7*h**k - 4/7*h - 2/7*h**4 + 0 - 10/7*h**2 = 0. What is h?
-2, -1, 0
Suppose -25*j + 31*j - 30 = 0. Let d(h) be the first derivative of -1/6*h**3 + 0*h**4 + 0*h + 1/10*h**j + 0*h**2 + 4. Factor d(i).
i**2*(i - 1)*(i + 1)/2
Suppose t - 5 = -5*d, 2*t - 10 = -d + 2*d. Solve -t*l - 16 + 2*l - l**2 - 5*l = 0.
-4
Let a(q) be the third derivative of 1/120*q**6 + 0*q + 6*q**2 + 1/8*q**4 + 1/20*q**5 + 1/6*q**3 + 0. Factor a(l).
(l + 1)**3
Let s(m) be the first derivative of 10 - 85/2*m**2 + 10*m**3 - 15*m. Find q, given that s(q) = 0.
-1/6, 3
Suppose -3*p = -5*p + 80. Factor -p*o - 12*o**2 + 12*o**2 + 30*o**2 - 5*o**3.
-5*o*(o - 4)*(o - 2)
Let w be (-4 - (1 + 0))*-1. Let d be ((-1)/(-4))/(w - (7 + -3)). Factor -1/2*j**4 + 3/4*j**3 + 0*j**2 - d*j + 0.
-j*(j - 1)**2*(2*j + 1)/4
Let c be (-114)/9 + 6 + 7. Suppose 2/3*o + c*o**2 + 0 = 0. What is o?
-2, 0
Let t(j) be the third derivative of 1/24*j**6 + 5/12*j**3 - 5/672*j**8 - 1/12*j**5 + 0 + 1/84*j**7 + 0*j - 2*j**2 - 5/48*j**4. Suppose t(z) = 0. Calculate z.
-1, 1
Let u = -215 + 869/4. Determine s so that 0 + u*s**2 - 1/2*s - 3*s**3 + s**4 = 0.
0, 1/2, 2
Let y = -133 - -67. Let c = y + 68. Suppose 4/13 + 2/13*r - 2/13*r**c = 0. What is r?
-1, 2
Let y(v) be the first derivative of -v**5/20 + v**4/4 + 3*v**3/2 - 15*v**2/2 - 1. Let m(i) be the second derivative of y(i). Factor m(r).
-3*(r - 3)*(r + 1)
Let p = 70131/11 - 6375. Let 2/11*z**2 - p - 4/11*z = 0. Calculate z.
-1, 3
Suppose 13*j - 56 - 9 = 0. Suppose 5*q + 3*n - 12 = 0, 6*q + 4*n + 1 = j*q. Factor 0 + 1/5*m**5 + 0*m - 1/5*m**q + 0*m**4 + 0*m**2.
m**3*(m - 1)*(m + 1)/5
Let w(p) = 22*p**4 + 308*p**3 + 846*p**2 - 24*p - 1128. Let a(f) = -14*f**4 - 205*f**3 - 564*f**2 + 16*f + 752. Let g(t) = 8*a(t) + 5*w(t). Factor g(o).
-2*(o - 1)*(o + 2)**2*(o + 47)
Let s(z) be the third derivative of -z**7/168 - z**6/72 + 7*z**3/2 - 13*z**2. Let d(a) be the first derivative of s(a). Determine f so that d(f) = 0.
-1, 0
Solve -1/9*y**5 + 23/9*y + 2/9*y**2 - 13/9*y**4 + 11/9 - 22/9*y**3 = 0 for y.
-11, -1, 1
Let f be 374/(-51) - -6*25/15. Determine q so that 0 + f*q - 2/3*q**3 + 2/3*q**4 - 8/3*q**2 = 0.
-2, 0, 1, 2
Let d(o) be the second derivative of -o**7/126 + o**6/90 + o**5/15 - o**4/9 + 2*o - 23. Suppose d(n) = 0. Calculate n.
-2, 0, 1, 2
What is m in 11*m**2 - 17*m**4 + 64 - 58*m**2 - 19*m**5 + 20*m**5 + 79*m**3 - 80*m = 0?
-1, 1, 8
Let x(t) be the second derivative of 31*t**4/16 + 91*t**3/8 - 9*t**2/4 + t + 131. Solve x(o) = 0 for o.
-3, 2/31
Let u(w) be the third derivative of -w**7/105 + w**6/30 + w**5/30 - w**4/6 + w**2 + 7*w. Factor u(p).
-2*p*(p - 2)*(p - 1)*(p + 1)
Let v(c) be the second derivative of -2*c**7/7 + 21*c**6/5 - 1371*c**5/80 + 123*c**4/16 + 79*c**3/4 + 9*c**2 + 27*c. Solve v(k) = 0 for k.
-1/4, 1, 4, 6
Suppose 107*y = 91*y. Solve 44/3*f**4 + y - 8/3*f**2 + 0*f - 20/3*f**3 - 16/3*f**5 = 0 for f.
-1/4, 0, 1, 2
Let x(n) = n**2 - 2*n + 1. Let i be x(1). Suppose -39 = -14*j - 11. Let m**3 + 0*m**2 - m + 0*m**2 + i*m**j = 0. Calculate m.
-1, 0, 1
Let m(v) be the second derivative of -v**5/40 - 37*v**4/24 + 19*v**3/6 - 6*v + 3. Factor m(b).
-b*(b - 1)*(b + 38)/2
Suppose -34 = -5*x + 3*o - 0*o, -48 = -5*x - 4*o. Let r(t) = 3*t**2 - 26*t + 16. Let m be r(x). Factor 0*z + 6*z**3 + m*z**2 + 6*z**4 + 3/2*z**5 + 0.
3*z**3*(z + 2)**2/2
Let t = -52 + 55. What is l in -6*l**3 - 96*l**2 - 64 - 2*l**3 + 128*l + 40*l**t - 4*l**4 = 0?
2
Let q(o) = 2*o**2 + 6*o. Let x(h) = -12*h**2 - 30*h. Let r(p) = 22*q(p) + 4*x(p). Factor r(m).
-4*m*(m - 3)
Let l(n) be the third derivative of -n**8/1176 + n**7/735 + n**6/210 - 60*n**2. Factor l(q).
-2*q**3*(q - 2)*(q + 1)/7
Let t(h) = 2*h**3 + 12*h**2 - 18*h + 6. Let u(r) = 2*r**3 - 1. Let b(w) = t(w) - 2*u(w). Let b(z) = 0. Calculate z.
1, 4
Let m(k) be the second derivative of -k**7/15 + 31*k**6/25 - 48*k**5/25 - 74*k**4/15 + 16*k**3/5 + 535*k. Solve m(v) = 0 for v.
-1, 0, 2/7, 2, 12
Let c = -7211 - -7214. Let g be (5 + 0)/(2 - 1). Factor 3/5*z**g - 3/5 - 6/5*z**c + 6/5*z**2 - 3/5*z**4 + 3/5*z.
3*(z - 1)**3*(z + 1)**2/5
Let 1/3*x**3 + 2/3 - 2/3*x**2 - 1/3*x = 0. Calculate x.
-1, 1, 2
Suppose -32/3*t + 8/3*t**3 + 2*t**4 + 32/3 - 32/3*t**2 = 0. What is t?
-2, 2/3, 2
Suppose 329 = 5*o + p, 2*p - 4 - 126 = -2*o. Let w = o + -327/5. What is a in w*a**2 - 3/5*a + 0 = 0?
0, 1
Let v = 6 + -4. Suppose -z = v*z, 2*z - 8 = -4*r. Solve 7*t**3 + 1 - r*t**2 - 4*t**2 + 3*t**2 - 5*t**3 = 0 for t.
-1/2, 1
Let h(k) = -109*k - 8 - 92*k + 187*k - k**3 - 10*k**2. Let i(q) = 2*q**3 + 21*q**2 + 29*q + 17. Let j(c) = -7*h(c) - 3*i(c). Factor j(u).
(u + 1)**2*(u + 5)
Suppose -820 = -7*g - 78. Let r be g/(-70) + 2 - 3/15. Determine t so that r*t**4 + 0*t + 0 + 2/7*t**2 + 4/7*t**3 = 0.
-1, 0
Let h(b) be the first derivative of 6 + 3/8*b**2 - 1/16*b**4 - 3*b + 3/16*b**3. Let i(a) be the first derivative of h(a). Find w such that i(w) = 0.
-1/2, 2
Let q = -7/24 - -25/24. Let r(y) be the second derivative of 14*y + 0 + 1/4*y**3 - 3/40*y**5 + 1/8*y**4 - q*y**2. Factor r(s).
-3*(s - 1)**2*(s + 1)/2
Let k(h) be the third derivative of h**8/336 - h**7/42 - h**6/120 + h**5/12 + 87*h**2. Determine u so that k(u) = 0.
-1, 0, 1, 5
Let a(y) be the second derivative of y**5/60 - 5*y**4/36 + y**3/6 + 3*y**2/2 + 172*y. What is d in a(d) = 0?
-1, 3
Let t be (168/(-18) - -9) + 14/30. Let g(u) be the first derivative of -2/25*u**5 - 2/5*u**2 + t*u**3 + 0*u - 1/5*u**6 + 1/2*u**4 + 3. Solve g(f) = 0 for f.
-1, 0, 2/3, 1
Let i(l) be the first derivative of -l**3/18 + 25*l**2/6 - 49*l/6 + 30. Determine u so that i(u) = 0.
1, 49
Suppose 185*m - 189*m - 15 = -5*w, 0 = 2*w + 5*m - 6. Suppose 2/3*f**w + 0 - 4/3*f + 2/3*f**5 - 2*f**4 + 2*f**2 = 0. Calculate f.
-1, 0, 1, 2
Let y(q) = q**3 + 4*q**2 - q - 2. Let a be y(-4). Suppose -4*j**4 - 132*j**a + j**4 + 141*j**2 + 6*j = 0. What is j?
-1, 0, 2
Let j(m) = -m**3 - 14*m**2 - 14*m - 7. Let i be j(-13). Suppose 4*u - 6*u = -i. Solve 6*d + 7*d*