(t).
-3*(t - 4)*(t - 1)
Factor -6*d**2 - 45 + d**2 - 244*d + 194*d.
-5*(d + 1)*(d + 9)
Find h such that 0 + 8/3*h + 2/3*h**3 + 10/3*h**2 = 0.
-4, -1, 0
Let v(n) = -n**4 - 15*n**3 + 24*n**2 - 8*n + 4. Let x(p) = -10*p**4 - 135*p**3 + 215*p**2 - 70*p + 35. Let g(l) = 35*v(l) - 4*x(l). Factor g(r).
5*r**2*(r - 1)*(r + 4)
Suppose 66*v**2 + 0 - 27/2*v - 201/2*v**3 + 42*v**4 + 6*v**5 = 0. Calculate v.
-9, 0, 1/2, 1
Factor -1778*h**2 + 86*h - 69 + 1777*h**2 - 1780.
-(h - 43)**2
Suppose 2 = 7*x - 19. Suppose -9*b**2 + 12 + 340*b + 3*b**x - 340*b = 0. Calculate b.
-1, 2
Let b(d) be the first derivative of d**6/180 - d**5/30 - d**4/4 + 8*d**3/3 + 4*d - 46. Let y(r) be the third derivative of b(r). Factor y(m).
2*(m - 3)*(m + 1)
Let m(c) = 24*c + 14. Let u(r) = -2*r**2 + 50*r + 27. Let x(n) = 5*m(n) - 2*u(n). Suppose x(q) = 0. What is q?
-4, -1
Let i(a) be the third derivative of a**8/336 + a**7/70 - 7*a**6/120 - 11*a**5/60 + a**4/4 + 4*a**3/3 - 284*a**2. Let i(h) = 0. What is h?
-4, -1, 1, 2
Let o(j) be the third derivative of -2*j**6/3 + 50*j**5/3 - 485*j**4/24 + 10*j**3 + 87*j**2 - 3. Factor o(v).
-5*(v - 12)*(4*v - 1)**2
Let z be 1 - -1 - 64/16. Let w(k) = k**2 - k - 2. Let v be w(z). Let 0*u - 22/9*u**3 - 4/9*u**2 + 0 - 32/9*u**v - 14/9*u**5 = 0. Calculate u.
-1, -2/7, 0
Suppose -3*b - 4 = 4*h, 4*b + 31 = -h + 43. Let l(i) be the third derivative of 0*i**b - 1/60*i**6 + 0*i**5 + 0*i + 0 - i**2 + 0*i**3 + 1/105*i**7. Factor l(f).
2*f**3*(f - 1)
Let l be 0/15 + 6/2. Factor -6*v**5 - 3*v**4 + l*v - 2*v**3 + 0*v**2 + 5*v**5 + 2*v**2 + 1.
-(v - 1)*(v + 1)**4
Suppose 4*h + 2*h - 210 = 0. Let f be h/11 - (0 + 3). Solve -f*i + 2/11*i**2 + 0 = 0.
0, 1
Suppose -14/13*c**2 + 2/13*c**3 + 24/13 + 8/13*c = 0. Calculate c.
-1, 2, 6
Let v = 50 + -50. Suppose -5*x + 25 = v, 5*t = -5*x + 9 + 26. Let -1/4*i**t + 3/4*i + 0 = 0. What is i?
0, 3
Let k(j) be the first derivative of j**3 - 183*j**2/2 - 378*j - 530. What is i in k(i) = 0?
-2, 63
Let r(o) = 2*o**3 - 2*o**2 - 58*o - 10. Let g be r(6). Let f = -5 + 9. Suppose 5/4*m**g + 0 - 3/4*m**3 - 5/4*m**f - 1/4*m + m**5 = 0. Calculate m.
-1, 0, 1/4, 1
Determine k, given that 240*k**2 - 840*k**3 + 0 + 476*k**5 + 32/3*k - 1780/3*k**4 = 0.
-1, -2/51, 0, 2/7, 2
Let c be 4/6 + 30/9. Suppose -13*n + 11*n = -c. Suppose 10*z - 8*z + 4*z**2 + z**3 - z**n = 0. What is z?
-2, -1, 0
Let d(a) be the first derivative of a**6/11 - 14*a**5/11 + 93*a**4/22 + 142*a**3/33 - 96*a**2/11 - 72*a/11 + 320. Let d(k) = 0. Calculate k.
-1, -1/3, 1, 6
Let y(g) = -g**5 - 7*g**4 + 11*g**3 + 53*g**2 + 36*g - 2. Let p(v) = -2*v**4 - v**3 + v**2 - 1. Let k(n) = 2*p(n) - y(n). Suppose k(l) = 0. Calculate l.
-3, -1, 0, 4
Let b(o) = -o**3 + 2*o**2 + 5*o - 3. Let n be b(3). Suppose 0*y + n*y = y. Find h, given that 2/3*h**5 + 0*h + 2/3*h**4 - 2/3*h**2 - 2/3*h**3 + y = 0.
-1, 0, 1
Solve -36/13*g**4 + 2/13*g**5 + 96/13*g**3 + 30/13*g - 92/13*g**2 + 0 = 0.
0, 1, 15
Let x(q) = 3*q**2 + 3*q - 21. Let d(i) = 2*i**2 - 20. Let m(b) = 5*d(b) - 4*x(b). Factor m(h).
-2*(h + 2)*(h + 4)
Factor -40 - 34824*b**2 + 19*b - 20*b**3 + 34839*b**2 - 5*b**4 + 31*b.
-5*(b - 1)**2*(b + 2)*(b + 4)
Suppose -2*g + 36 = g. Suppose 0 = 3*p - g. Let 2*z**2 + p*z - 6*z - 4*z + z**2 = 0. Calculate z.
0, 2
Let t(o) be the first derivative of 2*o**5/5 - 12*o**3 + 162*o - 148. Determine r, given that t(r) = 0.
-3, 3
Factor 60*a**2 - 31*a**2 - 33*a - 32*a**2 + 36.
-3*(a - 1)*(a + 12)
Let d be (10/4)/(((-1)/((-8)/30))/3). Determine k so that 2/9*k**3 + 2/9*k**d - 8/9 - 8/9*k = 0.
-2, -1, 2
Let f(i) be the first derivative of 5*i**3/3 - 225*i**2/4 + 55*i - 125. Determine x, given that f(x) = 0.
1/2, 22
Suppose -12 = 2*h + 2. Let u be (h/49)/(18/(-21)). Factor 0*b**2 + 0*b + 0 - 1/3*b**4 + 1/6*b**3 + u*b**5.
b**3*(b - 1)**2/6
Let r = 425 + -422. Let f(z) be the third derivative of -1/16*z**4 + 1/40*z**5 + 0 - 1/240*z**6 + 0*z + 1/12*z**r + z**2. Let f(p) = 0. What is p?
1
Suppose 784 = 26*a + 680. Solve 10/3*d**2 - 10/3*d**3 + 8/3*d - 2/3*d**a + 2/3*d**5 - 8/3 = 0.
-2, -1, 1, 2
Let l be (-9)/(-3)*(-30)/(-9). Suppose l = 5*z - 2*i, 6*i = 5*z + 2*i. Let 3 - 9 + 2 + 4*f**3 - 4*f - z + 8*f**2 = 0. Calculate f.
-2, -1, 1
Let l be (2/(-10) - 1)/((-6)/20). Let z(n) be the first derivative of 3/4*n**l + 0*n - n**3 + 1 - 3*n**2. Factor z(a).
3*a*(a - 2)*(a + 1)
Let d(k) = k**2 + 6*k + 3. Let a(i) = -i**2 - 1. Let n(v) = -v**2 - 1. Let s(z) = 4*a(z) - 5*n(z). Let q(t) = d(t) - 3*s(t). Factor q(l).
-2*l*(l - 3)
Let m(v) be the third derivative of -7/16*v**4 + 0*v + 1/2*v**3 + 1/140*v**7 - 1/16*v**6 + 9*v**2 + 9/40*v**5 + 0. Solve m(q) = 0 for q.
1, 2
Let g(y) be the first derivative of -y**5/5 - 73*y**4/4 + 25*y**3 + 73*y**2/2 - 74*y + 987. Factor g(o).
-(o - 1)**2*(o + 1)*(o + 74)
Suppose 2*n + 5*s - 45 = 0, -3*s + 0*s = -15. Let t(j) be the third derivative of 2/105*j**5 + 0*j + 0 + 5/84*j**4 - n*j**2 + 1/21*j**3. Factor t(o).
2*(o + 1)*(4*o + 1)/7
Let j be (180/(-2))/(6/76). Let z = -3388/3 - j. Factor -z*p - 64/3 - 4/3*p**2.
-4*(p + 4)**2/3
Suppose 665*d - 663*d - 8 = 0. Let g(s) be the third derivative of -1/30*s**5 + 5*s**2 + 0*s + 0 - 1/6*s**d + 1/60*s**6 + 0*s**3. Find c, given that g(c) = 0.
-1, 0, 2
Let j = -305 + 307. Factor -j*q**3 + 0 + 16/5*q**2 - 6/5*q.
-2*q*(q - 1)*(5*q - 3)/5
Let p(m) be the third derivative of -m**5/330 - 4*m**4/33 + 12*m**3/11 + 166*m**2. Solve p(a) = 0.
-18, 2
Factor 6749*u**4 + 6*u**3 - 6739*u**4 + 10*u**3 + 2*u**2 - 4*u.
2*u*(u + 1)**2*(5*u - 2)
Let f(w) be the first derivative of w**4/30 + 8*w + 9. Let r(t) be the first derivative of f(t). Find g such that r(g) = 0.
0
Let i = -53 + 57. Let g(m) = -m**2 + 7*m - 12. Let d be g(i). Find r, given that 23/4*r**2 + d*r - 3/4*r**5 + 17/4*r**4 - 1 - 33/4*r**3 = 0.
-1/3, 1, 2
Suppose -5*i + 5*h + 25 = 0, -4*h - 18 - 2 = -i. Factor -1/2*o**2 + i*o + 3/2*o**3 + 2*o**4 + 0.
o**2*(o + 1)*(4*o - 1)/2
Let d(m) be the first derivative of 3*m**4/4 + 2. Find o, given that d(o) = 0.
0
Let k(j) be the third derivative of -j**8/336 + 16*j**7/105 + 67*j**6/120 + 17*j**5/30 + 133*j**2. Factor k(b).
-b**2*(b - 34)*(b + 1)**2
Let x(u) = 277*u + 5267. Let s be x(-19). Factor 6/17*g**3 + 2/17*g**s - 6/17*g + 0 - 2/17*g**2.
2*g*(g - 1)*(g + 1)*(g + 3)/17
Let x(r) be the second derivative of -r**6/120 + 11*r**5/80 - 17*r**4/24 + r**3 - 2*r - 155. Factor x(p).
-p*(p - 6)*(p - 4)*(p - 1)/4
Let k = 14942/15 + -996. Find s, given that 4/3*s**2 - 2/15*s**5 + k + 2/3*s**4 - 2/3*s - 4/3*s**3 = 0.
1
Let m = -7 - -7. Let s = 7 + m. Let t(w) = 5*w**3 + w**2 + 3*w - 1. Let a(u) = 9*u**3 + u**2 + 6*u - 2. Let r(b) = s*t(b) - 4*a(b). Factor r(v).
-(v - 1)**3
Let z(h) be the second derivative of -h**6/360 - h**5/120 + h**4/4 - 3*h**3 + 9*h. Let x(k) be the second derivative of z(k). Factor x(u).
-(u - 2)*(u + 3)
Let f(i) be the second derivative of i**7/168 + i**6/60 - 3*i**5/40 - i**4/12 + 13*i**3/24 - 3*i**2/4 + 470*i. Determine u so that f(u) = 0.
-3, -2, 1
Let b = 155 + -772/5. Factor -12/5*f + b*f**2 + 9/5.
3*(f - 3)*(f - 1)/5
Let y(i) be the second derivative of -i**4/6 + 16*i**3/3 + 36*i**2 + 740*i. What is t in y(t) = 0?
-2, 18
Let b = 295 + -203. Let q = b + -92. Factor -3/4*o + q - 3/4*o**2.
-3*o*(o + 1)/4
Let u(w) be the second derivative of -1/4*w**5 + 5/6*w**3 + 0*w**2 + 0*w**4 + 16*w + 0. Factor u(p).
-5*p*(p - 1)*(p + 1)
Factor -2/9*h**4 - 10/3*h**2 - 8/9 + 26/9*h + 14/9*h**3.
-2*(h - 4)*(h - 1)**3/9
Let c(a) be the first derivative of 4*a**3 + 1/390*a**5 + 1/2340*a**6 - 9 + 0*a + 0*a**2 + 1/156*a**4. Let s(g) be the third derivative of c(g). Factor s(n).
2*(n + 1)**2/13
Let c(l) be the second derivative of 0*l**3 + 0*l**2 - 1/60*l**6 + 0*l**4 - 2*l + 0 - 3/40*l**5. Factor c(y).
-y**3*(y + 3)/2
Let m(c) be the third derivative of 1/1344*c**8 + 0*c**7 + 0 + 1/120*c**5 + 0*c**4 - 1/160*c**6 + 0*c + 0*c**3 - 2*c**2. Factor m(o).
o**2*(o - 1)**2*(o + 2)/4
Let u(d) be the second derivative of -37*d - 1/18*d**3 - 1/18*d**4 + 1/126*d**7 + 1/45*d**6 + 0*d**2 + 0*d**5 + 0. Factor u(f).
f*(f - 1)*(f + 1)**3/3
Let w(i) = -18*i + 18*i + 3*i**2 - 2*i**2 - 4. Let j be w(2). Suppose -1/4*l**3 - 1/2*l**4 - 1/4*l**5 + 0*l + 0*l**2 + j = 0. What is l?
-1, 0
Let l be (8/15)/((-19)/(-171)). Factor l - 28/5*k - 12/5*k**2.
-4*(k + 3)*(3*k - 2)/5
Let x(y) be the 