t -t**4 - p*t**2 + 3*t - 13*t**3 + 8*t**3 - 3*t = 0. What is t?
-4, -1, 0
Let b be (-16)/(-7) - 6/21. Let x = 1/5834 - -23333/17502. Find c such that 2/3*c**b - 2 + x*c = 0.
-3, 1
Let f(s) = -4*s**2 + 142*s - 174. Let d(o) = 3*o + 3. Let q(t) = -6*d(t) - f(t). Factor q(p).
4*(p - 39)*(p - 1)
Let u = 5014 + -5009. Suppose -2*c = 4*k - 2 - 8, 3*k + 3*c - 9 = 0. Find p such that 9/7*p**3 + 0 + 0*p + 0*p**4 - 12/7*p**u + 3/7*p**k = 0.
-1/2, 0, 1
Let y(k) be the first derivative of k**4/20 + 2*k**3/3 - 11*k**2/10 + 139. Suppose y(w) = 0. What is w?
-11, 0, 1
Let u(f) = f**2 + 11*f. Let v(t) = -t**2 - 119*t + 294. Let o(q) = 2*u(q) - v(q). Determine b, given that o(b) = 0.
-49, 2
Let i(x) be the first derivative of -x**5/360 + x**3/36 + 13*x**2/2 - 20. Let a(u) be the second derivative of i(u). Factor a(k).
-(k - 1)*(k + 1)/6
Let w be (-5)/(-40)*2 - (-10)/(-8). Let l be ((-1)/2)/w*(-80)/(-100). Factor -4/5*j**2 - 2/5*j**5 + l*j**4 + 4/5*j**3 + 2/5 - 2/5*j.
-2*(j - 1)**3*(j + 1)**2/5
Factor -5*h**3 - 5*h**4 - 1963 + 35*h**2 + 20*h + 1993 + 45*h.
-5*(h - 3)*(h + 1)**2*(h + 2)
Let a(z) = z**3 - 8*z**2 + 3*z - 19. Let v be a(8). Factor v*i - 12*i**2 + 12*i**3 + i**4 - i - 4*i**4 - i**4.
-4*i*(i - 1)**3
Let r(j) be the first derivative of -j**5/200 - j**4/40 + j**2/5 - 6*j + 1. Let g(k) be the first derivative of r(k). Let g(h) = 0. Calculate h.
-2, 1
Let x(n) be the third derivative of -n**5/15 - 7*n**4/3 + 64*n**3/3 - n**2 - 19*n. Find q, given that x(q) = 0.
-16, 2
Let y = 7/325 - -11/25. Let d = y - -27/26. Determine t, given that -1/2*t**4 + 1/2*t**3 - 1/2*t + d*t**2 - 1 = 0.
-1, 1, 2
Let b(w) = 7*w**3 - 17*w + 2. Let g(i) = 20*i**3 - 49*i + 7. Let u(h) = 11*b(h) - 4*g(h). What is l in u(l) = 0?
-2, 1
Let b(v) be the first derivative of -v**3/12 + v**2/2 - 3*v/4 - 263. Factor b(r).
-(r - 3)*(r - 1)/4
Let n(r) be the third derivative of 0*r - 5*r**2 + 0*r**3 + 0 + 0*r**5 - 1/24*r**6 + 5/24*r**4. Solve n(d) = 0.
-1, 0, 1
Let d(a) be the third derivative of -a**6/420 - 17*a**5/210 + 3*a**4/14 - 275*a**2. Determine f so that d(f) = 0.
-18, 0, 1
Let d(r) be the second derivative of -9*r**5/5 - 31*r**4 - 638*r**3/3 - 726*r**2 - 7*r + 9. Solve d(c) = 0 for c.
-11/3, -3
Suppose 3*d - 4 = d. Let z = 1 + d. Factor y**2 + 3*y**2 - 8*y**2 + z*y**3 + 7*y**2 + y + y**4.
y*(y + 1)**3
Suppose 11*y = 6*y. Suppose o + 0*o - 83 = y. Factor -2*g + o*g**5 - 82*g**5 + 2*g**2 + g - 2*g**4.
g*(g - 1)**3*(g + 1)
Suppose 3*y = 4 - 4. Suppose y = -8*g + 15*g - 42. What is z in -3*z - g*z**2 + 3/2*z**4 + 9/2 + 3*z**3 = 0?
-3, -1, 1
Let k(n) be the third derivative of 28*n**2 + 0 - 1/14*n**4 + 0*n - 1/1470*n**7 - 1/140*n**6 - 2/21*n**3 - 13/420*n**5. Suppose k(c) = 0. What is c?
-2, -1
Determine k, given that -16/7*k - 6/7*k**2 + 8/7 + 4/7*k**4 + 10/7*k**3 = 0.
-2, 1/2, 1
Let z(u) be the third derivative of 1/16*u**4 + 0*u + 0 - 10*u**2 - 1/240*u**5 + 0*u**3. Factor z(g).
-g*(g - 6)/4
Let m = -4861/3 + 1623. Suppose 20/3*v**2 - m*v - 2*v**3 - 16/3 = 0. Calculate v.
-2/3, 2
Let o(t) = -8*t**2 + 24*t + 2. Let f be o(2). Suppose -f = -2*q - 5*z, z = 3*q + 4 - 14. What is c in 3*c**3 - 9/7*c**q + 0*c + 0 - 6/7*c**2 = 0?
0, 1/3, 2
Let y(z) = -7*z**2 - 21*z + 280. Let s be y(5). Factor -8/3*d - 2*d**3 - 16/3*d**2 + s.
-2*d*(d + 2)*(3*d + 2)/3
Let a = 11 - 7. Suppose -i - a = -4*u, 2*i - 12 = -0*u - 2*u. Factor -2*d**2 - 8*d**i - d**3 - d**3 + 0*d**2 + 2*d**5 + 10*d**4.
2*d**2*(d - 1)*(d + 1)**2
Let i be -2*(-2)/(-3 + 5). Let n = -1376 - -4130/3. Determine z, given that -2/3*z**i + 2/3*z + n - 2/3*z**3 = 0.
-1, 1
Suppose -32*u + 14 = -27*u + 2*z, 21 = 3*u - 3*z. Let g(d) be the second derivative of 10*d + 0 + 1/24*d**u + 4*d**2 - 2/3*d**3. Factor g(l).
(l - 4)**2/2
Let r(g) be the first derivative of -4*g**3/3 - 40*g**2 - 76*g - 82. Factor r(t).
-4*(t + 1)*(t + 19)
Let w(k) be the first derivative of -5/2*k**2 + 0*k - 1/300*k**5 + 0*k**3 + 0*k**4 + 6. Let r(m) be the second derivative of w(m). Factor r(p).
-p**2/5
Let r(b) be the third derivative of b**9/2268 + b**8/1260 - b**7/630 - b**6/270 - 5*b**3/6 - 5*b**2. Let n(t) be the first derivative of r(t). Factor n(q).
4*q**2*(q - 1)*(q + 1)**2/3
Let i(y) = -2*y + 5. Let m be i(-12). Let u = m + -25. Determine d, given that 4*d**4 - 5*d**5 - 8*d**2 + 6*d**u + 5*d - 2*d**2 = 0.
-1, 0, 1
Let y(g) = 5*g**2 + g. Let j be y(1). Suppose -j + 26 = 5*l. Suppose 7*i**2 - 3*i + 5*i - l*i - 5*i**3 = 0. What is i?
0, 2/5, 1
Suppose 165*w + 3*w - 937 + 265 = 0. Let d be (5 - 2)/(0 + 1). Determine m so that 0 + 0*m**d - 2/7*m**w + 0*m + 2/7*m**2 = 0.
-1, 0, 1
Let s(l) be the second derivative of 1/180*l**6 + 11*l - 1/72*l**4 + 0*l**2 - 1/12*l**3 + 0 + 1/40*l**5. Factor s(c).
c*(c - 1)*(c + 1)*(c + 3)/6
Let c(x) be the first derivative of 0*x - 11 + 0*x**2 - 2/27*x**3 - 1/27*x**6 + 2/45*x**5 + 1/18*x**4. Find n such that c(n) = 0.
-1, 0, 1
Let h(i) be the first derivative of i**6/30 + 9*i**5/40 + i**4/4 - i**3 + 19. Let m(l) be the third derivative of h(l). Factor m(y).
3*(y + 2)*(4*y + 1)
Suppose 201*d - 3 = 200*d. Factor 2/15*k**d + 0 + 2/15*k - 4/15*k**2.
2*k*(k - 1)**2/15
Let v = -143/2010 + 7/67. Let u(p) be the second derivative of -1/5*p**2 + 0 - 8*p - 2/15*p**3 - v*p**4. Factor u(c).
-2*(c + 1)**2/5
Let q(s) be the first derivative of -10 - 5/3*s**3 - 5*s**2 - 5*s. Factor q(n).
-5*(n + 1)**2
Factor -18/5*w + 0 + 2/5*w**2.
2*w*(w - 9)/5
Factor 578*a + 83*a**2 - 66*a**3 + 396*a**4 - 111*a**2 - 100*a**2 - 398*a**4 - 382*a**2.
-2*a*(a - 1)*(a + 17)**2
Let q be 14 + 1 - (-2 - 1). Suppose -q + 27 = 3*z. What is f in 0*f + 0*f**2 + 1/4*f**4 - 1/4*f**z + 0 = 0?
0, 1
Let b(s) = s**2 - 12*s + 24. Let d be b(10). Suppose 12*a**2 - 16*a - d*a**2 + 32 - 6*a**2 = 0. Calculate a.
4
Let f = 81 - 40. Let j = 46 - f. Let w(l) = -4*l**2 - 11*l + 27. Let v(u) = 3*u**2 + 7*u - 18. Let q(d) = j*w(d) + 7*v(d). Determine c so that q(c) = 0.
3
Let u(t) = -t**2 - 2*t - 1. Let h(a) = -60*a - 125. Let m(v) = h(v) - 5*u(v). Solve m(w) = 0.
-2, 12
Let o(b) be the second derivative of -12*b - 1/15*b**6 + 2/3*b**3 - 5/6*b**4 + 2/5*b**5 + 0*b**2 + 0. Factor o(g).
-2*g*(g - 2)*(g - 1)**2
Let w be ((-304)/56 - -5)/(0 - (-25)/(-35)). Find m, given that -3/5*m**2 - w*m + 6/5 = 0.
-2, 1
Let k(y) be the second derivative of -y**5/4 - 10*y**4/3 + 155*y**3/6 - 55*y**2 + y + 53. Find d such that k(d) = 0.
-11, 1, 2
Let q be 1*23/7 + 118/(-413). Let -2/11*s + 4/11*s**q - 4/11*s**4 - 4/11 - 2/11*s**5 + 8/11*s**2 = 0. What is s?
-2, -1, 1
Suppose 8 = -17*y + 15*y. Let m(n) = 53*n**2 - 149*n + 36. Let d(w) = 18*w**2 - 50*w + 12. Let t(g) = y*m(g) + 11*d(g). Suppose t(v) = 0. What is v?
2/7, 3
Let j(v) be the third derivative of 2/27*v**5 + 0*v + 20*v**2 + 0 + 2/135*v**6 + 1/27*v**3 + 17/216*v**4. Let j(c) = 0. Calculate c.
-2, -1/4
Factor -2/3*h**2 - 2/3*h**3 - 2 + 10/3*h.
-2*(h - 1)**2*(h + 3)/3
Let h(u) be the second derivative of -3/20*u**5 + u - 1/10*u**6 + 0*u**2 + 0*u**3 + 1/2*u**4 + 0. Factor h(p).
-3*p**2*(p - 1)*(p + 2)
Suppose w - 8*v - 6 = -7*v, -3*w + 4*v + 20 = 0. Let q be (-21)/(-6) + -1 - 2. Factor -q*z**2 + 0*z + 1/4*z**3 + 1/4*z**w + 0.
z**2*(z - 1)*(z + 2)/4
Let o = -125 + 127. Let c(g) = g**2 + 2*g + 2. Let i be c(-2). Factor -1/3*m**i - 3 - o*m.
-(m + 3)**2/3
Let z = -13411/4 + 3424. Let p = -71 + z. Factor 0*q + p*q**3 + 0 + 1/4*q**4 - 1/2*q**2.
q**2*(q - 1)*(q + 2)/4
Suppose 0 = -33*i - 21*i. Let n(j) be the third derivative of i*j**4 + 0 + 5*j**2 - 1/30*j**5 + 0*j + 1/3*j**3. Factor n(t).
-2*(t - 1)*(t + 1)
Let x(g) = -g**2 + 1. Let y(f) = 3*f**2 - 8*f - 11. Let z(m) = x(m) - y(m). Factor z(r).
-4*(r - 3)*(r + 1)
Let m be (-8)/12 - (-11)/3. Suppose -26*v**3 + 12 + 7*v**2 + 24*v - 3*v**4 + 39*v**3 - 19*v**m + 2*v**2 = 0. What is v?
-2, -1, 2
Factor 0 - 22/7*h - 2/7*h**2.
-2*h*(h + 11)/7
Suppose 0 = 93*j - 102*j + 18. Factor 4/5*q**3 + 12/5*q + 12/5*q**j + 4/5.
4*(q + 1)**3/5
Suppose 0 - g - 1/3*g**3 + 5/6*g**4 - 13/6*g**2 = 0. Calculate g.
-1, -3/5, 0, 2
Let n(a) = -a - 5. Let c(r) = -r**3 - 18*r**2 - 15*r + 26. Let j be c(-17). Let l be n(j). Factor -2/3*y**2 - 2/3*y**l + y - 1/3*y**5 - 1/3 + y**4.
-(y - 1)**4*(y + 1)/3
Let f(k) be the first derivative of k**7/28 - 3*k**5/20 + k**3/4 - 27*k + 11. Let v(b) be the first derivative of f(b). What is r in v(r) = 0?
