at is q?
-1, 0
Let 4*t**4 + 40*t**3 + 96*t**2 - 83*t + 68*t - 25*t - 100 = 0. What is t?
-5, -1, 1
Let x = -6416 - -51445/8. Let p(v) be the second derivative of 3*v**2 + 10*v**3 + 243/40*v**5 + x*v**4 + 6*v + 0. Factor p(n).
3*(n + 1)*(9*n + 2)**2/2
Let q be 5 - 5/(190/(-209)). Solve -3 - 9/2*h**3 - q*h - 12*h**2 = 0.
-1, -2/3
Let r = 47 - 35. Let x be (52/8 + -6)/(2/r). Factor -2/9*j**5 + 16/9*j**2 + 4/9*j**x - 4/9*j**4 + 4/9 + 14/9*j.
-2*(j - 2)*(j + 1)**4/9
Let v(o) = -3*o + 1. Let n(w) = 2*w**2 + 194*w + 3866. Let c(s) = n(s) + 6*v(s). Suppose c(l) = 0. Calculate l.
-44
Factor -57/2*s - 3/4*s**2 - 315/4.
-3*(s + 3)*(s + 35)/4
Let f(p) = -p**4 - p**2 - 3*p + 2. Let u(a) = a**2 + 6*a + 2. Let v be u(-6). Let r(d) = -d**4 - 2*d + 1. Let s(m) = v*f(m) - 3*r(m). Factor s(k).
(k - 1)**2*(k + 1)**2
Suppose 0 = -65*p + 110*p. Find s such that 2/3*s**2 + p*s + 2/3*s**3 + 0 = 0.
-1, 0
Let d = -19 + 19. Let s be 2 + d/(-3 - 0). Determine u so that -18/7*u**4 + 18/7*u**s + 0 - 4/7*u**3 + 4/7*u = 0.
-1, -2/9, 0, 1
Let q(s) be the second derivative of -1/6*s**4 + 2/3*s**3 - 16*s - s**2 + 0. Factor q(a).
-2*(a - 1)**2
Let b(l) = l**2 + 2*l - 11. Let n be b(-5). Determine o, given that 0*o**4 - 6*o**n + 4*o**4 - o**4 + 3*o**2 = 0.
-1, 0, 1
Let s be 21*(3/9)/(-1). Let y = s - -12. Factor 16*k**3 + 6 - 19*k + 42*k**2 - 14*k - 4*k**3 - 48*k**4 + 21*k**y.
3*(k - 1)**3*(k + 1)*(7*k - 2)
Let f(c) be the first derivative of c**6/540 + c**5/135 - c**4/36 + 5*c**2/2 - 32. Let b(p) be the second derivative of f(p). Determine k so that b(k) = 0.
-3, 0, 1
Suppose -3*d = 2*k - 11, -d + 6*d = 5. Suppose 20 = 4*a + 3*f - 0, -k*a = -4*f + 8. Factor 3*p + 0 + 15/2*p**3 - 21/2*p**a.
3*p*(p - 1)*(5*p - 2)/2
Let s(x) = x**3 + 8*x**2 - 3. Let y be s(-8). Let z be y*(-1 + -2 + 2). Let q - z + q + 0 - 12*q**2 + 10*q = 0. Calculate q.
1/2
Let v = -58977/5 - -11796. Suppose -v*f**4 - 9/5*f**3 + 6/5 + 9/5*f - 3/5*f**2 = 0. Calculate f.
-2, -1, 1
Suppose -71 + 17 = -45*h + 81. Factor 4/7*r**h - 8/7*r**2 - 12/7*r + 0.
4*r*(r - 3)*(r + 1)/7
Let k be 3/2*130/39. Let -5 - 4*a + 10*a**2 - 2*a**3 - a + 12*a**3 - 5*a**5 - k*a**4 = 0. What is a?
-1, 1
Let j be (-45)/(-5)*(-21)/(-63). Suppose 10*k**2 + 1/3*k**4 - j*k**3 + 8 - 44/3*k = 0. Calculate k.
2, 3
Suppose -u + 4*v - 6 = -3*u, -2*v = 2*u - 6. Factor -24 + 28*k + 8*k**u + 20*k**2 + 5*k**2 - 10*k**2 + 21*k**2.
4*(k + 2)*(k + 3)*(2*k - 1)
Suppose 3*w - 18 = -3. Let q(c) = 5*c**3 + c**3 - 5*c + 4*c**2 - w*c**3 - 5. Let v(y) = y**2 - y - 1. Let f(l) = -2*q(l) + 10*v(l). Solve f(p) = 0.
0, 1
Let u(l) = -l**3 + 22*l**2 + 91*l + 68. Let j(a) = 45*a**2 + 180*a + 135. Let i(y) = 2*j(y) - 5*u(y). Factor i(p).
5*(p - 7)*(p + 1)*(p + 2)
Let h be -64*(220/5 - -3). Let i = 15136/5 + h. Let 24/5*z**4 - 3/5*z**5 - 72/5*z**3 + i*z**2 - 48/5*z + 0 = 0. Calculate z.
0, 2
Let w(q) be the second derivative of q**7/14 + 13*q**6/10 + 57*q**5/20 - 145*q**4/4 + 88*q**3 - 96*q**2 + q. Suppose w(f) = 0. Calculate f.
-8, 1
Suppose -4*t = -t - 5*k - 11, -5*t + 27 = -4*k. Factor -t*v**4 + 2*v**3 + 5*v**4 - 6*v**3.
-2*v**3*(v + 2)
Let n(l) be the second derivative of l**4/20 + 32*l**3/5 + 1536*l**2/5 - 114*l. Factor n(j).
3*(j + 32)**2/5
Suppose 5*q + i - 36 = 4*i, 2*q - 3*i - 18 = 0. Let l(d) = d**3 - 7*d**2 + 7*d - 2. Let u be l(q). Let -6*y - 6*y + 18*y**2 + 6 - u = 0. What is y?
1/3
What is q in 0*q**3 + 22/5*q**2 - 8/5*q**4 + 4/5 - 18/5*q = 0?
-2, 1/2, 1
Let t(d) = -d - 1. Let j(m) = 64*m**4 - 16*m**3 - 143*m**2 + 12*m + 75. Let g(s) = j(s) - 6*t(s). Let g(v) = 0. Calculate v.
-1, 9/8
Let r = 3131/7815 + -1/1563. Let p(s) be the first derivative of -2/5*s**3 + 1/10*s**4 - 3 + 3/5*s**2 - r*s. Factor p(a).
2*(a - 1)**3/5
Find f such that 1/4*f**2 + 2 - 3/2*f = 0.
2, 4
Let w(c) be the third derivative of c**7/350 - 3*c**6/100 - 7*c**5/100 + 62*c**2 - c. Find g, given that w(g) = 0.
-1, 0, 7
Let h be 16 + -12 + 0/6. Let q(o) be the second derivative of -1/70*o**5 + 1/21*o**3 - o + 1/7*o**2 + 0 - 1/42*o**h. Factor q(s).
-2*(s - 1)*(s + 1)**2/7
Let s(y) be the second derivative of y**6/30 + 7*y**5/20 + y**4/2 + 66*y. Factor s(d).
d**2*(d + 1)*(d + 6)
Let d(x) be the third derivative of -x**8/420 + x**7/70 - 2*x**5/15 + 11*x**3/6 + 13*x**2. Let j(s) be the first derivative of d(s). Let j(k) = 0. Calculate k.
-1, 0, 2
Let r(t) = 2*t**3 - t + 2. Let z(a) = 26*a**3 + 484*a**2 + 5944*a + 2320. Let q(f) = 8*r(f) - z(f). Factor q(o).
-2*(o + 24)**2*(5*o + 2)
What is h in -146/3*h**4 - 500/3*h - 112/3 + 2*h**5 - 586/3*h**3 - 274*h**2 = 0?
-1, -2/3, 28
Let x(m) = -4*m**5 - 6*m**4 + 38*m**3 + 220*m**2 + 274*m. Let d(u) = -u**5 + u**4 + u**3 + 2*u**2 + 2*u. Let a(s) = -4*d(s) + 2*x(s). Factor a(p).
-4*p*(p - 5)*(p + 3)**3
Let r(u) = -20*u**2 + 70*u. Suppose -t = -4*t + 9, 4*t = -5*h + 22. Let f(v) = 3*v**2 - 10*v. Let s(x) = h*r(x) + 15*f(x). Factor s(n).
5*n*(n - 2)
Let d = 0 - -3. Suppose -5*t = a - 3, 0 = 3*a + d*t - 2 - 19. Factor a*r**2 - 11*r**2 + 9*r - 2 - 4.
-3*(r - 2)*(r - 1)
Let a = -49 - -54. Factor -2*m**4 + 3*m**a + 22*m**4 + 6*m**3 - 11*m**4.
3*m**3*(m + 1)*(m + 2)
Suppose -24*g = -127 + 31. Let x(c) be the first derivative of 3/20*c**g + 0*c**2 - 1 + 0*c + 0*c**3. Find s such that x(s) = 0.
0
Let v(j) be the third derivative of -3*j**7/98 - 31*j**6/140 + j**5/20 + 31*j**4/28 + 4*j**3/7 + 289*j**2. Solve v(k) = 0.
-4, -1, -2/15, 1
Suppose 0 = 3*l - 4*w, -13 - 2 = -5*w. Find i such that 17*i**2 + l*i + 25*i**2 - 43*i**2 - 4*i**3 + 2*i**4 - i**4 = 0.
-1, 0, 1, 4
Let h(l) be the third derivative of l**8/6720 - l**7/420 + l**6/60 + l**5/3 - 12*l**2. Let w(c) be the third derivative of h(c). Let w(g) = 0. Calculate g.
2
Let p be (-1)/((-4)/(-4))*-5 + -3. Factor -22*d**2 - 2*d**4 + 6 - 18*d**2 + 52*d**p + 16*d.
-2*(d - 3)*(d + 1)**3
Let p(b) = -b - 2. Let i be (0 + -2 + 1)*5. Let s be p(i). Factor 3*t**4 + t + s*t**5 + 3*t**4 - t.
3*t**4*(t + 2)
Let s be (-1)/(1/(-2) + 0). Suppose 5*c + 19*d + 15 = 14*d, 4*d + 20 = 0. What is n in 1 - 4 - n**3 + c + n**s + n = 0?
-1, 1
Let j be 2 - ((-150)/140 + 40/70). Let 5/2*p**3 - 15/2*p**2 + j*p**4 - 5 - 25/2*p = 0. What is p?
-1, 2
Let i(x) = 5*x**3 - 35*x**2 - 75*x - 35. Let l(u) = -u - 1. Let c = -55 - -56. Let b(n) = c*i(n) + 10*l(n). Find t such that b(t) = 0.
-1, 9
Let o(d) be the second derivative of -1/12*d**3 + 0 - 3/2*d**2 - 1/96*d**4 + 1/240*d**5 - 2*d. Let l(v) be the first derivative of o(v). Factor l(k).
(k - 2)*(k + 1)/4
Suppose 2*v = 6*v - 68. Find z, given that 6*z - 4 - 13*z**3 - 12*z**2 + v*z**3 + 6*z = 0.
1
Let g(q) be the second derivative of -q**7/1680 - q**6/240 - q**5/120 + 5*q**3/2 + q. Let v(l) be the second derivative of g(l). Factor v(t).
-t*(t + 1)*(t + 2)/2
Let q be 36/(-8) + 8 + (-1)/2. Let d(a) be the third derivative of -3*a**2 + 0*a**q - 1/180*a**5 + 1/72*a**4 + 0*a + 0. Let d(c) = 0. Calculate c.
0, 1
Let r(x) = x**3 + 8*x**2 - 9*x + 2. Let c be r(-9). Suppose 0 = c*o - 5*f - 19, 4*o + 4*f = 5*f + 11. Determine a so that 0*a - 1/6*a**3 + 1/2*a**o - 2/3 = 0.
-1, 2
Let g(a) be the second derivative of -a**5/70 - 13*a**4/42 + a**3/21 + 13*a**2/7 - 2*a + 9. Solve g(o) = 0.
-13, -1, 1
Let u(p) be the third derivative of -14*p**7/15 - 112*p**6/15 + 472*p**5/15 + 160*p**4/3 + 32*p**3 - p**2 - 42. Solve u(i) = 0.
-6, -2/7, 2
Let q be 346/(-342) - 5/(-5). Let b = q + 521/684. What is j in -1/2 - b*j + 0*j**2 + 1/4*j**3 = 0?
-1, 2
Factor 1408/13*y + 2/13*y**4 + 432/13*y**2 + 1024/13 + 50/13*y**3.
2*(y + 1)*(y + 8)**3/13
Suppose 5*w = 2*p, 0 = w - 5*p + 30 - 7. Suppose 2*g - 4 = w. Solve -9*d**4 + 2*d**4 + 5*d**5 + 3 - g + 2*d**3 = 0 for d.
0, 2/5, 1
Suppose 66 = 41*f - 57. Let q(j) be the third derivative of 1/18*j**f - 2*j**2 + 0*j + 1/36*j**4 - 1/60*j**5 + 0. Factor q(b).
-(b - 1)*(3*b + 1)/3
Let h(p) be the second derivative of -3*p**5/100 + 8*p**4/5 - 23*p**3/2 + 126*p**2/5 + 4*p - 8. Factor h(f).
-3*(f - 28)*(f - 3)*(f - 1)/5
Let u(p) be the second derivative of -3/140*p**5 + 1/28*p**4 + 25*p + 0*p**3 + 0*p**2 + 0. Factor u(a).
-3*a**2*(a - 1)/7
Let w(s) = -2*s**3 + 6*s**2 - 8*s - 2. Let m(c) = 3*c**2 + c - 1. Let x be m(-1). Let v(a) = -a**2 - 1. Let o(h) = x*w(h) - 2*v(h). Solve o(y) = 0.
0, 2
Let t(a) be the third derivative of 0 + 0*a**4 + 1/20*a**5 + 0*a - 1/70*a**7 + 0*a**3 + 0*a**6 - 9*a*