t r(d) be the second derivative of 12*d**2 - 10*d + 1/18*d**4 - 14/3*d**3 + 1/90*d**6 + 3/20*d**5 - 1. Find q such that r(q) = 0.
-6, 1, 2
Find a such that -32/5 + 52/5*a - 6/5*a**2 = 0.
2/3, 8
Factor -152/7*h - 1/7*h**2 - 5776/7.
-(h + 76)**2/7
Let h(k) = k**2 + 4. Let c be h(0). Let -30*l - 27*l**2 + 1 + 64*l**2 + 38*l**2 - 240*l**c + 2 + 60*l**3 - 192*l**5 = 0. What is l?
-1, 1/4
Let q be (-4)/(2 + -1 - -1). Let w be (q/1)/(3 + (-22)/6). Suppose 3/5*p**2 + 7/5*p**w - 7/5*p + 2/5 - p**4 = 0. Calculate p.
-1, 2/5, 1
Let j(x) be the first derivative of 2/21*x**3 + 6/7*x - 1/14*x**4 + 5/7*x**2 - 51. Determine g so that j(g) = 0.
-1, 3
Let -3/5*a**2 + 27/5*a - 12 = 0. Calculate a.
4, 5
Let l be (-18)/(-14) - 1 - (-242)/(-847). Let r = 102 + -102. Factor l*p + r + 2/3*p**2.
2*p**2/3
Let o(a) be the third derivative of -a**10/6048 + a**8/1344 + a**4/4 - 9*a**2. Let c(g) be the second derivative of o(g). Suppose c(j) = 0. What is j?
-1, 0, 1
Suppose 0 = -4*n + 2*w - 4, 3*n = -3*w - 3 + 9. Suppose n*i = -b + 3*i + 12, 2*i + 8 = b. Determine r, given that 2*r**3 + 0*r + b + 2*r**2 + 1/2*r**4 = 0.
-2, 0
Let i = -5 - -8. Suppose -i*a - a = -12. Factor 3*t**3 - 9*t**2 + 0*t**3 - t + 0*t**a - 3 + 10*t.
3*(t - 1)**3
Let l(w) = -w**2 + 13*w - 2. Let p be l(11). Suppose -2*s = 5*v - p, -16 = -3*s - 0*v - 4*v. What is d in -3/4*d**2 + 1/4*d + s = 0?
0, 1/3
Find p, given that 456*p - 156*p + 380*p + 23120 + 5*p**2 = 0.
-68
Let h(s) be the second derivative of s**5/50 + 26*s**4/15 + 101*s**3/15 + 10*s**2 + 365*s. Factor h(y).
2*(y + 1)**2*(y + 50)/5
Suppose -24*q + 34*q - 20 = 0. Let o be (12 - 10)/(3 - q). Determine x so that 0 - 1/6*x**o + 1/3*x = 0.
0, 2
Let g be (-18)/(-4)*(8 + (-286)/39). Let l(d) be the second derivative of 1/10*d**6 - d**g + 4*d + 0*d**2 + 5/4*d**4 - 3/5*d**5 + 0. Factor l(z).
3*z*(z - 2)*(z - 1)**2
Let w(l) = -l**3 - l + 1. Let p(d) be the first derivative of -d**4/4 - 4*d**3/3 + 3*d**2/2 - 6. Let t(y) = -5*p(y) + 10*w(y). Determine v, given that t(v) = 0.
1, 2
Let g(h) be the second derivative of h**7/147 - h**6/21 + 3*h**5/70 + 3*h**4/14 - h - 6. Factor g(y).
2*y**2*(y - 3)**2*(y + 1)/7
Let b(q) = q**2 - 17*q + 70. Let d be b(10). Factor 32/5*c - 4/5*c**4 + 24/5*c**3 - 48/5*c**2 + d.
-4*c*(c - 2)**3/5
Let y be (-2)/(-4) - 78/364. Let k be (-19)/7 + 4*(-9)/(-12). Suppose -6/7*f**3 + k - y*f - 10/7*f**2 = 0. Calculate f.
-1, 1/3
Let w(q) be the third derivative of -q**7/1050 - 11*q**6/300 - 37*q**5/300 + 77*q**4/10 - 294*q**3/5 + 4*q**2 - 21. Suppose w(n) = 0. Calculate n.
-14, 3
Let a be -9*(-1 - (32/(-12) - -2)). Suppose -a*b + 4*u + 10 = -2*b, -b + 2*u = -6. Factor 9/5*l**b + 0 - 3/5*l**3 - 6/5*l.
-3*l*(l - 2)*(l - 1)/5
Let w(y) = -14*y + 6 + 12 + 6*y + 5*y. Let j be w(6). Solve j + 0*p + 2/7*p**4 + 2/7*p**2 - 4/7*p**3 = 0.
0, 1
Let l(w) = w**4 - 9*w**3 - 7*w**2. Let q(b) = 4*b**4 - 46*b**3 - 36*b**2. Let r(y) = 14*l(y) - 3*q(y). Factor r(g).
2*g**2*(g + 1)*(g + 5)
Let j(n) be the first derivative of -3/8*n**4 + 1/4*n**6 - 9/10*n**5 + 6*n + 11/2*n**3 - 15 - 9*n**2. Factor j(h).
3*(h - 2)*(h - 1)**3*(h + 2)/2
Let f(w) be the second derivative of w**5/35 + 2*w**4/3 - 62*w**3/21 + 32*w**2/7 + 107*w. Factor f(j).
4*(j - 1)**2*(j + 16)/7
Suppose 0 - 26/5*o**3 + 32/15*o**5 + 16/15*o**4 - 4/15*o + 34/15*o**2 = 0. What is o?
-2, 0, 1/4, 1
Let r(b) be the third derivative of b**5/90 - 7*b**4/36 + 2*b**3/3 + b**2 - 15*b. Factor r(p).
2*(p - 6)*(p - 1)/3
Let o(c) be the second derivative of -c**5/150 + c**4/15 - 4*c**3/15 + 6*c**2 - 13*c. Let h(p) be the first derivative of o(p). Factor h(y).
-2*(y - 2)**2/5
Factor 76*x**2 + x**3 + 1088 + 1091 - 2105 + 149*x.
(x + 1)**2*(x + 74)
Let w(r) be the first derivative of 7*r**6/33 + 38*r**5/55 - 27*r**4/22 - 86*r**3/33 + 56*r**2/11 - 24*r/11 - 55. What is j in w(j) = 0?
-3, -2, 2/7, 1
Let u(g) be the second derivative of -1/15*g**4 - 2/5*g**2 - 4/15*g**3 + 3*g + 0. Let u(b) = 0. Calculate b.
-1
Let y be (-106)/34 + 3 - 4030/(-442). Suppose -y*k**2 - 9/2*k**3 - 15/2*k - 3/4*k**4 - 9/4 = 0. Calculate k.
-3, -1
Let g(t) = t**3 + 449*t**2 + 6713*t + 6265. Let p(f) = 224*f**2 + 3356*f + 3132. Let q(r) = 4*g(r) - 7*p(r). Find a such that q(a) = 0.
-28, -1
Let u(z) be the third derivative of 5*z**8/336 + z**7/21 - 7*z**6/24 + z**5/3 - z**2 + 48*z. Factor u(n).
5*n**2*(n - 1)**2*(n + 4)
Let b be (3/(-18))/(12/(-4)). Let y(o) be the third derivative of -1/90*o**6 - 1/90*o**5 + 0 + b*o**4 + 1/315*o**7 - 6*o**2 + 0*o**3 + 0*o. Factor y(v).
2*v*(v - 2)*(v - 1)*(v + 1)/3
Factor 8/3*w**4 + 0 + 0*w - 4*w**2 - 10/3*w**5 + 14/3*w**3.
-2*w**2*(w - 1)**2*(5*w + 6)/3
Let i(r) = -r**4 + 2*r**3 + 8*r**2 + 10*r - 5. Let d(p) = -2*p + 1. Let q(z) = -5*d(z) - i(z). Suppose q(x) = 0. Calculate x.
-2, 0, 4
Suppose 3*h + 1763 = -2*p, 5*h - p + 1700 = -1221. Let a be h/(-100) + 2/5 - 4. Factor 0*k + 0 - 3/2*k**3 + 0*k**2 - a*k**4.
-3*k**3*(3*k + 2)/4
Let g be 6/(-15) + (3 - 7/(-5)). Factor -p**3 - 7*p**2 - 2*p**5 + p**4 + 5*p**3 - 18*p + 7*p**g - 17*p**2.
-2*p*(p - 3)**2*(p + 1)**2
Let f(t) be the third derivative of -t**8/420 - 19*t**7/525 + t**6/150 + 44*t**5/75 - 8*t**4/5 + 9*t**3/5 + 811*t**2. Determine r so that f(r) = 0.
-9, -3, 1/2, 1
Let d(x) be the first derivative of -1/30*x**6 - 1/10*x**2 - 2/15*x**3 + 1/5*x - 10 + 1/25*x**5 + 1/10*x**4. Factor d(f).
-(f - 1)**3*(f + 1)**2/5
Let d be (-7 - (-354)/50) + 123/25. Let a(h) be the first derivative of 0*h**3 - 1 + 0*h**2 + 0*h + 1/2*h**6 - 6/5*h**d + 0*h**4. Solve a(t) = 0 for t.
0, 2
Let o be (-9 - -5)*(-1)/2. Suppose -5*z + 5*p = -15, 11 + 18 = 5*z + o*p. Solve -2*a**2 - 4 + z*a**2 + 5*a**2 + 4*a**3 - 4*a**2 - 4*a = 0.
-1, 1
Let i(a) = a**4 + 2*a**2 + a. Let h(x) = -16*x**4 + 156*x**3 - 132*x**2 - 104*x. Let n(d) = h(d) + 24*i(d). Determine f so that n(f) = 0.
-20, -1/2, 0, 1
Let p(a) be the third derivative of 26*a**7/105 - a**6/15 - 13*a**5/15 + a**4/3 - 54*a**2. Let p(y) = 0. What is y?
-1, 0, 2/13, 1
Suppose 0 = 3*x + 3*x + 6. Let c(f) = 230*f**2 + 55*f - 10. Let t(n) = -n**2 - n - 1. Let d(j) = x*c(j) + 15*t(j). What is p in d(p) = 0?
-1/7
Let j be 4/(7/(-2) + 3). Let p be (-2)/((-98)/60 + (-12)/j). Find q such that 11/2*q**2 + p*q**3 - 25/2*q**4 - 6*q - 2 = 0.
-2/5, 1
Let l(t) be the first derivative of t**6/420 - t**5/42 + t**4/14 - 13*t**2/2 - 46. Let o(k) be the second derivative of l(k). What is j in o(j) = 0?
0, 2, 3
Let 8/11*g**2 - 2/11*g**3 + 6/11*g - 36/11 = 0. Calculate g.
-2, 3
Let b be (18/(-5))/9 + ((-84)/(-35) - 0). Factor 0 + 4/11*s**4 + 0*s + 1/11*s**b + 4/11*s**3.
s**2*(2*s + 1)**2/11
Let w be 1*(28/245)/((-24)/(-112)). Determine d so that -14/15*d**3 + 32/15*d - 2/3*d**2 - w = 0.
-2, 2/7, 1
Let k(g) be the second derivative of -g**4/90 + 22*g**3/15 - 363*g**2/5 - 47*g + 5. Determine i so that k(i) = 0.
33
Let j(m) be the first derivative of -m**3 - 9/2*m**4 + 0*m + 7 + 0*m**2 - 27/5*m**5 - 2*m**6. Factor j(h).
-3*h**2*(h + 1)**2*(4*h + 1)
Let k = 74 + -69. Suppose c - 3*c + 29 = k*i, -2*i + 2 = -4*c. What is o in 4/7*o**c + 8/7 + 12/7*o = 0?
-2, -1
Let s(k) = 423*k + 5080. Let r be s(-12). Find d such that 8/5*d**2 - 12/5*d**3 - 2/5*d**5 + 0 - 2/5*d + 8/5*d**r = 0.
0, 1
Let q(b) be the third derivative of -5*b**8/16 - 80*b**7/21 - 67*b**6/6 + 40*b**5/3 + 40*b**4/3 + b**2 - 14. Determine z, given that q(z) = 0.
-4, -2/7, 0, 2/3
Let x(y) be the first derivative of -y**6/2 + 7*y**5/5 - 3*y**4/4 - y**3 + y**2 - 559. Suppose x(w) = 0. What is w?
-2/3, 0, 1
Let o(a) = 3*a**4 + 3*a**3 - 21*a**2 - 27*a - 2. Let u(p) = -15*p**4 - 15*p**3 + 102*p**2 + 135*p + 11. Let l(c) = 11*o(c) + 2*u(c). Solve l(h) = 0.
-3, -1, 0, 3
Factor 2/3*m**2 - 3*m - 5/3 - 1/3*m**5 + m**4 + 10/3*m**3.
-(m - 5)*(m - 1)*(m + 1)**3/3
Suppose 1 = -l, -4*l = -0*z - 4*z + 32. Suppose 2*g - 5 = z. Let -15*v**2 + 6*v**2 + g*v**2 + 4*v**2 + 4*v + 4 = 0. Calculate v.
-2
Let b = -52/19 + 1858/665. Let i(d) be the first derivative of 1/7*d**4 + 0*d + 2/7*d**3 + 0*d**2 - b*d**5 + 3. Find g such that i(g) = 0.
-1, 0, 3
Let c be ((-5280)/(-336) + -16)*7/(-8). Let -c*w**2 + 0*w + 0 = 0. Calculate w.
0
Let y = 29068 + -319732/11. Factor -y + 2/11*g**2 - 4/11*g.
2*(g - 4)*(g + 2)/11
Let t = 139002/173765 - -2/34753. Suppose -z = 1 - 5, -f + 23 = 5*z. Factor 16/5*b**2 + 0 - 12/5*b**f - t*b.
-4*b*