t s(b) = -74*b**3 - 125*b**2 - 55*b + 8. Let q(z) = -3*a(z) - 20*s(z). Find d, given that q(d) = 0.
-1, 2/17
Determine d, given that 0 + 24/5*d - 2/5*d**2 = 0.
0, 12
Let x(i) = 4*i**2 - 4*i + 2. Let y(k) = -9*k**2 + 7*k - 5. Let c = -14 - -9. Let o(z) = c*x(z) - 2*y(z). Factor o(d).
-2*d*(d - 3)
Let d = -393/14 - -4069/126. Factor 14/9*f**4 - d*f**3 + 8/9 - 2/9*f**5 - 32/9*f + 50/9*f**2.
-2*(f - 2)**2*(f - 1)**3/9
Let u(b) be the second derivative of -10*b**4 + 20*b - 15/2*b**3 - 3*b**6 - 1/2*b**7 - 15/2*b**5 - 3*b**2 + 0. Factor u(l).
-3*(l + 1)**4*(7*l + 2)
Let n(z) be the third derivative of -2*z**7/105 + 7*z**6/30 + 8*z**5/15 + z**2 - 18. Factor n(l).
-4*l**2*(l - 8)*(l + 1)
Let d(f) be the second derivative of 11*f + 0 - 1/48*f**4 + 1/12*f**3 + f**2. Factor d(a).
-(a - 4)*(a + 2)/4
Let j = -3 - -20. What is n in -18*n**2 - j*n**2 - 8*n + 31*n**2 = 0?
-2, 0
Let x = -24/5 - -53/10. Let s(o) be the first derivative of 0*o**2 + 2 - 1/6*o**3 + x*o. Solve s(i) = 0.
-1, 1
Let d(l) be the second derivative of -l**6/15 - l**5/5 + l**4/2 + 4*l**3/3 - 4*l**2 + l - 17. Find x, given that d(x) = 0.
-2, 1
Let t = -58007/8120 + 1/1160. Let z = -136/21 - t. Factor 4/3 + 2/3*c**4 - z*c + 2/3*c**3 - 2*c**2.
2*(c - 1)**2*(c + 1)*(c + 2)/3
Let s(i) = -16*i**3 + 188*i**2 - 24*i - 128. Let j(a) = a**3 - a**2 + a - 2. Let r(g) = -20*j(g) - s(g). Solve r(x) = 0 for x.
-42, -1, 1
Let h be (((-72)/20)/(-3))/((-6)/20). Let j be -1 - 18/20*h. Let -2/5*c + 0 - j*c**2 - 17/5*c**3 + 12/5*c**4 = 0. Calculate c.
-1/3, -1/4, 0, 2
Let i(y) be the first derivative of -28*y**3 + 99/2*y**2 + 15/4*y**4 - 37 + 54*y. Factor i(h).
3*(h - 3)**2*(5*h + 2)
Let c(n) be the first derivative of n**8/840 + n**7/210 + 8*n**3 + 16. Let k(l) be the third derivative of c(l). Factor k(y).
2*y**3*(y + 2)
Let p(a) be the third derivative of 0 + 0*a - 1/6*a**3 - 8*a**2 + 3/80*a**5 + 1/6*a**4. Solve p(c) = 0.
-2, 2/9
Let k(b) be the first derivative of 16/9*b - 2/27*b**3 - 17 - 2/9*b**2. Suppose k(s) = 0. Calculate s.
-4, 2
Let q be -2*((-3)/2 - 0). Factor 6*l**q - 60 + 116 + 12*l**2 - 56 - 3*l**4 - 24*l.
-3*l*(l - 2)**2*(l + 2)
Let o(l) = 4*l**3 - 8*l**2 + 8*l - 4. Let t(u) = u**2 - u. Let y(s) = -s**2 + 12*s + 16. Let f be y(14). Let z(a) = f*t(a) + 2*o(a). Let z(k) = 0. Calculate k.
1/2, 1, 2
Let g = 15 - 10. Suppose -4*q + 2*h = h - 11, -q = -4*h + 1. Factor g*l**q + 3*l**3 + l**4 - 7*l**3.
l**3*(l + 1)
Factor 22*v + 68/3 - 2/3*v**2.
-2*(v - 34)*(v + 1)/3
Determine j so that 2 + 5/2*j**2 + 1/2*j**3 + 4*j = 0.
-2, -1
Let l(t) = -2*t**4 - 8*t**3 + 2*t**2 + 24*t - 12. Let j(y) = y**2 - y - 1. Let i(g) = -4*j(g) - l(g). Find z such that i(z) = 0.
-4, -2, 1
Suppose -2*j = -3*g + 6, -2*g + 0*g + 17 = 3*j. Suppose -r**2 + g + 2*r**2 + 25 - 12*r + 7 = 0. Calculate r.
6
Let v be (44 + -15 - 38) + (-31)/(-3). Factor 1/3*l**2 - v*l**3 - 1/3*l**4 + 0 + 4/3*l.
-l*(l - 1)*(l + 1)*(l + 4)/3
Suppose 22*l = 18*l + 88. Determine p, given that -l*p + 5*p + 11*p + 8*p - 4*p**2 = 0.
0, 1/2
Let x = 685 - 683. Solve -7/2*n + 3/2*n**x + 1 = 0 for n.
1/3, 2
Factor 4608*a**2 - 96*a**3 + 2/3*a**4 - 73728*a + 0.
2*a*(a - 48)**3/3
Let c be (12/46)/(15*(-15)/(-450)) - 0. Factor -2/23*n**2 - 10/23*n - c.
-2*(n + 2)*(n + 3)/23
Let d(y) be the first derivative of -y**6/6 + 5*y**4/6 - 5*y**2/2 + 11*y - 14. Let s(x) be the first derivative of d(x). Factor s(r).
-5*(r - 1)**2*(r + 1)**2
Let h(p) be the first derivative of p**4/14 - 12*p**2/7 - 32*p/7 - 831. Factor h(s).
2*(s - 4)*(s + 2)**2/7
Let o = 79 + -77. Let u be 52/195 + o/5. Factor 2*b**3 + 0 - 2/3*b**2 - 2*b**4 + 0*b + u*b**5.
2*b**2*(b - 1)**3/3
Let g(f) be the first derivative of -f**4/6 + 22*f**3/9 - 28*f**2/3 - 178. Find j such that g(j) = 0.
0, 4, 7
Suppose 59*v = 45*v + 56. Let g be 16/(-60)*25/(-6). Suppose 0 - g*a**5 + 0*a - 2/3*a**3 - 2/9*a**2 + 2*a**v = 0. What is a?
-1/5, 0, 1
Let p be 49/84*-3*(-3)/70. Let g = p - -7/40. Suppose -1/4*o**4 + 0 - 3/4*o**3 - 3/4*o**2 - g*o = 0. What is o?
-1, 0
Let g(p) = 2*p**3 + 11*p**2 + 7*p - 5. Let i be g(-4). Factor n - 17*n**3 - 13*n - 20*n**4 - i*n**3 - 12*n + 76*n**2.
-4*n*(n - 1)*(n + 3)*(5*n - 2)
Let x(p) be the first derivative of 4*p**3/3 + 16*p**2 + 48*p - 99. Find i, given that x(i) = 0.
-6, -2
Let j(q) be the third derivative of -q**8/4032 + q**7/126 - q**6/9 + 11*q**5/60 + 4*q**2. Let m(z) be the third derivative of j(z). Let m(h) = 0. What is h?
4
Let n(g) be the second derivative of g**7/8820 - g**6/2520 + g**4/2 + 12*g. Let o(r) be the third derivative of n(r). Let o(s) = 0. Calculate s.
0, 1
Let q(x) be the second derivative of -x**5/90 + 53*x**4/54 + 109*x**3/27 + 55*x**2/9 + 2*x + 119. Find p such that q(p) = 0.
-1, 55
Let y = -2538 + 5077/2. Suppose 0 + 2*u**4 + 2*u**2 - 3*u**3 - y*u - 1/2*u**5 = 0. What is u?
0, 1
Let 437*c**2 + 12 - 4*c**3 + 8*c - 444*c**2 + 2*c**3 + c**4 = 0. Calculate c.
-2, -1, 2, 3
Let l(n) be the second derivative of n**5/180 + n**4/36 + n**3/27 - 50*n. Factor l(y).
y*(y + 1)*(y + 2)/9
Let u(d) be the first derivative of -6/5*d**2 - 1/5*d**3 - 12/5*d - 53. Factor u(q).
-3*(q + 2)**2/5
Let l(q) = 3*q**2 - 87*q - 88. Let i(j) = 8*j**2 - 262*j - 263. Let f(w) = -2*i(w) + 7*l(w). Find v such that f(v) = 0.
-1, 18
Factor 0 - 2/7*m**4 + 2/7*m - 2/7*m**3 + 2/7*m**2.
-2*m*(m - 1)*(m + 1)**2/7
Suppose -44 - 99 = -b. Let c = b + -999/7. Factor 4/7*o**2 - c*o + 6/7*o**3 + 0.
2*o*(o + 1)*(3*o - 1)/7
Let q(d) be the second derivative of 0*d**2 + 0 + 0*d**4 + 16*d - 1/30*d**5 + 1/9*d**3. Suppose q(y) = 0. Calculate y.
-1, 0, 1
Suppose 0 = -3*h + 4*h - 2, -3*s + 13 = 2*h. Determine d so that -6*d**4 - 4*d - 9*d**4 + 2*d**3 + d**s + 14*d**4 = 0.
-1, 0, 2
Find q, given that 3/4*q**3 + 9/4*q**2 + 3/2*q + 0 = 0.
-2, -1, 0
Let u(x) be the first derivative of 121*x**6/21 - 1056*x**5/35 + 332*x**4/7 - 128*x**3/7 + 16*x**2/7 - 35. Factor u(o).
2*o*(o - 2)**2*(11*o - 2)**2/7
Suppose 10*b = 8*b - 3*w - 28, 2*b + 2*w = -24. Let p be b - -11 - 3*-1. Find q, given that -3/2*q**3 + 0 - 6*q - p*q**2 = 0.
-2, 0
Let u(w) be the first derivative of -3/4*w - 3/32*w**4 + 16 + 3/16*w**2 + 1/4*w**3. Solve u(d) = 0 for d.
-1, 1, 2
Let z(x) be the second derivative of 2*x**6/15 - 49*x**5/5 + 208*x**4 - 384*x**3 + 10*x - 4. Factor z(g).
4*g*(g - 24)**2*(g - 1)
Factor -168*s**2 - 15 - 129 - 23*s**3 + 250 - 320*s + 406 - s**4.
-(s - 1)*(s + 8)**3
Suppose 0 = 2*y - 79 + 23. Factor 36*z + 4 - y*z - 4 - 4*z**3 + 4*z**2.
-4*z*(z - 2)*(z + 1)
Let x(j) be the second derivative of 0*j**2 + 4/15*j**6 + 0 + 1/3*j**4 - 23*j + 13/30*j**5 + 1/9*j**3 + 4/63*j**7. Find q such that x(q) = 0.
-1, -1/2, 0
Let s(f) be the third derivative of f**9/151200 - f**8/75600 - f**5/5 + 5*f**2. Let x(q) be the third derivative of s(q). Suppose x(g) = 0. What is g?
0, 2/3
Suppose 18 = -0*f + 3*f. Suppose -4*p + w + 10 = -p, 4*p + 4*w + 8 = 0. What is y in -y**4 + 14*y**3 - 6*y**3 - 3*y**4 + p*y**2 - f*y**2 = 0?
0, 1
Let s(q) be the first derivative of 47 + 5/6*q**2 + 1/9*q**3 + 2*q. Find n, given that s(n) = 0.
-3, -2
Let u(j) be the third derivative of -j**7/70 - 4*j**6/45 + j**5/10 + 7*j**3/3 - 6*j**2. Let k(g) be the first derivative of u(g). Factor k(f).
-4*f*(f + 3)*(3*f - 1)
Suppose a - 30 = -3*c, 4*a + 40 = 4*c + 2*a. Let w be 1 + (-59)/(-15) + c/(-75). Find r such that 48/5*r**2 + 4/5*r**4 + 8*r + 12/5 + w*r**3 = 0.
-3, -1
Factor 146*u**4 + 448*u**3 + 162*u**4 + 49*u - 57*u - 80*u**4 + 212*u**2.
4*u*(u + 1)**2*(57*u - 2)
Suppose 11*w - 10*w = 2. Suppose 2 = -w*b + 6. Factor -i + 2*i**2 - 4*i**2 + b - 10 - 7*i.
-2*(i + 2)**2
Suppose 3*f - 9 = -2*c, -5*f = 44*c - 39*c - 15. Let j(u) be the second derivative of 1/9*u**3 + 0 + c*u**2 + 1/9*u**4 + 1/30*u**5 - 2*u. What is w in j(w) = 0?
-1, 0
Let i be ((-20)/(-30))/(1 - 92/108). Let d(h) be the second derivative of -27/2*h**2 - 3/4*h**4 + i*h**3 + 0 + 2*h + 1/20*h**5. Let d(n) = 0. What is n?
3
Let o(w) be the second derivative of w**7/378 + w**6/270 - w**5/45 - w**4/27 - w - 21. Suppose o(k) = 0. Calculate k.
-2, -1, 0, 2
Let o(c) = -3*c - 2. Let k be o(2). Let u be (-9 - k) + 3 + 0. Factor -u - 10 + 48*s + 0 - 21*s**2.
-3*(s - 2)*(7*s - 2)
Suppose 0 = m + 3*m - 4*d - 16, 0 = 4*d - 12. Find y such that -3*y - m*y**4 - 2*y**2 + 12*y**3 + 3*y - 21*y**3 = 0.
-1, -2/7, 0
Let b(t) be the first 