0*t**5.
-5*t**2*(t + 2)*(t + 8)**2
Let g(a) = -2*a**3 - 28*a**2 - 76*a + 44. Let y be g(-10). Let b(z) be the first derivative of 2/9*z**3 + 5/3*z**2 - 15 - y*z. Find q, given that b(q) = 0.
-6, 1
Let x be (6904/22438)/(2/26). Let -4*d - 16/3*d**3 - 26/3*d**2 - 2/3*d**x + 0 = 0. What is d?
-6, -1, 0
Let s be (-128)/(-1856) + (-9604)/(-2030). Factor -4*n**2 - 12/5*n**4 - 6/5*n - 2/5*n**5 + 0 - s*n**3.
-2*n*(n + 1)**3*(n + 3)/5
Let a(y) be the first derivative of -2*y**3/15 - 129*y**2/5 + 206. Solve a(z) = 0.
-129, 0
Let o = 2159/142 + -1044/71. Factor 11/2*l - o*l**2 - 5.
-(l - 10)*(l - 1)/2
Suppose -3*s - 11*s - 2*s = 0. Let l(z) be the third derivative of -1/12*z**5 + s*z**4 + 7*z**2 + 0 + 0*z**3 + 0*z. Determine m so that l(m) = 0.
0
Let c be 89271/28743 - (-13)/(-871). Factor -c*d - 8/11*d**2 - 8/11.
-2*(d + 4)*(4*d + 1)/11
Let h = 6/10799 - -107948/75593. Find w, given that -17/7*w - 1/7*w**3 + 8/7 + h*w**2 = 0.
1, 8
Let u(t) be the second derivative of 1/25*t**5 + 0 - 241*t - 14/15*t**4 - 64/15*t**3 + 0*t**2. Find w, given that u(w) = 0.
-2, 0, 16
Suppose 26*o + 504 = 38*o. Suppose -o*q**2 - 41*q - 2*q**4 + 18*q**3 - 16*q**2 + 119*q - 36 = 0. Calculate q.
1, 2, 3
Let w(j) = -j**3 - 15*j**2 - 64*j - 54. Let m be w(-7). Let n(p) be the second derivative of p**4 + 10*p + 6*p**m + 20/3*p**3 + 0. Find g such that n(g) = 0.
-3, -1/3
Let n(z) be the third derivative of -2/21*z**7 - 27 - 4*z**2 + 1/6*z**6 + 0*z**4 + 0*z**5 + 0*z + 0*z**3 + 5/336*z**8. Find a such that n(a) = 0.
0, 2
Factor -2/5*j**2 - 132/5 + 34/5*j.
-2*(j - 11)*(j - 6)/5
Let n(i) = 294*i**3 + 834*i**2 + 3256*i + 34. Let r(m) = -26*m**3 - 76*m**2 - 296*m - 3. Let c(g) = 6*n(g) + 68*r(g). Factor c(q).
-4*q*(q + 4)*(q + 37)
Let d(p) = -2*p + 13. Let y(i) = -5*i + 38. Let x(h) = -8*d(h) + 3*y(h). Let k be x(-8). Factor 40 + 10*v - 24 - 4*v**3 + 6*v - 4*v**k.
-4*(v - 2)*(v + 1)*(v + 2)
Let o(b) = 4*b**2 - 363*b + 8464. Suppose -12 = -4*i + 3*g - 1, -g = -3*i + 2. Let r(d) = d. Let p(n) = i*o(n) + 5*r(n). Determine l, given that p(l) = 0.
46
Suppose 2*b + 7 = 5*r, r - 2 = 3*r - 2*b. What is u in 483 - 96*u + 353 - 160 + r*u**2 + 92 = 0?
16
Suppose -36/5*y**3 - 207/5*y**2 - 540 + 588*y + 3/5*y**4 = 0. What is y?
-9, 1, 10
Solve -100*s**3 + 88*s**2 + 3*s**5 - 12 + 25 + 9866*s + 25*s**5 + 19 - 9722*s - 48*s**4 = 0.
-1, -2/7, 2
Let c(y) be the second derivative of y**5/30 + 7*y**4/6 - y**3/9 - 7*y**2 - 2*y + 436. Factor c(a).
2*(a - 1)*(a + 1)*(a + 21)/3
Let t(v) = 52*v**2 - 110*v + 52. Suppose -63 = 20*x + 17. Let g(u) = u**3 - 260*u**2 + 550*u - 258. Let d(s) = x*g(s) - 22*t(s). Factor d(q).
-4*(q - 1)**2*(q + 28)
Suppose -16/3*r**4 + 13/9*r**3 + 0*r + 4*r**5 - 1/9*r**2 + 0 = 0. Calculate r.
0, 1/6, 1
Suppose 7 = -2*j + 9, 0 = -2*z - j + 271. Find s such that 132*s**3 + 3*s**5 - 31 - 73 - 46 + 114*s**2 + 36*s**4 - z*s = 0.
-5, -2, -1, 1
Factor 11878/3*n**2 + 11449/3 + 1/3*n**4 - 72*n**3 - 7704*n.
(n - 107)**2*(n - 1)**2/3
Let c(p) be the third derivative of -p**6/180 - 214*p**5/45 + 145*p**4/12 + 286*p**3 - 45*p**2 + 6*p. Determine u so that c(u) = 0.
-429, -2, 3
Suppose 1 = -5*m + l + 14, -5*m + 5 = -5*l. Suppose 2*o + 6 = 0, 3*y + m*o = -2*o - 6. Factor -6*k**2 - 12*k**4 - 2*k**3 + 3*k**5 + 0*k**y + 17*k**3.
3*k**2*(k - 2)*(k - 1)**2
Determine t, given that 272*t**2 - 2/3*t**4 + 754/3 + 1540/3*t + 28/3*t**3 = 0.
-13, -1, 29
Let k(s) be the third derivative of 5*s**8/756 - 13*s**7/945 - s**6/180 + s**5/54 + s**4/108 - 15*s**2 - s. Let k(i) = 0. What is i?
-1/2, -1/5, 0, 1
Suppose -260/11 - 42/11*t + 2/11*t**2 = 0. What is t?
-5, 26
Let o = -3221 - -54957/17. Suppose -280/17*m + 98/17*m**2 + o = 0. Calculate m.
10/7
Let l = -50 - -45. Let g(m) = -m - 2. Let v be g(l). Suppose -3*s**5 - 18*s**4 - 36*s**v - 2*s**2 + 10*s**2 - 21*s**2 - 11*s**2 = 0. What is s?
-2, 0
Suppose 0 = 38*h + 60*h - 231 + 8 + 27. Determine t, given that 4/11*t**3 + 38/11*t**h + 0 - 10/11*t**4 + 24/11*t = 0.
-1, 0, 12/5
Suppose -550*b = -567*b + 23970. Suppose -b*s = -1433*s. Find y such that s - 1/4*y**3 + 0*y + 1/4*y**2 = 0.
0, 1
Let g(p) be the second derivative of -p**4/84 + p**3 - 41*p**2/14 - 1325*p. Determine h so that g(h) = 0.
1, 41
Let a = -524 + 563. Suppose -17*h = -30*h + a. Solve -6/7*x**h - 3*x**2 + 6/7*x + 3*x**4 + 0 = 0 for x.
-1, 0, 2/7, 1
Let b(x) = 47*x + 329. Let q be b(-7). Let o(d) be the second derivative of q + 2/15*d**6 + 0*d**2 - 1/5*d**5 - 15*d - 2/3*d**4 + 0*d**3. Factor o(r).
4*r**2*(r - 2)*(r + 1)
Let f be 15/3 + 6*(-8)/16. Suppose 80*q - 3*q**2 + 4*q**2 + f*q**2 - 8*q**2 - 140 = 0. What is q?
2, 14
Let l be (-9 - (-6)/(-180)*-10*78/2)/18. Factor 0 - 4/9*m + l*m**4 - 2/3*m**3 + 2/9*m**5 - 10/9*m**2.
2*m*(m - 2)*(m + 1)**3/9
Let x(l) = -1084*l**3 - 3*l**2 - 3*l. Let f be x(-2). Let s = -3313 + f. Find k such that 110*k + 6198 + 5*k**2 + 20*k - s = 0.
-13
Let a(r) be the second derivative of 14*r**7/3 + 140*r**6/3 + 793*r**5/5 + 796*r**4/3 + 736*r**3/3 + 128*r**2 + 7108*r. Determine s so that a(s) = 0.
-4, -1, -4/7
Let x be 354931/7917 - (-3)/21. Let d = -576/13 + x. What is p in 1/3*p**3 - 1/3*p - 2/3 + d*p**2 = 0?
-2, -1, 1
Let f(h) be the second derivative of -3*h**5/20 + 675*h**4/2 - 303750*h**3 + 136687500*h**2 - 3*h + 65. Factor f(p).
-3*(p - 450)**3
Let b = -39 + 40. Let x be ((-20)/5 + b)*-1. Suppose -267 - 36*i**2 + 11 - 12*i**2 + 4*i**x + 192*i = 0. What is i?
4
Let m(n) = 4*n**4 + 10*n**3 - 28*n**2 - 2*n - 2. Let v(w) = -5*w**4 - 3*w**3 + 29*w**2 + 3*w + 3. Let b(i) = -3*m(i) - 2*v(i). Factor b(g).
-2*g**2*(g - 1)*(g + 13)
Factor 0 + 4/9*x**4 + 32/3*x**3 - 100/9*x**2 + 0*x.
4*x**2*(x - 1)*(x + 25)/9
Let f(g) be the third derivative of 0*g**3 + 0 + 1/120*g**6 + 0*g**4 - 1/15*g**5 - 30*g + 2/105*g**7 - 1/336*g**8 - 2*g**2. Suppose f(q) = 0. Calculate q.
-1, 0, 1, 4
Let h(l) be the third derivative of -6*l**3 + 0 + 2/15*l**5 + 17/6*l**4 - 95*l**2 + 0*l. Find p, given that h(p) = 0.
-9, 1/2
Let b(l) = 2*l**3 + 41*l**2 + 15*l + 44. Let u be b(-20). Factor -31*o**3 + o**3 - 120*o + 27*o**3 + u + 33*o**2.
-3*(o - 4)**2*(o - 3)
Let c(q) = 2*q**2 - 3*q - 14. Let d be c(0). Let a(p) = -3*p**2 - 39*p + 49. Let z(v) = -v**2 - 13*v + 16. Let w(g) = d*z(g) + 4*a(g). Factor w(l).
2*(l - 1)*(l + 14)
Suppose 6 = 314*o - 312*o. Solve -5 - 26037*i**2 + 26046*i**2 - 3*i - 4 + o*i**3 = 0.
-3, -1, 1
Let b(h) be the third derivative of h**7/105 - 13*h**6/30 + 37*h**5/10 - 21*h**4/2 - 10274*h**2. Factor b(u).
2*u*(u - 21)*(u - 3)*(u - 2)
Let z be (32 - (20 - 209/(-19)))*0/(-2). Let 2*u**2 + 3/2*u + 1/8*u**4 + 7/8*u**3 + z = 0. What is u?
-3, -2, 0
Let v(b) be the third derivative of -b**5/20 - 31*b**4/4 - 477*b**3/2 - 22*b**2 + 5. Factor v(q).
-3*(q + 9)*(q + 53)
Let j(m) be the third derivative of -m**5/15 - 160*m**4 + 1922*m**3/3 + 189*m**2 + 2. Factor j(t).
-4*(t - 1)*(t + 961)
Let v(r) be the third derivative of -r**5/75 - 28*r**4/15 - 106*r**3/5 + 32*r**2 - 44*r + 2. Factor v(s).
-4*(s + 3)*(s + 53)/5
Suppose -132 = w - 12*w. Let u be (w/42)/((-4)/(-6)). Factor -3/7*p**4 + 2/7*p**2 - 2/7*p**3 - 1/7*p**5 + 1/7 + u*p.
-(p - 1)*(p + 1)**4/7
Suppose 883*f - 838*f = 0. Let j(z) be the first derivative of f*z - 5 - 2/3*z**3 + z**2. What is q in j(q) = 0?
0, 1
Suppose 0 = h + 5*l - 21, l - 33 = -3*h + 2*h. Let z(b) = b**2 + b + 1. Let s(y) = 20*y**2 + 20*y + 18. Let w(v) = h*z(v) - 2*s(v). Suppose w(c) = 0. What is c?
-1, 0
Let n(a) be the second derivative of a**7/63 + 32*a**6/45 - 11*a**5/10 + 16*a + 39. Factor n(p).
2*p**3*(p - 1)*(p + 33)/3
Factor -3*s**2 + s**2 + 5505209 - 9074536 + 12016*s - 14478705.
-2*(s - 3004)**2
Let k = -434934 - -2174672/5. Suppose 2/5*c**4 - 8/5*c**2 - 8/5*c + k*c**3 + 0 = 0. Calculate c.
-2, -1, 0, 2
Let u(b) be the third derivative of b**5/120 - 13*b**4/4 + 155*b**3/12 + 996*b**2. Factor u(w).
(w - 155)*(w - 1)/2
Suppose 5*h + 9*a - 142 + 50 = 0, -16 = -2*a. Solve -42/5*w**3 + 2/3*w**h - 44/15 + 178/15*w**2 - 6/5*w = 0.
-2/5, 1, 11
Let r(d) be the first derivative of 16*d**5/25 + 2*d**4 - 61*d**3/5 + 83*d**2/10 - 2*d - 7439. Suppose r(f) = 0. Calculate f.
-5, 1/4, 2
Suppose 3*x + 24 = 2*x. Let i be 30/7 + x/84. Determine m so that -i*m**2 + 4*m - 2 - 4*m**2 - m**2 + 7*m**2 = 0.
1
Let w(l) = -8*l + 144. Let r be w(-6). Let p be 10/15 + (-4)/r*-76. What is z in -3/4