*t**2 - 100*t**x - 5*t**3 = 0.
0, 2
Let j = 86 - 66. Determine r so that 10*r + 49*r**2 - 40*r**2 - j*r**3 + 26*r**2 = 0.
-1/4, 0, 2
Let x(u) be the first derivative of u**8/1120 + u**7/420 - u**6/180 + 4*u**3 + 4*u - 84. Let i(g) be the third derivative of x(g). Let i(t) = 0. Calculate t.
-2, 0, 2/3
Suppose -3*q - 2*j + 5 = 0, -7*q + 6 = 5*j - 5. Suppose 2*i + 64 = 4*t, t - q*i - 9 - 7 = 0. Suppose -16/3*g + t + 4/9*g**2 = 0. Calculate g.
6
Let c = 29 + 13. Let h be c/15 + 0 + (-3)/(-15). Let -2*k**2 - 14 - 20*k + 0*k**2 - 1 - h*k**2 = 0. Calculate k.
-3, -1
Let n(v) be the first derivative of -2*v**5/45 - v**4/9 + 14*v**3/27 + 8*v**2/9 - 8*v/3 + 1024. Find q such that n(q) = 0.
-3, -2, 1, 2
Let r(k) be the second derivative of 3*k**7/98 - 37*k**6/70 + 106*k**5/35 - 170*k**4/21 + 232*k**3/21 - 8*k**2 - 817*k - 1. What is u in r(u) = 0?
2/3, 2, 7
Let l be (72/(-54))/(148/144 - 1). Let c be l/(-27)*(-11 - 250/(-20)). Factor 0 - 1/3*p**2 - c*p.
-p*(p + 8)/3
Let a(i) be the third derivative of -i**5/15 - 189*i**4/2 - i**2 + 830. Determine d so that a(d) = 0.
-567, 0
What is t in -15*t**3 - 9/4 + 9*t**4 - 13/8*t**5 + 29/4*t**2 + 21/8*t = 0?
-6/13, 1, 3
Let q be (-4065)/2439*39/(-10). Factor -1/2*o**5 + 15/2*o**4 + 0*o + q*o**2 + 0 - 27/2*o**3.
-o**2*(o - 13)*(o - 1)**2/2
Let f(z) be the second derivative of -z**5/20 + 7*z**4/36 + 11*z**3/9 - 4*z**2/3 - 11074*z. Factor f(k).
-(k - 4)*(k + 2)*(3*k - 1)/3
Let q = 49297/248585 + 84/49717. Find y, given that 6 + q*y**2 + 31/5*y = 0.
-30, -1
Let q(o) be the third derivative of 9*o**2 + 0*o + 1/90*o**5 + 0 + 8/9*o**3 + 1/180*o**6 - 5/18*o**4. Suppose q(j) = 0. Calculate j.
-4, 1, 2
Let p(c) = 4*c**3 - 148*c**2 + 142*c - 2. Let i(f) = 24*f**3 - 890*f**2 + 853*f - 13. Let m(a) = -2*i(a) + 13*p(a). Determine t so that m(t) = 0.
0, 1, 35
Let j(q) be the first derivative of 3/11*q**4 + 26/33*q**3 + 8/11*q + 12/11*q**2 - 160 + 2/55*q**5. Let j(u) = 0. Calculate u.
-2, -1
Let l = 119881 + -2757253/23. Suppose l*a - 12/23 - 2/23*a**2 = 0. What is a?
2, 3
Let n(v) = 4*v + 4. Let k be n(0). Solve -13*s + 6 - 20*s**2 + 5*s + 10 + 10*s**3 + 212*s**4 - 208*s**k - 2*s**5 = 0 for s.
-2, -1, 1, 2
Solve -16*q**2 + 2/11*q**4 + 48/11*q**3 - 96/11 - 2/11*q**5 + 224/11*q = 0 for q.
-6, 1, 2
Solve -1930 + 1796 - 29901*p + 31429*p + 4282 + 2028 - 4*p**2 = 0 for p.
-4, 386
Let s(k) be the second derivative of -19*k**2 - 4/51*k**4 + 1/510*k**5 + 27*k + 64/51*k**3 + 0. Let i(j) be the first derivative of s(j). What is d in i(d) = 0?
8
Suppose i + 4*l = 8, 5*l - 10 - 5 = 0. Let o be ((-344)/(-48) - 7)*i/(-2). Suppose 1 + 4/3*g + o*g**2 = 0. What is g?
-3, -1
Let w be -23 - -40 - (15 - 0). Let l(y) be the first derivative of 21 + 6/5*y**2 - w*y - 2/15*y**3. Suppose l(u) = 0. What is u?
1, 5
Solve h**4 + 0*h + 17*h**2 + 30 - 54 + 2*h - 20*h**3 + 12*h**3 = 0 for h.
-1, 2, 3, 4
Suppose 2*l - q + 8 = 0, -9*q + 24*q = 4*l + 172. Factor -1/6*p**l - 968/3 - 44/3*p.
-(p + 44)**2/6
Suppose 84 = -10*x + 4*m, 5*m - 55 + 47 - 97 = 0. Factor 24/11*k**2 + x + 50/11*k**3 + 0*k + 28/11*k**4 + 2/11*k**5.
2*k**2*(k + 1)**2*(k + 12)/11
Let b be (5922/(-70))/9 - -10. Let n(o) be the second derivative of 0 - 3/4*o**4 + 21*o - b*o**5 - 1/10*o**6 + 0*o**2 + 0*o**3. Factor n(x).
-3*x**2*(x + 1)*(x + 3)
Let z be 4 + (6/(-24))/((-1)/(-4)). Let 140*x + 34 + 11 + 27 + 4*x**z + 28 + 44*x**2 = 0. What is x?
-5, -1
Let u(l) be the first derivative of l**4/32 + 5*l**3/8 + 27*l**2/16 - 59*l + 80. Let c(x) be the first derivative of u(x). Factor c(a).
3*(a + 1)*(a + 9)/8
Let a = -6465 + 58118/9. Let j = a + 9. Find q such that -2/9*q**4 - j*q - 4/9 - 2*q**2 - 10/9*q**3 = 0.
-2, -1
Let p(v) be the first derivative of 54/5*v - 28/5*v**3 + 23 + 9/5*v**2 - 1/5*v**6 + 6/5*v**5 - 3/5*v**4. Let p(z) = 0. Calculate z.
-1, 1, 3
Factor -4/3*t**4 + 0 + 100/3*t**3 - 112*t**2 + 0*t.
-4*t**2*(t - 21)*(t - 4)/3
Let h(q) = 21*q**2 + 8633*q + 3423. Let j(l) = -20*l**2 - 8624*l - 3422. Let f(w) = -10*h(w) - 11*j(w). Factor f(y).
2*(y + 853)*(5*y + 2)
Let k(c) be the first derivative of c**4/10 + 4*c**3/3 + 16*c**2/5 - 1188. Let k(w) = 0. What is w?
-8, -2, 0
Suppose d + 32 = i + 40, 24 = d - 5*i. Let v = 6/5 - 13/15. Factor -1/3*q**2 + 1/3*q**d + 1/3*q + 0 - v*q**3.
q*(q - 1)**2*(q + 1)/3
Let b(k) be the third derivative of -k**8/6720 - k**7/1260 + k**6/240 + k**4/3 - k**3/3 - 3*k**2. Let j(d) be the second derivative of b(d). Factor j(y).
-y*(y - 1)*(y + 3)
Suppose 5*a + 5*i = 135, 34*i - 32*i = a - 27. Determine r so that -1 + 5*r - 3*r - r**2 - a + 63 = 0.
-5, 7
Let a be 36*(-32)/(-1728) + (-39)/(-9). Factor 3/5*l + 2/5*l**2 - 2/5 + 0*l**4 - 4/5*l**3 + 1/5*l**a.
(l - 1)**3*(l + 1)*(l + 2)/5
Let a = 595 - 609. Let k be -2*(-4)/(-56)*a/18. Solve 1/9*t**3 + 1/9*t**4 + 2/9 - k*t - 1/3*t**2 = 0.
-2, -1, 1
Let w = -25193 + 25197. Suppose 13 = 4*s - 4*y + 1, -5*y = 5*s - 5. Suppose -2/3*k**w + 2*k**s + 4/3*k + 0 + 0*k**3 = 0. What is k?
-1, 0, 2
Let x be (3 + 100/(-28))*(132 + -166). Let x*l + 4/7*l**2 + 1156/7 = 0. Calculate l.
-17
Let v = 516 - 4642/9. Let y be 54/(-297) + (-28)/(-33). Factor -v*w**2 - 4/9 + y*w.
-2*(w - 2)*(w - 1)/9
Suppose 902*x + 5*m = 905*x - 19, -16 = -4*x + 2*m. Determine z, given that 2/3*z**x + 6*z + 4*z**2 + 8/3 = 0.
-4, -1
Let o = 97430 - 682002/7. Let 2/7*z**2 - o*z + 1/7*z**4 + 0 + 5/7*z**3 = 0. Calculate z.
-4, -2, 0, 1
Let y(z) = 49*z + 150. Let f = 2106 - 2109. Let q be y(f). Determine w, given that 6/17*w**q - 24/17*w + 0 - 32/17*w**2 = 0.
-2/3, 0, 6
Let d = 401 - 417. Let r be (-8)/(-12)*12/d*-3. Factor -1/3*q + 0 - 7/6*q**3 - r*q**2.
-q*(q + 1)*(7*q + 2)/6
Suppose 11*q = 16*q - 10. Suppose -8*y = q*y - 20. Let a(v) = 18*v + 16. Let k(u) = u**2 - 90*u - 80. Let z(j) = y*k(j) + 11*a(j). Factor z(l).
2*(l + 1)*(l + 8)
Suppose 4*c = -5*r + 12, -12 = -16*c + 12*c + 5*r. Let u(h) be the first derivative of 25 - 1/3*h**2 - 2/27*h**c + 20/9*h. Factor u(i).
-2*(i - 2)*(i + 5)/9
Let r(m) be the first derivative of 2*m**3/15 - 271*m**2 - 2712*m/5 - 301. Factor r(l).
2*(l - 1356)*(l + 1)/5
Let j(f) be the second derivative of -4*f + 1/22*f**3 + 1/33*f**4 + 1/220*f**5 + 11 + 0*f**2. Factor j(v).
v*(v + 1)*(v + 3)/11
Let c be 30/2940*1295 - 5/((-140)/8). Factor -27/2*z - 1/2*z**4 + 0 - c*z**2 - 9/2*z**3.
-z*(z + 3)**3/2
Let g = 198698/11661 + -392/23. Let d = 112/169 - g. Factor 2/3*u**5 + d*u + 0 + 0*u**2 + 0*u**4 - 4/3*u**3.
2*u*(u - 1)**2*(u + 1)**2/3
Solve 8/9*w + 0 + 32/9*w**4 - 134/9*w**2 + 94/9*w**3 = 0 for w.
-4, 0, 1/16, 1
Let o(b) = -b**2 - 10*b - 21. Let s be o(-4). Find w, given that 13*w**4 + 19*w**4 + 28*w**3 + 29*w**s + 10*w**2 - 13*w**3 - 2*w + 0*w = 0.
-1, -1/2, 0, 1/8
Let p = 8773 + -8769. Suppose -4*j + 15 = j. What is t in 0 + 1/8*t**2 + 1/2*t - 1/2*t**j - 1/8*t**p = 0?
-4, -1, 0, 1
Let y(t) = -85*t**2 - 15820*t + 4530. Let v(k) = -41*k**2 - 7908*k + 2264. Let m(c) = -5*v(c) + 2*y(c). Factor m(u).
5*(u + 226)*(7*u - 2)
Suppose 3*a + 186 = -5*m, -4*a = 2*m - 2*a + 76. Let y = m + 40. Solve 3*v**2 + 0*v**4 + 29*v**3 + 0*v**2 + v**y - 25*v**3 = 0 for v.
-3, -1, 0
Let b(z) be the third derivative of z**5/40 - 363*z**4/16 + 181*z**3/2 - 378*z**2 + 2. Find h, given that b(h) = 0.
1, 362
Let x(b) = b**3 - 9*b**2 - 2*b + 21. Suppose 0 = -10*w + 9 + 81. Let m be x(w). Find y such that 0*y**m - y**2 - 4*y**3 - 2*y + 0*y**3 + 5*y**3 = 0.
-1, 0, 2
Let z(c) be the first derivative of -48/7*c - 292/7*c**3 + 188/7*c**2 + 39/2*c**4 - 86 - 14/5*c**5. Suppose z(d) = 0. What is d?
2/7, 2, 3
Let o(n) be the second derivative of -1/180*n**5 + 4*n**2 + 9*n + 0*n**4 + 1/360*n**6 + 0*n**3 + 0. Let i(g) be the first derivative of o(g). Factor i(v).
v**2*(v - 1)/3
Factor -55 + 15 + 320*n + 5*n**2 - 208 - 53 - 359.
5*(n - 2)*(n + 66)
Let q(t) be the third derivative of 65*t**2 - 7/180*t**6 + 1/1008*t**8 + 0*t + 0 + 0*t**4 + 0*t**3 + 0*t**5 - 1/126*t**7. Factor q(l).
l**3*(l - 7)*(l + 2)/3
Let k = -17784 - -17784. Let c(l) be the second derivative of 5/6*l**3 + 0*l**6 + 0 + k*l**2 + 0*l**4 - 17*l - 1/2*l**5 + 5/42*l**7. Factor c(t).
5*t*(t - 1)**2*(t + 1)**2
Let q(b) = -2*b + 1. Let n(p) = p**2 - 15*p + 8. Let m(r) = n(r) - 4*q(r). Let y be m(13). Solve 15*c + 65*c + y + 418 + 5*c**2 + 20*c = 0 for c.
-10
Suppose -6 = -40*v + 37*v. Suppose -5*d = 5*q + 21 + 4, 20 = -