 -2*u - g*u**2 + 0 = 0.
-4, 0
Let f(q) be the third derivative of -25*q**2 + 25/24*q**3 + 1/240*q**5 + 0 + 0*q - 5/48*q**4. What is v in f(v) = 0?
5
Let m(a) = a**2 - 22*a - 100. Let i be m(26). Let x be (((-112)/i)/7)/(-14). Determine b so that 0*b - 2/7*b**2 + x = 0.
-1, 1
Let j(i) be the second derivative of i**4/6 + 8*i**3/3 + 2*i**2 - 16*i. Let b be j(-8). Suppose b*s**3 + 7 + 0*s - 20*s - 4*s**2 - 19 = 0. What is s?
-1, 3
Suppose -5992 + 5994 = -0*c + c. Factor 2/13*j**c + 10/13*j - 28/13.
2*(j - 2)*(j + 7)/13
Let n(s) be the second derivative of -3/34*s**4 + 1 - 1/170*s**5 - 20/17*s**2 + 240*s - 8/17*s**3. Determine o so that n(o) = 0.
-5, -2
Let b be ((-1)/2)/((-2)/48*4). Factor 3*t**5 - 127*t**4 - 7*t**b + 132*t**4 - 4*t**5 + 3*t**2.
-t**2*(t - 3)*(t - 1)**2
Suppose -20*u - 7*u = -2862. Suppose -q + u = 5*k, -q - 26 + 27 = 0. Solve 3/2*y**5 - 9*y**4 + k*y**3 + 27/2*y - 3 - 24*y**2 = 0 for y.
1, 2
Let h(l) = 3*l**2 - 9 + 0*l - 5*l + l - l. Let g be h(7). Suppose 1 - 4*u + 6*u - 102*u**2 + g*u**2 = 0. Calculate u.
-1
Let g(o) be the third derivative of -5*o + 0*o**4 + 0*o**3 - 3/455*o**7 + 4/195*o**6 + 0 + 2/195*o**5 - o**2. Let g(l) = 0. What is l?
-2/9, 0, 2
Let a(d) be the second derivative of d**6/105 + 401*d**5/140 + 1716*d**4/7 + 16335*d**3/14 - 60*d + 1. Solve a(y) = 0.
-99, -5/2, 0
Suppose -7*s + 498 - 64 = 0. Let -35 - 60*c - 45*c**2 - 5*c**3 - s*c + 47*c = 0. What is c?
-7, -1
Suppose 0 = -67*t + 73*t. Let n be (-846)/(-1539) + (t - 10/95). Factor 14/9*a**2 + 0 - 8/9*a**3 + n*a.
-2*a*(a - 2)*(4*a + 1)/9
Let s(a) be the third derivative of a**6/540 - 14*a**5/15 - 253*a**4/108 + 2822*a**2. Factor s(p).
2*p*(p - 253)*(p + 1)/9
Let i(j) be the third derivative of j**8/168 - 16*j**7/105 - 221*j**6/30 + 1586*j**5/15 + 23947*j**4/4 + 71148*j**3 - 6*j**2 + 34. Determine b so that i(b) = 0.
-11, -4, 21
Determine n, given that 152/3 + 26*n + 1/3*n**2 = 0.
-76, -2
Let f(q) be the third derivative of 1/40*q**5 + 0*q - 1/60*q**6 - 1/3*q**3 + 69*q**2 + 1/12*q**4 + 0 + 1/420*q**7. Factor f(m).
(m - 2)**2*(m - 1)*(m + 1)/2
Factor -288/5*h - 1296/5 + 4/5*h**3 + 12/5*h**2.
4*(h - 9)*(h + 6)**2/5
Let n be ((-12)/16*340/595)/(4/(-7)). Factor 0 - 1/4*u**4 + 1/4*u**3 + 5/4*u**2 + n*u.
-u*(u - 3)*(u + 1)**2/4
Suppose 112*g**2 - 4*g**3 + 3136 - 39603*g + 41107*g + 52*g**2 = 0. Calculate g.
-4, 49
Suppose -4*n = 2*v - 30, -4*v + 7*v = 3*n + 18. Let d(q) = q - 7. Let w be d(v). Find u, given that -u - 5*u + w*u**5 + 20*u**3 - 6*u**5 - 10*u = 0.
-2, -1, 0, 1, 2
Let b(z) = -z**3 - 95*z**2 + 2304*z + 1. Let g(y) be the third derivative of -y**6/60 + y**5/60 + y**3/6 + 85*y**2 - 1. Let m(p) = -b(p) + g(p). Factor m(i).
-i*(i - 48)**2
Let c = 1065 + -1070. Let t be (-3)/(-2) + ((-63)/18 - c). Find o such that -6/5*o**4 + 6/5*o**2 + 12/5*o**t + 0 - 12/5*o = 0.
-1, 0, 1, 2
Let p = 324353 + -648701/2. Factor -1/4*i**2 - 9/4 - p*i.
-(i + 1)*(i + 9)/4
Let g(m) be the third derivative of -m**7/105 - 7*m**6/60 + 3*m**4 + 1199*m**2. Let g(x) = 0. Calculate x.
-6, -3, 0, 2
Factor 744/23*n - 746/23 + 2/23*n**2.
2*(n - 1)*(n + 373)/23
Suppose 2*c + 37*c = 624. Suppose -c*t = -8*t. Factor -1/3*n**2 + 0 + t*n.
-n**2/3
Let h(q) = -2*q + 33. Suppose -7*s + 101 = -4. Let i be h(s). Factor 55*b - 17*b**3 - 15 + 14*b**3 - 12*b**i - 25*b**2.
-5*(b - 1)*(b + 3)*(3*b - 1)
Let k(o) be the first derivative of -24*o**5/65 - 7*o**4/26 + 98*o**3/39 + 16*o**2/13 - 56*o/13 - 3945. Suppose k(a) = 0. Calculate a.
-2, -1, 2/3, 7/4
Let i(s) = s**3 - 20*s**2 - 14*s + 10. Let q(k) = 10*k**2 + 8*k - 4. Let x(r) = 2*i(r) + 5*q(r). Factor x(b).
2*b*(b + 2)*(b + 3)
Let u = 101 + 50. Suppose -3*z + u = 34. Let -25*x**2 - 55*x + x**4 + 36*x**3 + z*x**3 - 13*x**5 + 30 - 6*x**4 - 7*x**5 = 0. Calculate x.
-2, -1, 3/4, 1
Let u be (554/9 - (-440)/132) + 2 + 20/(-2). Factor 2/9*d**4 + 20/3*d**3 + 386/9*d**2 - 320/3*d + u.
2*(d - 1)**2*(d + 16)**2/9
Find o, given that -83*o**3 + 67*o**3 + 52*o + 12*o**2 - 48*o = 0.
-1/4, 0, 1
Let a be (-42276)/1092 + 1 + 38. Determine v, given that 0 - 2*v + 16/7*v**2 - a*v**3 = 0.
0, 1, 7
Let a(f) be the second derivative of 0*f**3 + 13*f + 1/20*f**5 + 0*f**2 + 1/120*f**6 + 0 + 1/16*f**4. Factor a(d).
d**2*(d + 1)*(d + 3)/4
Let m(n) be the second derivative of n**5/80 + 103*n**4/24 + 409*n**3/24 + 51*n**2/2 + 6*n - 28. Find p, given that m(p) = 0.
-204, -1
Let t(b) be the first derivative of b**4/12 - 5*b**3/6 - 13*b - 8. Let g(l) be the first derivative of t(l). Factor g(y).
y*(y - 5)
Suppose 0 = 4*x + 3 - 23. Suppose -2*z = -x - 5. Factor 2 - 13*t**2 + 3*t**4 + z*t**3 - 6*t**5 - 4 + 4*t**5 + 9*t.
-(t - 1)**3*(t + 2)*(2*t - 1)
Suppose -652 - 683 = -87*l - 2*l. Let c(i) be the first derivative of -7 + 5/3*i**3 - l*i**2 + 45*i. Find g such that c(g) = 0.
3
Let z = 514 + -509. Suppose 0 = 2*n - f - 1, 5*n - 13 = -z*f + 12. Factor -1/3 - 2/3*p**n + 1/6*p**3 + 5/6*p.
(p - 2)*(p - 1)**2/6
Suppose 4*d - 4 + 24 = v, -4*v - 22 = d. Let i be 2/d*-3*27. Factor i*h**2 - 13*h**2 + 3*h**3 + h + h**4 - 11*h**2.
h*(h + 1)**3
Let l(k) be the third derivative of 1/10*k**3 - 1/200*k**6 - 114*k**2 + 1/60*k**5 + 11/120*k**4 + 0*k - 2. Solve l(y) = 0 for y.
-1, -1/3, 3
Find h such that -3/5*h**2 + 114/5*h + 117/5 = 0.
-1, 39
Let 0*s + 1/10*s**3 + 0 + 2/5*s**2 = 0. Calculate s.
-4, 0
Suppose -n - 3 = 3*u, 59*u = 60*u - 3*n - 29. Factor 0 - 2/5*w**4 + 0*w - 4/5*w**u - 6/5*w**3.
-2*w**2*(w + 1)*(w + 2)/5
Let j be (-6)/66 + 46/22. What is q in -22*q**2 - q**3 + 3*q + 19*q**2 - 3 - 2*q**j - 10*q = 0?
-3, -1
Suppose 167*x - 72 = 176*x. Let c be x/(-76) + ((-236)/76 - -3). Factor 1/6*w**3 + c - 1/3*w - 1/6*w**2.
w*(w - 2)*(w + 1)/6
Let x(d) be the second derivative of -1/12*d**4 - 7/6*d**3 - 3*d**2 + 0 - 17*d. Factor x(y).
-(y + 1)*(y + 6)
What is t in -2/23*t**4 - 304/23*t**3 + 302/23 - 300/23*t**2 + 304/23*t = 0?
-151, -1, 1
Let w(c) be the first derivative of 294/5*c**2 - 117 + 3*c**4 - 3/25*c**5 - 126/5*c**3 + 1029/5*c. Suppose w(l) = 0. What is l?
-1, 7
Let k(t) = t**2 - 2*t - 2. Suppose -30 = -f - 22. Suppose 0 = -f*v + 5*v + 6. Let o(p) = -2*p**2 + 5*p + 5. Let x(a) = v*o(a) + 5*k(a). Let x(q) = 0. What is q?
0
Let y(v) be the first derivative of -2/45*v**5 + 1/18*v**4 - 4 + 8/9*v**3 + 32/9*v - 28/9*v**2. Suppose y(q) = 0. Calculate q.
-4, 1, 2
Let o(z) be the first derivative of 32/19*z + 48/19*z**2 + 35 + 18/95*z**5 + 16/19*z**4 + 112/57*z**3 + 1/57*z**6. What is x in o(x) = 0?
-2, -1
Let u(k) = k**4 + 76*k**3 - 232*k**2 + 246*k - 79. Let x(w) = -w**4 - 75*w**3 + 228*w**2 - 248*w + 78. Let i(l) = 3*u(l) + 2*x(l). What is z in i(z) = 0?
-81, 1
Let p(s) be the first derivative of s**4/7 - 668*s**3/21 + 1304*s**2/7 - 3575. Suppose p(j) = 0. What is j?
0, 4, 163
Factor -1739*d - 6*d - d**2 + 317*d - 509796.
-(d + 714)**2
Let w(m) be the second derivative of -4*m**6/165 - 5*m**5/22 - m**4/33 + 25*m**3/33 + 6*m**2/11 + 263*m + 4. What is z in w(z) = 0?
-6, -1, -1/4, 1
Let i(n) be the second derivative of 7/135*n**6 + 0*n**2 + 0*n**4 - 99 + 0*n**3 + 5/189*n**7 - n + 1/45*n**5. Let i(w) = 0. What is w?
-1, -2/5, 0
Let f = -626/113 - -4721/791. Factor -9/7*z**3 - 9/7*z**2 - 3/7*z**4 + 0 - f*z.
-3*z*(z + 1)**3/7
Factor 5/2*v**2 - 270*v - 545/2.
5*(v - 109)*(v + 1)/2
Let m(b) = b**2 - b - 13. Let p be m(-4). Suppose 10*a - 27 = p*a. Factor 24*v**3 + 0*v**2 + 4*v**5 + 16*v**2 + 7*v**4 + a*v**4 + 4*v.
4*v*(v + 1)**4
Solve 0 + 1/5*a**5 - 6/5*a**2 + 4/5*a**4 + 0*a + 1/5*a**3 = 0.
-3, -2, 0, 1
Let u(r) be the first derivative of -5*r**3/3 + 345*r**2/2 - 670*r - 202. Let u(d) = 0. Calculate d.
2, 67
Let b(u) be the third derivative of -3/140*u**5 + 1/168*u**6 - 1/21*u**3 + 6 + 1/24*u**4 - 1/1470*u**7 + 0*u - 5*u**2. Solve b(x) = 0.
1, 2
Let w(r) = r**3 + 4*r**2 - 22*r - 72. Let g be w(-3). Suppose 15*d - 5*d**g + 15*d - 36*d + 10*d + d**3 = 0. What is d?
-1, 0, 1
Let z(h) be the third derivative of -h**8/7560 + h**7/756 - 2*h**6/405 + h**5/135 + 59*h**3/6 + 4*h**2. Let i(o) be the first derivative of z(o). Factor i(q).
-2*q*(q - 2)**2*(q - 1)/9
Let l(g) be the third derivative of g**7/1365 - g**6/156 - 11*g**5/195 + 14*g**4/39 + 177*g**2 - 7*g - 1. Suppose l(x) = 0. What is x?
-4, 0, 2, 7
Suppose -67*u**3 + 3/5*u**4 - 6272/5 + 9294/5*u**2 + 672*u = 0. Calculate u.
-1, 2/3, 56
Let y(u) be the third d