*(v - 1)*(v + 3)/7
Suppose 25*h - 453 + 378 = 0. Let a(i) be the second derivative of 0 + 0*i**2 + 32*i + 1/21*i**4 + 2/21*i**h. Factor a(k).
4*k*(k + 1)/7
Suppose -910 = 456*l - 638*l. Solve -8/9*k**2 + 2/3*k**3 + 2/9*k**l + 0 - 8/9*k + 8/9*k**4 = 0 for k.
-2, -1, 0, 1
Let q(r) be the third derivative of 5*r**8/112 + 7*r**7/6 + 131*r**6/24 + 7*r**5/12 - 65*r**4/4 + 6728*r**2. What is f in q(f) = 0?
-13, -3, -1, 0, 2/3
Let y(f) be the first derivative of 1/21*f**3 - 19/7*f + 41 - 9/7*f**2. Suppose y(n) = 0. What is n?
-1, 19
Let g(h) be the first derivative of -4 + 5/18*h**6 - 1/3*h**5 - 5/6*h**4 + 0*h**3 + 0*h + 0*h**2. Let g(n) = 0. Calculate n.
-1, 0, 2
Suppose 36*p - 336 = 28*p. Factor -p*o**3 + 44*o**2 + 4*o**4 + 13*o**3 - 48 - 23*o**3 + 34*o + 18*o.
4*(o - 12)*(o - 1)**2*(o + 1)
Suppose -3*i + 28*i - 150 = 0. Factor -i + 6*u**2 - 3*u**5 - 9*u + 12*u**3 + 3788*u**4 - 3788*u**4.
-3*(u - 2)*(u - 1)*(u + 1)**3
Let r(d) be the third derivative of -64*d**2 + 17/14*d**3 + 0 + 3/28*d**5 - 33/56*d**4 + 1/280*d**6 + 0*d. Factor r(q).
3*(q - 1)**2*(q + 17)/7
Let c(p) be the first derivative of 4*p**3/15 + 34*p**2/5 - 1232*p/5 + 2797. Let c(m) = 0. What is m?
-28, 11
Let m(g) be the first derivative of 2*g**5/35 - 597*g**4/14 + 179986*g**3/21 - 265815*g**2/7 + 352836*g/7 - 627. Determine f, given that m(f) = 0.
1, 2, 297
Let p(x) be the third derivative of x**9/423360 + x**8/35280 - 19*x**5/20 - 89*x**2. Let k(a) be the third derivative of p(a). Factor k(y).
y**2*(y + 4)/7
Let k(c) be the second derivative of -c**7/12600 - c**6/1200 - 3*c**4 - 183*c. Let f(o) be the third derivative of k(o). Factor f(i).
-i*(i + 3)/5
Suppose c - q = 9, -4*c + 706 = -q + 688. Factor 34/7 - 34/7*u**2 + 2/7*u**c - 2/7*u.
2*(u - 17)*(u - 1)*(u + 1)/7
Let d(x) be the first derivative of -3*x**5/140 - 11*x**4/28 + 13*x**3/7 - 162*x - 72. Let j(o) be the first derivative of d(o). Suppose j(p) = 0. Calculate p.
-13, 0, 2
Let h(z) be the third derivative of z**6/60 + 22*z**5/5 + 363*z**4 - 84*z**2 - 32. Factor h(u).
2*u*(u + 66)**2
Let t(i) = -5*i**3 + 2*i**2 + 39*i - 36. Let a(k) = 13*k**3 - 2*k**2 - 115*k + 108. Let g(r) = 3*a(r) + 8*t(r). Find u such that g(u) = 0.
3, 4
Let w = 31 - 26. Let d be (3/2 + (-10)/w)*-2. Factor 5*z**2 - 5 + d - 6 - 5*z.
5*(z - 2)*(z + 1)
Suppose -3*p = 5*p - 32. Suppose -3*r + 9 = -0*j + 4*j, -5*r = p*j - 15. Let -1/5*f**2 + 1/5*f**4 + 0 + 0*f + 1/5*f**r - 1/5*f**5 = 0. Calculate f.
-1, 0, 1
Let h = 70 + -70. Suppose j = 5*n + 30, 5*j + 3*n - 4*n - 54 = h. Determine s so that -18*s**2 + 12*s - 7*s**4 + j*s**4 - 9 + 12*s = 0.
-3, 1
Let v be (-7)/(-70) + 98/420. Let b(y) be the first derivative of 26 + y**2 + v*y**3 + 3/7*y - 1/7*y**4. Solve b(l) = 0 for l.
-1, -1/4, 3
Let j = 103 + -60. Let k = -41 + j. Factor 0*s**4 - 2*s**4 - 72 + 2*s**5 + 72 + 2*s**k - 2*s**3.
2*s**2*(s - 1)**2*(s + 1)
Let n be ((-24)/28*1022/(-730))/(6/(-10) - -1). Suppose 0 - 9*y**2 - 3/7*y**4 - 36/7*y**n - 30/7*y = 0. What is y?
-10, -1, 0
Factor -852*s**3 - 839*s**3 + 1568 + 28*s + 1690*s**3 - 20*s**2.
-(s - 8)*(s + 14)**2
Let d(i) be the third derivative of 1/2856*i**8 + 1/255*i**7 - 21*i**2 + 0*i**3 + 0*i**4 + 0*i**6 + 0*i + 0*i**5 + 0. Suppose d(c) = 0. Calculate c.
-7, 0
Suppose 389*i + 16137 - 18471 = 0. Factor i - 7/2*b + 1/2*b**2.
(b - 4)*(b - 3)/2
Let b(w) be the third derivative of w**6/60 - 4*w**5/3 - w**2 - 98*w. Let b(u) = 0. Calculate u.
0, 40
Let t = -298987/9 + 33221. Factor 2/3 - 4/9*z**2 - t*z.
-2*(z - 1)*(2*z + 3)/9
Let m be -176 + 178 + (14/60 - 0)*-8. Let g(w) be the third derivative of 0*w - 23*w**2 + 0 + 8/15*w**5 - 19/30*w**6 + m*w**7 + 2/3*w**4 + 0*w**3. Factor g(z).
4*z*(z - 2)*(z - 1)*(7*z + 2)
Let k = -59 + 67. Suppose -k*q + 14 = -q. What is i in i**q - 8 + 7*i**2 - 240*i + 242*i - 2*i**3 = 0?
-1, 1, 4
Suppose -103098*b - 114 = -103136*b. Let w be 3/9 + (-10)/(-6). Factor 2/3*c**5 + 0*c - 2/3*c**b + 0*c**4 + 0*c**w + 0.
2*c**3*(c - 1)*(c + 1)/3
Find u such that -214/5*u + 176/5 + 8*u**2 - 2/5*u**3 = 0.
1, 8, 11
Let k be -16 - 8*(-7 - 41)*48/1008. Suppose k*x - 12/7 - 11*x**4 + 146/7*x**3 + 251/7*x**2 = 0. What is x?
-1, -2/7, 2/11, 3
Let t(x) be the third derivative of 1/20*x**5 + 0*x**3 + 97*x**2 + 0*x + 0 + 7/8*x**4. Find s such that t(s) = 0.
-7, 0
Suppose 7 = -384*c - 66*c + 6 + 1. Let c*g**3 + 1/2*g**4 + 0 + 0*g - 2*g**2 = 0. What is g?
-2, 0, 2
Let p = -1026 + 1741. Let p*q**3 + 26*q + 681*q**3 - 4*q**2 - 1422*q**3 + 4 = 0. What is q?
-1, -2/13, 1
Let p(m) be the second derivative of -1/3*m**4 - 143 - 1568*m**2 - 112/3*m**3 - m. Factor p(i).
-4*(i + 28)**2
Suppose 0*a - a + 12*a = 0. Suppose 12*g - 9*g = 3*z + 3, a = -2*z + 6. Solve -4/7*u**2 + 2/7*u**5 - 4/7*u**3 + 2/7*u + 2/7 + 2/7*u**g = 0.
-1, 1
Let 768*q - 672 - 195/2*q**2 + 3/2*q**3 = 0. What is q?
1, 8, 56
Let u(m) be the first derivative of -2/15*m**3 - 133 + 16/5*m + 2/5*m**2. Factor u(t).
-2*(t - 4)*(t + 2)/5
Factor -3/7*z**3 + 149508096/7 + 3312/7*z**2 - 1218816/7*z.
-3*(z - 368)**3/7
Let q(s) be the first derivative of -5*s**6/12 - 33*s**5/2 + 991. Factor q(c).
-5*c**4*(c + 33)/2
Suppose 0 = -3*d - 5*a + 5, 45*d + 2 = 42*d + 2*a. Suppose 8*c + 4*l + 34 = 13*c, -c + 3*l + 9 = d. Find f such that 3/5*f**2 + c*f + 15 = 0.
-5
Let j(h) = 30*h - 687. Let q be j(23). Let f(o) be the first derivative of -o**3 + 3/4*o**4 - 3/2*o**2 - 13 + q*o. Find l, given that f(l) = 0.
-1, 1
Let o(x) = 88*x**3 + 2*x**2 - x. Let c be o(1). Factor 3*y**2 + 234*y + 0*y**2 - c - 148.
3*(y - 1)*(y + 79)
Let a(x) = -3*x**2 - 43*x - 40. Let s(q) = 7 + 16 + 2*q**2 + 3 - 6 + 22*q. Let o be (-4)/16*(-28)/1. Let c(k) = o*s(k) + 3*a(k). Determine w so that c(w) = 0.
-4, -1
Let f(c) be the third derivative of 3*c**2 - 1/20*c**5 + 0*c**3 + 3/8*c**4 + 1/480*c**6 + 11*c + 0. Suppose f(x) = 0. Calculate x.
0, 6
Let t = 56 + -40. Let h be 4 - 4*4/t. Factor 30*b**2 - 11*b - 34*b - 8*b**3 + 3*b**h.
-5*b*(b - 3)**2
Let o be (-1 - (-220)/30) + -5. Let k(s) be the first derivative of 17 + 16*s**2 + o*s**3 + 48*s. Factor k(h).
4*(h + 2)*(h + 6)
Let b(i) = 509*i - 2034. Let q be b(4). Factor -8/3 + 4/3*x**3 + 6*x**2 + q*x.
2*(x + 1)*(x + 4)*(2*x - 1)/3
Let k(m) be the second derivative of m**7/1260 + m**6/180 - m**5/18 - 10*m**3/3 - m**2 + 7*m - 9. Let q(l) be the second derivative of k(l). Factor q(f).
2*f*(f - 2)*(f + 5)/3
What is u in 0*u - 2/5*u**3 + 0 + 604/5*u**2 = 0?
0, 302
Let w(t) = -3*t - 33. Let g be w(-17). Factor -25*s - 5*s**2 - g*s + 18*s - 30.
-5*(s + 2)*(s + 3)
Let u = -2473 - -2475. Let c(q) be the second derivative of -8/17*q**u - 1/102*q**4 + 0 - 4*q + 3/17*q**3. What is t in c(t) = 0?
1, 8
Let i = 227401 + -1591719/7. Factor 18/7*h**3 - i - 174/7*h**2 - 256/7*h.
2*(h - 11)*(3*h + 2)**2/7
Let x = -299 - -256. Let t = x + 133/3. Let -t + 3*p**2 + 16/3*p = 0. What is p?
-2, 2/9
Let v(t) = t**2 - 39*t - 80. Let m be v(41). Let h be ((-48)/((-18)/3))/(7/m). Suppose -32/7 - 2/7*z**2 - h*z = 0. What is z?
-4
Let y = 303/52 - 751/130. Let h(a) be the third derivative of -1/300*a**5 + 0*a + 30*a**2 - 3/10*a**3 + 0 + y*a**4. Find q such that h(q) = 0.
3
Let n(p) be the second derivative of p**5/30 - 5*p**4/12 + 4*p**3/3 - 68*p**2 + 33*p. Let r(u) be the first derivative of n(u). What is q in r(q) = 0?
1, 4
Solve -1008*u + 149*u - 1233*u - 3126*u - u**2 - 6806881 = 0.
-2609
Let f(o) = -17*o**2 - 11*o - 170. Let y(r) = -6*r**2 - 57. Let p(u) = -3*f(u) + 8*y(u). Let p(s) = 0. Calculate s.
-9, -2
Let t(x) be the third derivative of 82*x**2 + 0*x - 1/2*x**3 + 19/72*x**4 + 1/360*x**6 - 11/180*x**5 + 0. Factor t(f).
(f - 9)*(f - 1)**2/3
Let y be 12/8*4/(-3)*-2. Let z be 1/(-3) - (-28)/12. Suppose -10*c**4 - 70*c**y + 76*c**2 + 18*c**5 + 4 + z*c**5 - 34*c + 2*c**3 + 12*c**5 = 0. What is c?
-1, 1/4, 1, 2
Factor -311*m + m**3 + 149*m + 204 - 103*m**2 + 262*m.
(m - 102)*(m - 2)*(m + 1)
Determine d so that 0 + 112/9*d + 104/9*d**3 + 4/9*d**4 - 220/9*d**2 = 0.
-28, 0, 1
Let i(h) = -h**3 + 10*h**2 - 24*h - 1. Let m be i(5). Find c such that -4*c**m + 21*c**3 - 416*c - 57*c**3 + 15*c**2 - 256 - 20*c**3 - 255*c**2 = 0.
-8, -2
Suppose 508/7*k**2 + 354/7*k - 356/7*k**3 - 558/7 + 50/7*k**4 + 2/7*k**5 = 0. What is k?
-31, -1, 1, 3
Let c(x) be the second derivative of x**5/120 - x**4/18 - 11*x**3/36 - x**2/2 + x + 407. Determine