 + 1 = -2*b - 2*j. What is g in -96*g**4 + 16 + 96*g**b + 17 + 3*g**5 - 3*g**3 + 18 - 51 = 0?
-1, 0, 1, 32
Let t(o) = 9*o**2 - 58*o + 208. Let b(z) = -2*z**2 + z - 8. Let k(g) = 5*b(g) + t(g). Determine d so that k(d) = 0.
-56, 3
Let n = -135439/3 + 45149. What is p in 10*p + n*p**2 + 12 + 2/9*p**3 = 0?
-6, -3
Suppose 0 = -145*r - 93*r. Let o(s) be the third derivative of r*s + 0 + 1/96*s**4 - 1/4*s**3 + 1/240*s**5 + 39*s**2. Determine q so that o(q) = 0.
-3, 2
Let d = -27 - -162. Suppose 3*r - d = -6*r. What is g in -29*g**4 + 4*g**5 - 4*g**5 + 10*g + r*g**2 - 5*g**3 - 5*g**5 + 14*g**4 = 0?
-2, -1, 0, 1
Let d = -321 - -323. Factor -d*o**2 - 3*o**4 + 0*o**4 - o - o**5 - o**4 + o - 5*o**3.
-o**2*(o + 1)**2*(o + 2)
Let z be 4 - ((-50611)/749 + 15 + 6). Find y such that -z*y + 117/7 + 9/7*y**2 = 0.
1/3, 39
Let k be (-18 + 22)*(2*(-45)/20 - -5). What is y in 12/5 + 14/5*y - k*y**3 - 8/5*y**2 = 0?
-1, 6/5
Let d(t) be the first derivative of -8/5*t - 2/5*t**3 - 14 + 1/20*t**4 - 3/2*t**2. Suppose d(y) = 0. What is y?
-1, 8
Let h(u) be the third derivative of -u**7/2310 - u**6/120 - u**5/20 - 37*u**4/264 - 7*u**3/33 + 2729*u**2. Find z such that h(z) = 0.
-7, -2, -1
Let t be 872/(-6322) - (-3415)/580. Factor -5*i**2 - 5/4*i**4 + 0 - 3*i + t*i**3.
-i*(i - 3)*(i - 2)*(5*i + 2)/4
Let u(j) be the first derivative of j**9/4536 - j**8/2520 - j**7/1260 + j**6/540 - 14*j**3 + 52. Let i(b) be the third derivative of u(b). Factor i(h).
2*h**2*(h - 1)**2*(h + 1)/3
Factor 2/9*z**4 - 134/3*z**2 - 10*z**3 + 490/9*z + 0.
2*z*(z - 49)*(z - 1)*(z + 5)/9
Let d = 256/113 - -1492/339. Let u(a) be the first derivative of -96/5*a**5 - d*a**3 + 0*a + 0*a**2 + 21*a**4 + 8/3*a**6 + 39. Let u(o) = 0. Calculate o.
0, 1/2, 5
Find a such that -117376*a**2 + 4*a**4 + 117566*a**2 - 2*a**4 + 48*a**3 = 0.
-19, -5, 0
Let g(y) be the third derivative of 100*y**2 - 3/70*y**7 + 0*y**3 + 0*y - 11/20*y**5 - 1/2*y**6 + 3/4*y**4 + 0. Suppose g(q) = 0. Calculate q.
-6, -1, 0, 1/3
Find w such that 8*w + 1/6*w**3 + 49/6*w**2 + 0 = 0.
-48, -1, 0
Suppose -58101*s + 58169*s = 0. Find m such that 6/5*m + 2/5*m**4 + s + 14/5*m**2 + 2*m**3 = 0.
-3, -1, 0
Let m(b) be the third derivative of b**6/540 + b**5/30 + 2*b**4/9 - 31*b**3/6 + 3*b**2 - 3. Let v(s) be the first derivative of m(s). Factor v(i).
2*(i + 2)*(i + 4)/3
Let n(x) be the first derivative of -25 + 9/20*x**5 - 44*x - 1/2*x**4 + 0*x**2 - 1/10*x**6 + 0*x**3. Let j(p) be the first derivative of n(p). Factor j(a).
-3*a**2*(a - 2)*(a - 1)
Let n(y) = 3*y**4 + y**2 - 1. Let s = -197 + 212. Let i(x) = -48*x**4 - 6*x**3 + 6*x**2 - 12*x + 15. Let h(b) = s*n(b) + i(b). Solve h(k) = 0.
-4, 0, 1
Suppose -4*p = -l + 5, 31 - 21 = 2*l - 5*p. Let q(v) be the first derivative of -10/3*v**3 + 4*v**l - 5*v**4 + 25/2*v**2 - 14 - 10*v - 5/6*v**6. Factor q(w).
-5*(w - 2)*(w - 1)**3*(w + 1)
What is l in 668*l**2 + 126 - 39*l + 672*l**2 - 1337*l**2 = 0?
6, 7
Let q(h) be the second derivative of -h**4/20 - 37*h**3 + 1116*h**2/5 + 2210*h. Let q(a) = 0. What is a?
-372, 2
Let m be (21 - 14)*(366/42 - 8). Let g(z) be the third derivative of 0*z**3 - 1/20*z**m + 21*z**2 + 0 + 3/200*z**6 + 1/20*z**4 + 0*z. Solve g(f) = 0.
0, 2/3, 1
Let k(t) be the second derivative of t**6/30 - 1181*t. Let f(v) = -2*v**2 - v**3 + 4*v**4 + 2*v + 3*v**2 - v**3. Let q(b) = 2*f(b) - 10*k(b). Factor q(o).
-2*o*(o - 1)*(o + 1)*(o + 2)
Let j(f) be the second derivative of f**5/90 + 71*f**4/54 + 136*f**3/3 - 144*f**2 + f - 157. Suppose j(i) = 0. Calculate i.
-36, 1
Let w(y) = -6*y**4 - 936*y**3 - 14601*y**2 - 2886*y - 9. Let h(n) = 3*n**4 + 937*n**3 + 14601*n**2 + 2887*n + 12. Let u(j) = 3*h(j) + 4*w(j). Factor u(c).
-3*c*(c + 31)**2*(5*c + 1)
Let l(h) be the second derivative of 1/4*h**4 + 3*h + 3/20*h**5 + 6 + 0*h**2 - h**3. Determine o, given that l(o) = 0.
-2, 0, 1
Let b(x) be the first derivative of 0*x + 1/16*x**2 + 7/32*x**4 + 3/40*x**5 + 11 + 5/24*x**3. Factor b(q).
q*(q + 1)**2*(3*q + 1)/8
Let r = -166 - -168. Find m such that 49*m**2 - 97*m**2 + 54*m**r - 9*m**3 + 21*m + 6 = 0.
-1, -1/3, 2
Let q(x) be the first derivative of x**3/21 + 33*x**2/7 + 27*x - 391. Factor q(j).
(j + 3)*(j + 63)/7
Let a be (5 - (23 - 7)) + 16. Let n(z) be the third derivative of -1/270*z**6 + 1/54*z**4 + 0*z + 0*z**3 - 4*z**2 - 2/945*z**7 + 0 + 1/135*z**a. Factor n(y).
-4*y*(y - 1)*(y + 1)**2/9
Suppose 59/2 - 1/4*d**2 + 117/4*d = 0. Calculate d.
-1, 118
Factor 5312/3*d - 14738/9*d**2 - 512 - 50/9*d**4 + 1660/9*d**3.
-2*(d - 16)**2*(5*d - 3)**2/9
Let r(l) be the first derivative of 0*l**2 + 0*l**3 - 1/24*l**4 + 1/120*l**5 - 16 + 2*l. Let t(g) be the first derivative of r(g). Factor t(b).
b**2*(b - 3)/6
Let o(h) be the first derivative of -2*h**3 - 1/3*h**4 + 14*h + 6 - 4*h**2. Let w(c) be the first derivative of o(c). Find n, given that w(n) = 0.
-2, -1
Let m = 147 + -2635/18. Let y(r) be the first derivative of -2/3*r - 11 + 5/12*r**4 - m*r**3 - 4/3*r**2. Factor y(a).
(a - 2)*(2*a + 1)*(5*a + 2)/6
Suppose -160*x = x - 322. Let t(u) be the first derivative of -1/16*u**4 - 507/8*u**x + 13/4*u**3 + 36 + 2197/4*u. Factor t(o).
-(o - 13)**3/4
Suppose 1/3*u**3 + 4*u**2 + 100 - 145/3*u = 0. Calculate u.
-20, 3, 5
Factor 5209*d**2 - 10424*d**2 + 350*d + 5210*d**2 + 918 + 192 + 5*d.
-5*(d - 74)*(d + 3)
Let h(l) be the third derivative of -l**8/588 + 43*l**6/210 - 2*l**5/3 - 26*l**4/7 + 80*l**3/3 + 4207*l**2. Determine y so that h(y) = 0.
-7, -2, 2, 5
Factor -312*m - 60840 - 2/5*m**2.
-2*(m + 390)**2/5
Let z(o) = 2*o**3 - o**2 - 51*o - 22. Let v be z(8). Let b = v - 528. Solve -2/3*f**b + 1/3*f**5 - 2/3*f**3 + 1/3*f + 1/3*f**4 + 1/3 = 0.
-1, 1
Let p(o) be the third derivative of -1/60*o**6 + 0 + 2/15*o**5 - 4/3*o**3 + 24*o**2 + 0*o + 1/12*o**4. Factor p(b).
-2*(b - 4)*(b - 1)*(b + 1)
Suppose -6498/13*i**2 + 2/13*i**5 + 0*i + 0 + 226/13*i**4 + 6270/13*i**3 = 0. What is i?
-57, 0, 1
Let y(d) be the second derivative of 0 - 1/21*d**3 - 1/140*d**5 - 1/30*d**6 + 0*d**2 + 62*d + 1/98*d**7 + 1/12*d**4. Find n such that y(n) = 0.
-1, 0, 1/3, 1, 2
Let y(v) = -21*v**3 + 8*v**2 + 29*v - 13. Let r be (1*-4)/(-7 + (-23)/(-3)). Let t(w) = 10*w**3 - 4*w**2 - 14*w + 6. Let c(x) = r*y(x) - 13*t(x). Factor c(q).
-4*q*(q - 2)*(q + 1)
Let r = 907977 - 907975. Factor -3/2*u**r - 30*u + 0.
-3*u*(u + 20)/2
Let b be ((-234)/65)/(3 - (-5402)/(-1810)). Let k = b + 233. Suppose 6/7 + 2/7*q**2 - 10/7*q + k*q**3 = 0. What is q?
-3, 1
Let y be (4*(-34)/(-80) - 2)/((-1)/10). Let o(l) be the third derivative of 4/25*l**5 + 0 + 0*l - 7*l**2 + 0*l**y + 1/100*l**6 + 4/5*l**4. Factor o(u).
6*u*(u + 4)**2/5
Let u = -6025 - -602501/100. Let n(l) be the third derivative of -u*l**5 + 23*l**2 + 0 + 1/2*l**3 + 0*l - 1/10*l**4. Factor n(x).
-3*(x - 1)*(x + 5)/5
Let 24/7*u - 6/7*u**3 - 60/7*u**2 + 0 + 15/7*u**4 = 0. Calculate u.
-2, 0, 2/5, 2
Let w(z) = 472 - 283 + 1004 + 3*z**2 + 28*z - 118*z + 737. Let s(h) = 7*h**2 - 181*h + 3857. Let c(n) = -2*s(n) + 5*w(n). Factor c(a).
(a - 44)**2
Let g(t) be the first derivative of 2*t**3/21 + 146*t**2/7 + 290*t/7 - 578. Factor g(c).
2*(c + 1)*(c + 145)/7
Let k(p) be the second derivative of p**3 - p - 33/10*p**2 + 56 + 1/20*p**4. Solve k(c) = 0.
-11, 1
Suppose 6 = -2*l, 3*d + 2*l + 9 = 24. Suppose -d = 5*i - 67. Factor 8*s**2 + i*s**3 + s + s - 2*s + 4*s**4.
4*s**2*(s + 1)*(s + 2)
Let j(w) = 7*w**3 + w**2 - 2*w + 21. Let z be j(-4). Let k = -805/2 - z. Solve 2/3*v + 0 - k*v**3 - 2/3*v**2 = 0.
-2, 0, 2/3
Let q = -515 + 517. Let g be (-3)/3 + q + 38/(-152). Find p such that 9/2 - g*p + 1/4*p**3 - p**2 = 0.
-2, 3
Factor -1/2*g**2 + 36 - 3*g.
-(g - 6)*(g + 12)/2
Let r(z) be the first derivative of -z**6/36 - 7*z**5/10 - 39*z**4/8 + 77*z**3/18 + 245*z**2/2 + 3171. Determine k, given that r(k) = 0.
-10, -7, 0, 3
Let w = 289172/11 + -26288. Let z = -516 + 5682/11. Let 2/11*t**2 - w*t - z = 0. What is t?
-1, 3
Let g(h) be the third derivative of h**6/400 - 11*h**5/600 + h**4/48 + h**3/20 - 261*h**2 - h. Determine s, given that g(s) = 0.
-1/3, 1, 3
Let 121 - 3*a**2 + 2*a**2 - 46 - 1370*a - 75 = 0. What is a?
-1370, 0
Let w(f) = 5*f**2 - 5 - 4*f**2 + 3*f + 6*f - 2*f. Let z be w(-8). Factor 3*o**3 - 6*o**z - 15*o**2 - o**3 - o**2.
-4*o**2*(o + 4)
Suppose -47*a = 2*a - 26*a. Let x(i) be the third derivative of 0 + a*i - 27*i**2