 in -590/3*c**2 + 1186/3*c - 2/3*c**3 - 198 = 0?
-297, 1
Let o be (10*-2)/(19 - (-350)/(-14)) + 10. Find r such that 2/3*r**2 + 8*r + o = 0.
-10, -2
Suppose -75 = -20*d - z, d = 4*z - 153 + 177. What is x in 36 - 2/3*x**5 - 24*x**2 + 18*x - 4/3*x**3 + d*x**4 = 0?
-2, -1, 3
Let p(v) be the first derivative of 1/20*v**4 + 16/5*v - 3/5*v**3 + 3/5*v**2 - 13. What is y in p(y) = 0?
-1, 2, 8
Let i(z) = 11*z**2 - 231*z. Let p(h) = h**3 - 11*h**2 + 6*h - 45. Let q be p(11). Let r be i(q). Factor -4/3*y + 2/9*y**2 + r.
2*y*(y - 6)/9
Suppose -154*g = -173*g - 19. Let l be (g/4)/((265/(-150))/53). Factor -l*o**2 + 0 + 25/4*o + 5/4*o**3.
5*o*(o - 5)*(o - 1)/4
Let v(i) = -4*i**2 - 62*i + 258. Let s(a) = 9*a**2 + 127*a - 517. Let r(d) = 4*s(d) + 10*v(d). Determine k, given that r(k) = 0.
-32, 4
Let s(n) be the third derivative of n**5/12 - 75*n**4/8 + 1147*n**2. Factor s(f).
5*f*(f - 45)
Let l = 2068121/4054342 + -4/20071. Let a = l - 1/101. Find o such that -o**2 + a + 4*o**3 - 7/2*o**4 + o**5 - o = 0.
-1/2, 1
Let w(q) = 5*q**3 + q - 1. Let u(z) = 72*z**3 - 105*z**2 - 81*z + 189. Let t(a) = -u(a) + 15*w(a). Factor t(i).
3*(i - 1)*(i + 2)*(i + 34)
Let f = -657 + 659. Let h(w) = 4*w**2 - 43*w + 24. Let o(s) = -s**2 + 3*s + 1. Let u(r) = f*h(r) + 10*o(r). Find i such that u(i) = 0.
-29, 1
Let j(v) = -v**4 + v**3 - 4*v**2 - 1. Let l(n) = 9*n**4 - 6*n**3 - 219*n**2 + 543*n - 312. Let m(h) = -3*j(h) - l(h). What is y in m(y) = 0?
-7, 1, 3/2, 5
Let q(u) be the first derivative of 5*u**6/6 - 194*u**5 + 480*u**4 + 10*u**3/3 - 1925*u**2/2 + 960*u - 7155. Let q(l) = 0. What is l?
-1, 1, 192
Let i(k) = -k**2 - 16*k + 52. Let l(u) = 3*u**2 + 46*u - 155. Let r(f) = 11*i(f) + 4*l(f). Let r(h) = 0. Calculate h.
-12, 4
Let j be -2 + 6 - -19*(-24)/(-6). Suppose 0 = -12*f - 8*f + j. Determine i, given that 0*i - 4/7*i**2 + 2*i**3 + 0 - 8/7*i**5 + 10/7*i**f = 0.
-1, 0, 1/4, 2
Let w(n) = 31209*n - 218460. Let p be w(7). Let c = 1257/7 + -179. Let 0*m - c*m**p + 0 - 8/7*m**2 = 0. Calculate m.
-2, 0
Let k = -135/538 - -202/269. Let f = 41/2 - 19. Factor 0 + 1/2*v**2 - f*v**3 + k*v**5 - 1/2*v**4 + v.
v*(v - 2)*(v - 1)*(v + 1)**2/2
Let z be -5*48/(-100) + 16/(-40). Suppose -p - z*p = -3, 12 = 3*b + 3*p. Find g, given that 4/3*g**b + 0*g + 0 + 4/3*g**2 = 0.
-1, 0
Suppose -23*w + 278 = -1585. Suppose -w = 18*x - 45*x. Factor -1/4*m**2 + 3/4*m - 3/4*m**x + 0 + 1/4*m**4.
m*(m - 3)*(m - 1)*(m + 1)/4
Suppose -36*p = -85*p. Let i(t) be the second derivative of 0 + 1/60*t**6 - 1/160*t**5 + p*t**2 + 0*t**3 + 1/112*t**7 - 1/48*t**4 + 14*t. What is g in i(g) = 0?
-1, 0, 2/3
Let f = -409214 + 7775116/19. What is o in -f*o - 12/19 + 20/19*o**3 - 42/19*o**2 = 0?
-1/2, -2/5, 3
Let n(p) be the third derivative of -50/3*p**3 + 0 - 73*p**2 - 1/12*p**5 + 5/2*p**4 + 0*p. Suppose n(t) = 0. What is t?
2, 10
Let b = -147 - -152. Find j, given that -j**5 - 48*j - 6*j**5 + 7*j**5 + 24*j**3 - 3*j**b = 0.
-2, 0, 2
Determine l, given that -1/5*l**2 + 0 - 173/5*l = 0.
-173, 0
Determine u, given that 538*u + 309*u - 40*u**4 - 80*u**2 - 387 - 220*u**3 + 52*u + 91*u - 261 - 2*u**5 = 0.
-9, -4, 1
Let u(t) = 2*t**3 + 16*t**2 + 3*t - 122. Let c be u(-6). Let k(g) be the third derivative of 49/2*g**3 - 7/4*g**c + 0 + 1/20*g**5 + 0*g - 22*g**2. Factor k(y).
3*(y - 7)**2
Let d(x) = 12*x - 258. Let b be d(22). Let j be 16/(-50)*b/(84/(-4235)). Factor -88/5*u - j*u**2 - 2662/15*u**3 - 16/15.
-2*(11*u + 2)**3/15
Suppose -139/8*a + 141/8*a**2 - 1/4 = 0. What is a?
-2/141, 1
Suppose 163*f = 8063 - 4151. Suppose -1/2*i**3 - f*i + 18 + 13/2*i**2 = 0. Calculate i.
1, 6
Determine h, given that -4*h**4 - 5*h**4 + 60*h**2 - h**4 + 12*h**4 + 176*h - 4*h**4 - 18*h**3 = 0.
-11, -2, 0, 4
Suppose 0 = j + 3*x - 540, -3*x - 15 = -0*x. Let z = -3882/7 + j. Determine q, given that 3/7*q**2 + 0 - z*q = 0.
0, 1
Let k be (44/924 + (-2)/42)/(-3 + 4). Determine b so that k - 434/11*b**3 - 98/11*b**4 + 272/11*b**2 - 40/11*b = 0.
-5, 0, 2/7
Let a(p) = -p**2 - 458*p - 26838. Let h be a(-69). Solve 6/13*f**2 + 8/13*f - 2/13*f**h + 0 = 0.
-1, 0, 4
Factor -4/13*o**2 + 0 - 30/13*o + 2/13*o**3.
2*o*(o - 5)*(o + 3)/13
Let r(f) be the first derivative of 0*f**2 - 1/30*f**4 + 1/75*f**6 + 7/50*f**5 + 6*f - 7/15*f**3 - 12. Let z(s) be the first derivative of r(s). Factor z(x).
2*x*(x - 1)*(x + 1)*(x + 7)/5
Let t be (24/(-4) - -4) + (-13273)/(-520). Let l = t + -185/8. Factor l*x + 2/5*x**2 - 4/5.
2*(x - 1)*(x + 2)/5
Let j(x) be the second derivative of -x**7/70 - x**6/10 + 2*x**4 + 8*x**3 + 47*x**2/2 - 156*x. Let l(n) be the first derivative of j(n). Factor l(m).
-3*(m - 2)*(m + 2)**3
Let -2*r + 0*r**2 + 8/3 + 1/6*r**3 = 0. Calculate r.
-4, 2
Let x(j) be the second derivative of 1/30*j**5 - 8/9*j**3 - 1/18*j**4 - 20 + 4*j**2 - j. Let x(v) = 0. What is v?
-3, 2
Let o(l) = 4*l**2 + 10*l + 6. Let z be o(-2). Factor 16*t**5 - 6*t**3 - 14*t**5 - 17*t**z + 13*t**2.
2*t**2*(t - 2)*(t + 1)**2
Suppose -63*d - 2362 = -2677. Let v be 4 + (-42)/18 - (-2)/(-6). Factor 0 - 10/3*c**4 + 8/3*c**3 + v*c**d - 2/3*c**2 + 0*c.
2*c**2*(c - 1)**2*(2*c - 1)/3
Let a(k) be the first derivative of 79 + 14/9*k**3 - 56/9*k**2 - 1/18*k**4 + 8*k. Factor a(u).
-2*(u - 18)*(u - 2)*(u - 1)/9
Suppose -3 = -r - 2*r - 3*d, 5*d = 2*r - 9. Factor l**r + 283 + l**2 - 291.
2*(l - 2)*(l + 2)
Find m such that -2/7*m**2 + 550/7 - 4*m = 0.
-25, 11
Suppose -5 = 3*y + 2*b, 14*y = 17*y - 3*b - 30. Let r(c) be the first derivative of 2*c + 225/2*c**y - 33 - 3375/16*c**4 - 45/2*c**2. Factor r(m).
-(15*m - 2)**3/4
Let l be 15/4 - (-24)/(-32). Suppose 25*p + 90 = 34*p. Let -k**l - p*k + 4*k**3 - 3 - 15*k + 22*k + 3*k**2 = 0. What is k?
-1, 1
Suppose 20 = -9*v + 20*v - 2. Let l(o) be the third derivative of -7/10*o**6 - 2/3*o**4 - 11*o**v + 0 - 6/35*o**7 + 0*o**3 + 0*o - 16/15*o**5. Factor l(f).
-4*f*(f + 1)*(3*f + 2)**2
Solve -71/2*n + 16*n**2 - 51 + 1/2*n**3 = 0 for n.
-34, -1, 3
Let q(f) = -2*f**2 + 115*f + 286. Let w be q(58). Let d be (-66)/627 + 195/w. Factor -1 - d*o - 1/8*o**2.
-(o + 2)*(o + 4)/8
Let c = -181 + 195. Let r be (-8)/(-28)*c/16. Factor -1/4*y + 1/2 - r*y**2.
-(y - 1)*(y + 2)/4
Suppose -28*l = 10*l - 17*l - 84. Let j(q) be the third derivative of 13*q**2 - 3/8*q**l + 0*q + 0*q**3 + 1/20*q**5 + 0. Let j(a) = 0. What is a?
0, 3
Suppose -4*z = 3*l + l, z - 12 = 5*l. Factor -51*u + 4115*u**z - 64*u - 30 - 4095*u**2.
5*(u - 6)*(4*u + 1)
Let x = 3299/48 - 665/16. Let j = x + -80/3. Let 0*a + 1/2*a**3 + 0 - j*a**4 + 0*a**2 = 0. Calculate a.
0, 1
Let c = -677 - -684. Let s be 363/483 - 1/c. Let 16/23*v - s*v**5 + 0 - 66/23*v**4 - 4*v**3 - 24/23*v**2 = 0. Calculate v.
-2, -1, 0, 2/7
Suppose 3*r + 0 - 6 = 0. Let h = -3949 - -3960. Suppose -h + 13 + 4*m**r + 14 - 16*m = 0. Calculate m.
2
Let m(v) be the first derivative of -13*v**4/3 + 24*v**3 - 142*v**2/3 + 40*v - 970. Solve m(p) = 0.
1, 15/13, 2
Let l(h) = -8*h**3 - 3*h**2 - 10. Let p = 387 + -396. Let c(b) = -15*b**3 - 6*b**2 - 18. Let v(k) = p*l(k) + 5*c(k). Suppose v(t) = 0. What is t?
-1, 0
Let n(h) = h**2 + 24*h - 4. Let g(f) = -f**2 + 10. Let p(c) = 6*g(c) + 2*n(c). Determine s, given that p(s) = 0.
-1, 13
Let x = -131064 + 131068. What is t in 190/7*t + 114/7*t**2 + 26/7*t**3 + 100/7 + 2/7*t**x = 0?
-5, -2, -1
Let b(a) be the second derivative of -5*a**7/42 + 2*a**6/5 + 4*a**5/5 - 3*a**4/2 - 11*a**3/6 + 3*a**2 - 269*a. Solve b(i) = 0 for i.
-1, 2/5, 1, 3
Let s be (2/9)/(2/18). Factor -21*p**3 + s*p**3 - 39*p**2 + 16*p**3.
-3*p**2*(p + 13)
Let s(y) be the third derivative of -y**6/80 + 21*y**5/20 + 189*y**4/16 - 115*y**3/2 + 3*y**2 - 152*y - 1. Find z, given that s(z) = 0.
-5, 1, 46
Let d(b) be the third derivative of 7/120*b**6 + 0 - 17/60*b**5 + 17/24*b**4 - b**3 + 9*b - 1/210*b**7 + b**2. Factor d(r).
-(r - 3)*(r - 2)*(r - 1)**2
Let l(g) = -8*g + 5. Let w be l(-11). Let k = w + -49. Factor 17*d**5 + 4*d**4 - 13*d**5 - 6*d**3 + d**3 - 12 - 19*d**3 - 56*d**2 - k*d.
4*(d - 3)*(d + 1)**4
Let d(q) be the third derivative of -q**6/300 - 8*q**5/75 - q**4/3 - 19*q**3/2 + 28*q**2. Let w(s) be the first derivative of d(s). Let w(t) = 0. Calculate t.
-10, -2/3
Let k(x) be the first derivative of -x**3/6 + 371*x**2/2 - 137641*x/2 - 264. Factor k(i).
-(i - 371)**2/2
Let i(b) = b**3 + 187*b**2 - 3*b. Let h(f) = -8*f**3 - 1308*f**2 + 20*f. Let s(a