5*l**2 - 2/5*l + 0 + 0*l**3 - n*l**4 = 0. What is l?
-2, 0, 1
Let h(j) be the first derivative of -9 + 5*j**2 + 5/3*j**3 - 15*j. Factor h(v).
5*(v - 1)*(v + 3)
Let q(u) be the second derivative of -u**4/102 - 438*u**3/17 - 431649*u**2/17 - 1330*u. Suppose q(b) = 0. What is b?
-657
Suppose 13*l + 490 = 18*l. Let m = l - 98. Factor 2/7*h**3 + 0 + m*h**2 - 2/7*h.
2*h*(h - 1)*(h + 1)/7
Let j be (-4)/4*(1 + 8 - 4). Let m(x) = 6*x**2 + 28*x - 8. Let n be m(j). Solve -1/5*z**n + 0 + z = 0 for z.
0, 5
Let w(u) be the second derivative of 0 - 3/4*u**5 - 3*u**2 - 28*u - 7/2*u**3 - 1/10*u**6 - 9/4*u**4. Let w(t) = 0. What is t?
-2, -1
Let v be (64/(-208)*26/20)/((-32)/10). Solve -j**2 + v*j**3 + 0 + 2*j = 0.
0, 4
Let z(q) be the first derivative of 2*q**3/39 + 24*q**2/13 + 288*q/13 - 2182. Determine j, given that z(j) = 0.
-12
Suppose 173*d - 1477 - 302 = -222. Suppose 3*q + 27/4*q**3 + 0 + d*q**2 = 0. Calculate q.
-2/3, 0
Let b(x) be the first derivative of 2*x**5/75 - x**4/2 - 2*x**3/15 + 43*x**2/15 + 4*x + 302. Suppose b(z) = 0. What is z?
-1, 2, 15
Solve -3*h**5 - 39763*h + 0 - 75*h**4 + 0 + 38227*h - 2112*h**2 - 648*h**3 = 0.
-8, -1, 0
Let a(d) be the third derivative of d**6/420 - 2*d**5/35 - 19*d**4/84 + 26*d**3/7 - 7*d**2 - 50*d. Let a(n) = 0. Calculate n.
-3, 2, 13
Let d(t) = -33*t**2 + 8*t**2 - 79*t - 2*t + 590 - 573. Let w(a) = 3*a**2 + 10*a - 2. Let r(g) = 6*d(g) + 51*w(g). Determine c, given that r(c) = 0.
-8, 0
Let x(i) be the first derivative of -8 + 5/2*i**2 + 1/12*i**5 - 10/3*i**3 + 0*i - 5/8*i**4. Let z(m) be the second derivative of x(m). Factor z(v).
5*(v - 4)*(v + 1)
Factor 2/9*i**4 + 0*i - 20/9*i**2 + 0 + 2/3*i**3.
2*i**2*(i - 2)*(i + 5)/9
Let l be (100/(-12))/(55/22) + 4. Factor l*g + 0 + 4/3*g**4 - 3*g**2 + g**3.
g*(g - 1)*(g + 2)*(4*g - 1)/3
Let k be (4*(-6)/20)/(1343 + -1346). Let c be 2/3*6/10. Suppose c*q**4 + 0*q**3 + k + 0*q - 4/5*q**2 = 0. Calculate q.
-1, 1
Let c(j) = j**4 - 13*j**3 + 81*j**2 + 401*j + 490. Let k(p) = 3*p**4 - 27*p**3 + 162*p**2 + 801*p + 981. Let b(w) = 9*c(w) - 4*k(w). Let b(x) = 0. What is x?
-3, 6
Let i be ((-198)/(-88))/(-3)*8/(-75). Let q(z) be the second derivative of 15*z - 7/15*z**4 + 14/15*z**3 + 0 + i*z**5 - 4/5*z**2. Find j such that q(j) = 0.
1/2, 1, 2
Let x = 51182/7 - 452560/63. Let f = x + -128. Determine o, given that 0 + 0*o - f*o**3 - 2/9*o**2 = 0.
-1, 0
Suppose -y - 2*y = -756. Suppose -3*u + 39 = -2*u + 3*r, 4*r = 5*u - y. Find p such that 57*p + 22 + 5 - p + 16*p + u*p**2 = 0.
-3/4
Let i = 13 - 41. Let o = -26 - i. Factor 2*b**o - 20*b - 7 + 3 + 4.
2*b*(b - 10)
Let d(n) be the third derivative of 7*n**5/12 - 1445*n**4/24 + 205*n**3/3 + 2*n**2 - 246. Factor d(y).
5*(y - 41)*(7*y - 2)
Let s be 1715/(-20 + 69) + -32. Factor 3/2*y + 0 + 3*y**2 + 3/2*y**s.
3*y*(y + 1)**2/2
Let i(n) = -10*n**3 + 3*n**2 + 6*n + 4. Let b be i(-2). Let 96 - 22*c**2 - 36 + 13*c**2 - b*c = 0. What is c?
-10, 2/3
Let u(s) be the first derivative of -s**4 + 8*s**3/3 + 42*s**2 + 72*s - 642. Find d such that u(d) = 0.
-3, -1, 6
Let 525/4*t + 625/2 - 12*t**2 + 1/4*t**3 = 0. Calculate t.
-2, 25
Let o(a) be the first derivative of a**4/16 - 10*a**3/3 + 77*a**2/8 - 19*a/2 + 49. Let o(c) = 0. What is c?
1, 38
Factor 114*l - 147*l**4 - l**5 - 173*l**2 + 112*l**4 - 3*l**3 + 92*l**4 + 6*l**3.
-l*(l - 57)*(l - 1)**2*(l + 2)
Let a(c) be the first derivative of -c**6/2160 + c**5/72 + 31*c**3 + 98. Let r(j) be the third derivative of a(j). Factor r(q).
-q*(q - 10)/6
Let s(c) = 5*c**3 + 5*c**2 - 9*c - 1. Let t be s(3). What is w in -t*w**2 + 73*w**2 - 24*w + 2*w**3 + 101*w**2 = 0?
-12, 0, 1
Let i(t) be the third derivative of t**6/420 - 10*t**5/21 + 164*t**4/7 - 3648*t**3/7 + 209*t**2 - 11. Factor i(f).
2*(f - 76)*(f - 12)**2/7
Suppose 3*g = 5*t - 2*t + 303, -t = 2*g + 95. Let r = t - -102. Find m such that 4*m**3 + 45*m + 8*m**r + 30*m**2 - 7*m**3 = 0.
-3, 0
Factor -12326*j - 2*j**4 - 4272*j**2 - 343460*j**3 + 3814*j + 342740*j**3 - 5664.
-2*(j + 2)**3*(j + 354)
Let w(z) be the second derivative of -z**8/420 - z**7/210 + z**6/90 + z**5/30 + 16*z**3 + 11*z + 4. Let f(l) be the second derivative of w(l). Factor f(j).
-4*j*(j - 1)*(j + 1)**2
Let i(w) = 35*w**2 + 255*w - 15. Let x(g) = 8*g**2 + 62*g - 6. Let q(z) = -z**2 - 2*z - 2. Let y(o) = -q(o) + x(o). Let v(m) = -4*i(m) + 15*y(m). Factor v(j).
-5*j*(j + 12)
Let q be 10/(-12) + 558/540. Suppose 28*h = 26*h + 9*m - 50, 5*m - 30 = 0. Determine r, given that q - 1/5*r + 1/5*r**4 - 2/5*r**h + 2/5*r**3 - 1/5*r**5 = 0.
-1, 1
Let w(i) be the second derivative of 1/3*i**4 + 0*i**2 - 138*i + 0 - 1/20*i**6 + 0*i**3 + 1/84*i**7 - 3/20*i**5. Factor w(n).
n**2*(n - 4)*(n - 1)*(n + 2)/2
Let c(w) be the third derivative of -w**6/960 - 3*w**5/80 - 11*w**4/64 - 187*w**3/6 + 129*w**2. Let m(j) be the first derivative of c(j). What is x in m(x) = 0?
-11, -1
Factor -975*g**3 + 135/2*g**4 + 0*g - 5/4*g**5 + 1690*g**2 + 0.
-5*g**2*(g - 26)**2*(g - 2)/4
Find l, given that 228*l + 480 - 816*l**2 - 813*l**2 + 20*l + 1633*l**2 = 0.
-60, -2
Let r(b) be the second derivative of b**6/165 - 19*b**5/110 + 8*b**4/11 + 201*b + 6. Solve r(c) = 0.
0, 3, 16
Let o(z) = 7*z**2 - 27*z - 19. Let y be o(5). Let l(v) be the third derivative of 1/40*v**5 + 3/4*v**3 + 0*v + 0 - 1/4*v**4 + y*v**2. What is n in l(n) = 0?
1, 3
Let j(g) = g**2 - g + 2. Let n be j(0). Let t be (2/((-24)/20))/(2/(-6)). Factor i - 3 + i**5 + 6*i**n + i + 2*i**t + i - 6*i**3 - 3*i**4.
3*(i - 1)**3*(i + 1)**2
Let j(z) = 28*z**4 + 216*z**3 + 610*z**2 + 650*z + 140. Let v(y) = -4*y**4 - 31*y**3 - 87*y**2 - 92*y - 20. Let o(p) = 6*j(p) + 44*v(p). Solve o(m) = 0 for m.
-5, -2, -1, -1/2
Let m be (-5)/40 - (-114)/16. Let b be m - 7 - (-1 + 1). Let 4/5*q**3 + b*q - 8/5*q**2 + 4/5*q**4 + 0 = 0. What is q?
-2, 0, 1
Find w such that -291 + 1/2*w**2 - 581/2*w = 0.
-1, 582
Let z = 113785/12 + -9480. Let f(i) be the second derivative of z*i**4 + 1/4*i**5 + 10*i**2 + 0 + 20/3*i**3 + 13*i. Solve f(j) = 0.
-2, -1
Let x be -32*(42 + 22865/(-544)) + 90/14. Factor -x + 2/7*p**3 + 4*p**2 + 22/7*p.
2*(p - 1)*(p + 2)*(p + 13)/7
Let m be 1/6 - (0 - 22/12). Solve 414 + 8*v**3 - 3*v**3 - 5*v - 409 - 5*v**m = 0.
-1, 1
Let o(s) = -s**5 + s**3 - 4*s**2 - s - 1. Let y(a) = 8*a**5 + 8*a**4 - 10*a**3 + 12*a**2 + 44*a - 2. Let h(k) = 20*o(k) + 2*y(k). Suppose h(t) = 0. What is t?
-2, 1, 3
Let c(y) be the first derivative of 4*y**3/3 - 1100*y**2 + 2196*y - 1446. Factor c(g).
4*(g - 549)*(g - 1)
Let n(g) = -5*g**3 - 113*g**2 - 46*g + 50. Let j(y) = -6*y**3 - 130*y**2 - 46*y + 49. Let f(s) = -6*j(s) + 7*n(s). Let f(t) = 0. Calculate t.
-4, 1, 14
Let f(m) be the first derivative of -4*m**5/5 - 9*m**4 + 68*m**3/3 + 378*m**2 - 784*m - 1223. Solve f(s) = 0.
-7, 1, 4
Let v be 10 + -3 - 7/(28/16). Factor -49 + 15*k**v + 9*k**2 - k**4 + 37 + 4*k**4 - 15*k.
3*(k - 1)*(k + 1)**2*(k + 4)
Let n(h) = h**2 + 2*h - 5. Let f be n(-5). Let r be 3 + ((-10)/2 - -4). Let 11*i**4 - f*i**4 - i**r - 9*i + 3*i**3 + 6*i = 0. What is i?
-3, -1, 0, 1
Determine t so that 2*t + 53635*t**2 - 17877*t**2 - 17879*t**2 - 17880*t**2 + 288 = 0.
-16, 18
Let o be (-24)/10*(-390)/104. Let o*z**2 - 72*z - 10 + 3*z**3 + 44 + 50 = 0. What is z?
-7, 2
Let f = -9/14315 + 386577/114520. Factor 1/8*v**2 + f - 7/2*v.
(v - 27)*(v - 1)/8
Let k(s) be the first derivative of 20*s**2 + s**5 + 69 - 50/3*s**3 + 5/4*s**4 + 0*s. Factor k(f).
5*f*(f - 2)*(f - 1)*(f + 4)
Let d be 9*(-2)/(-136) + (-412)/(-3502). Suppose 2 = 4*q + 3*i - 5*i, 6 = -3*q + 4*i. Factor 0 - 5/4*m + d*m**q.
m*(m - 5)/4
Suppose 254*y = 239*y + 45. Let u(k) = k**3 + 13*k**2 - 5*k - 63. Let r be u(-13). Factor 20/3*z**r - 8*z + 0 - 4/3*z**y.
-4*z*(z - 3)*(z - 2)/3
Let v(b) be the third derivative of -b**5/330 - 144*b**4/11 + 1729*b**3/33 - 9075*b**2. Factor v(g).
-2*(g - 1)*(g + 1729)/11
Solve 269/4 - 1/4*h**2 + 67*h = 0.
-1, 269
Let d(o) = -2*o**2 - 8*o + 4. Let m be d(-5). Let j(s) = -3*s**2 - 24*s + 51. Let p(y) = y**2 - 1. Let u(l) = m*p(l) - j(l). Factor u(w).
-3*(w - 5)*(w - 3)
Let d(b) be the second derivative of 13*b**4/6 + 3*b**3/2 - 4*b + 629. Find g, given that d(g) = 0.
-9/26, 0
Let l(u) be the first derivative of -u**3/6 + 13*u**2/4 - 3293. Determine x so that l(x) = 0.
0, 13
Let t(m) be the first derivative of 8*m**3/9 + 157*m**2/2 - 59*m/3 - 162