 is w in l(w) = 0?
0, 4/23
Let t(i) = -99 - 5*i + 106 + 0*i. Let v be t(1). Solve 2*w - 4*w**2 + 15*w**2 - 10*w**v + w = 0.
-3, 0
Find y, given that 39*y**3 + 10107 + 25614 + 13*y**3 - 234*y**2 + y**4 - 4536*y - 28*y**3 = 0.
-21, 9
Let u be 7/(42/(-18)) - 21. Let v(w) = -w**3 - 24*w**2 + 2. Let o be v(u). Factor 3/4*r**3 + 9/4*r - 15/4*r**o + 27/4.
3*(r - 3)**2*(r + 1)/4
Factor -66/7*t + 72/7 + 20/7*t**2 - 2/7*t**3.
-2*(t - 4)*(t - 3)**2/7
Let t = -3882 + 135873/35. Let y(o) be the first derivative of 0*o + 1/7*o**3 + 1/7*o**6 + 0*o**2 - 10 - 3/14*o**4 - t*o**5. Solve y(c) = 0.
-1, 0, 1/2, 1
Let q = -169361/9 + 18825. Factor -2/9*w**3 + 256/3 - 20/9*w**2 + q*w.
-2*(w - 6)*(w + 8)**2/9
Suppose -1/3*u**3 + 19/3*u**2 + 14*u + 0 = 0. What is u?
-2, 0, 21
Let y(n) = -12*n**3 + 14*n**2 + 392*n + 306. Let q(x) = x**3 + 8*x**2 + x. Let c(k) = 10*q(k) + y(k). Factor c(d).
-2*(d - 51)*(d + 1)*(d + 3)
Let r(i) be the first derivative of i**6/4 + 9*i**5/10 + 3*i**4/4 - i**3 - 9*i**2/4 - 3*i/2 - 122. Factor r(c).
3*(c - 1)*(c + 1)**4/2
Factor 2/19*r**3 - 32/19 + 0*r**2 - 24/19*r.
2*(r - 4)*(r + 2)**2/19
Let s = -239 - -244. Suppose -10*r + 17 = 3*j - 12*r, 5*j + s*r + 5 = 0. Factor 2*x - 12*x**2 + 0 + 49/2*x**4 + 21/2*x**j.
x*(x + 1)*(7*x - 2)**2/2
Let a(f) be the third derivative of -5*f**8/504 - 13*f**7/252 + f**6/144 + 13*f**5/72 + 5*f**4/48 - 2*f**2 + 95. Find v, given that a(v) = 0.
-3, -1, -1/4, 0, 1
Let k be (-16 + 8880/546)*(-1 - (-2 + -6)). Determine o, given that -56/13*o**2 - 10/13*o**3 + 0 + k*o = 0.
-6, 0, 2/5
Let -584*y + 1805*y**3 - 220 + 76 + 50*y**4 - 212*y**2 - 915*y**3 = 0. What is y?
-18, -2/5, 1
Let c(s) = -14*s**2 + 20*s - 6. Let i(y) = 16*y**2 - 21*y + 7. Suppose -35*l + 18 = -32*l. Let q(z) = l*i(z) + 7*c(z). Factor q(d).
-2*d*(d - 7)
Let x(l) be the third derivative of 0*l**3 + 4 + l**2 - 1/100*l**5 + 0*l + 3/20*l**4. Suppose x(i) = 0. What is i?
0, 6
Let g(a) = -4763*a - 257198. Let y be g(-54). Find t, given that 32/5 + y*t + 2/5*t**2 = 0.
-8, -2
Let s(o) = o**3 - 21*o**2 - 44*o - 45. Let c be s(23). Suppose -23 = -12*x + c. Factor 0*i + 2/3*i**3 + 0 + 0*i**x.
2*i**3/3
Let k be (8 - (-69156)/30)/(2/20). What is f in k*f - f**4 - 4*f**2 - 23132*f + 5*f**3 = 0?
0, 1, 4
Let y be (-81)/(-216)*(0 - 49/(-9)). Let n(p) be the third derivative of 343/18*p**3 + 0 + 22*p**2 + 1/360*p**6 + 7/60*p**5 + 0*p + y*p**4. Factor n(x).
(x + 7)**3/3
Let q(o) be the first derivative of o**4 - 120*o**3 + 694*o**2 - 1032*o - 2841. Factor q(u).
4*(u - 86)*(u - 3)*(u - 1)
Suppose -4*m + 8 + 0 = 0, -2*d + 40 = -2*m. Suppose -d*f = 9 - 53. Let -2/11*v**f + 8/11*v - 6/11 = 0. Calculate v.
1, 3
Determine y, given that -10*y + 0 + 13/4*y**4 + 1/4*y**5 - y**2 + 15/2*y**3 = 0.
-10, -2, 0, 1
Suppose 2*b + 2 = 2*k, -7*b - 3*k + 24 = -3*b. Find j, given that -j**b + 7*j**4 - 4*j**4 + 3*j**3 + 0*j**3 = 0.
-2/3, 0
Let b be ((-15)/(-6))/(1/2). Suppose 2*z = b*z - 3*w - 27, 4*w + 31 = 3*z. Factor z*t**4 - 10*t**2 + 4*t**3 + 11*t**3 - 40 + 5785*t - 5845*t.
5*(t - 2)*(t + 1)*(t + 2)**2
Let m(u) = -7*u**4 - 100*u**3 - 160*u**2 + 279*u. Let o(y) = 34*y**4 + 500*y**3 + 804*y**2 - 1394*y. Let n(z) = -14*m(z) - 3*o(z). Solve n(c) = 0 for c.
-23, -3, 0, 1
Let i(m) = m**3 - 106*m**2 - 943*m - 2272. Let c(v) = -v**3 + 2*v**2 - v - 14. Let b(q) = -6*c(q) - 3*i(q). Suppose b(y) = 0. What is y?
-92, -5
Factor -97*t + 1/2*t**2 + 9409/2.
(t - 97)**2/2
Let l be (-24)/88*(-33)/18. Suppose 0*d = 2*d - 4. Let 0 + 1/4*x + 1/4*x**3 - l*x**d = 0. Calculate x.
0, 1
Let f be (-1)/(-1 - 0) + (-12)/84. Let q(j) be the first derivative of 22 - f*j**3 - 6/7*j + 9/7*j**2 + 3/14*j**4. Factor q(p).
6*(p - 1)**3/7
Let p be 3 + ((-10 - -10)/(-14))/(-3). Solve 1/2*x**4 + 1/2 + 1/2*x**5 - x**p - x**2 + 1/2*x = 0.
-1, 1
Let y(i) be the second derivative of 15*i**7/4 - 787*i**6/12 - 979*i**5/8 + 125875*i**4/24 + 5385*i**3 + 2025*i**2 + 710*i. What is n in y(n) = 0?
-5, -2/7, -2/9, 9
Let v(o) = -o**2 + 18072*o - 13160166. Let a(n) = 2*n**2 - 27078*n + 19740249. Let y(k) = 5*a(k) + 7*v(k). Let y(q) = 0. What is q?
1481
Let m = -29450/33 - -30416/11. What is f in 2/3*f**2 + m + 212/3*f = 0?
-53
Let y(b) be the first derivative of -5/2*b**2 + 0*b - 1/3*b**3 - 4 - 1/2*b**4 - 3/10*b**5. Let n(v) be the second derivative of y(v). Factor n(p).
-2*(3*p + 1)**2
Let s be ((-6)/7)/(11/(-77)). Let a be (s/(-2))/(6/(-10)). Factor -14 + 19 - a + 3*q**3.
3*q**3
Let u(g) be the second derivative of -40 - 80/21*g**3 - 3*g + 48/7*g**2 + 4/7*g**4 + 1/147*g**7 + 8/35*g**5 - 3/35*g**6. Suppose u(p) = 0. Calculate p.
-2, 1, 2, 6
Let n(z) be the first derivative of 1/114*z**4 - 12 + 1/57*z**3 + 8*z + 0*z**2. Let b(c) be the first derivative of n(c). Factor b(w).
2*w*(w + 1)/19
Let u(w) be the second derivative of -13*w + 49/160*w**5 + 0 + 7/60*w**6 + 0*w**2 + 0*w**3 + 3/16*w**4 + 1/84*w**7. Let u(i) = 0. What is i?
-9/2, -2, -1/2, 0
Find g such that 4*g**5 + 16 + 434*g**4 - 116*g**2 + 6*g + 103*g**3 + 22*g - 259*g**4 - 210*g**4 = 0.
-1/4, 1, 2, 4
Let h(o) be the second derivative of -o**8/1260 - 4*o**7/945 + 7*o**3/2 + o. Let x(k) be the second derivative of h(k). What is m in x(m) = 0?
-8/3, 0
Let s(u) = -2*u**2 + 2*u. Let l(x) = 11*x**3 + 21*x**2 - 20*x - 12. Let h(f) = 3*l(f) + 6*s(f). Factor h(k).
3*(k - 1)*(k + 2)*(11*k + 6)
Let i be (-1)/(2/(-6)) + (-6)/6. Suppose -i*x + 12 = x. What is w in 0*w**2 + 9*w**2 - 34*w**x - 3*w**5 + 9*w + 25*w**4 - 3*w - 3*w**3 = 0?
-2, -1, 0, 1
Let m(c) = c**4 + 2*c**3 - 4*c**2 + 7*c - 6. Let g(t) = t**4 + t**3 - 5*t**2 + 9*t - 6. Let d(o) = 9*g(o) - 6*m(o). Factor d(i).
3*(i - 2)*(i - 1)**2*(i + 3)
Let b(w) be the third derivative of w**7/42 - 5*w**6/12 - 23*w**5/12 - 5*w**4/2 - 1193*w**2. Let b(z) = 0. What is z?
-1, 0, 12
Let m = -1717 - -496. Let h = m - -1223. Factor h*p + 0 + 2/5*p**2.
2*p*(p + 5)/5
Let -264*l - 252*l**4 - 34*l**5 + 102*l**5 - 64*l**5 - 788*l**2 - 780*l**3 = 0. What is l?
-1, 0, 66
Let o(i) = -i + 1. Let r(p) = -10*p - 5*p**2 - 10*p**2 + 0*p**2 + 5. Let j be 50*13/(12 + 14). Let z(c) = j*o(c) + r(c). Factor z(d).
-5*(d + 3)*(3*d - 2)
Let w(x) be the first derivative of x**4/14 + 26*x**3/21 + 46*x**2/7 + 96*x/7 + 1528. Factor w(l).
2*(l + 2)*(l + 3)*(l + 8)/7
Let x(b) be the third derivative of -49*b**2 + 1/140*b**7 + 1/448*b**8 + 0*b**3 + 0*b + 0*b**5 + 0 + 0*b**6 + 0*b**4. Find c, given that x(c) = 0.
-2, 0
Let x(f) be the third derivative of 70 + 1/210*f**7 - 1/20*f**5 + 2/3*f**3 - 2*f**2 + 1/6*f**4 - 1/60*f**6 + 0*f. Determine p so that x(p) = 0.
-1, 2
Let d(b) = 32*b**3 + 24*b**2 + 80*b - 64. Let p(r) = -r**3 - 2*r**2. Let i(h) = d(h) + 28*p(h). Factor i(y).
4*(y - 4)*(y - 2)**2
Let g = -1060944 - -1060947. Factor 2/3*h**g - 15*h**2 - 7 + 64/3*h.
(h - 21)*(h - 1)*(2*h - 1)/3
Solve 4*n**3 - 158083094*n**5 - 2*n - 2024*n**2 + 1012 + 158083092*n**5 - 38*n**4 + 1050*n**4 = 0.
-1, 1, 506
Let h(d) be the second derivative of 3675/4*d**2 - 35/2*d**3 + d - 88 + 1/8*d**4. Factor h(j).
3*(j - 35)**2/2
Suppose 0*f = 2*f - 6, 3*q + 3*f - 15 = 0. Factor -135*d**2 - 15*d - 125*d**2 + 265*d**q.
5*d*(d - 3)
Let n(y) = -4*y**2 - 1435*y. Let f(z) = -z**2 - 358*z. Let a(q) = 57*f(q) - 15*n(q). Factor a(l).
3*l*(l + 373)
Let h(b) be the first derivative of -b**4/30 - 406*b**3/15 - 41209*b**2/5 - 16730854*b/15 - 426. Factor h(f).
-2*(f + 203)**3/15
Suppose -27/8*x**4 + 0 + 0*x + 3/8*x**5 - 9/2*x**2 + 15/2*x**3 = 0. What is x?
0, 1, 2, 6
Let a(j) be the third derivative of -j**7/70 - 13*j**6/40 - 33*j**5/20 - 31*j**4/8 - 5*j**3 + 7*j**2 - 3*j + 2. Determine n so that a(n) = 0.
-10, -1
Find i such that 3/5*i**3 + 27/5*i**2 - 420 - 72*i = 0.
-14, -5, 10
Let t(m) be the first derivative of -3*m**5/5 + 123*m**4/4 + 129*m**3 + 393*m**2/2 + 132*m + 4287. Determine h so that t(h) = 0.
-1, 44
Let f(k) be the third derivative of k**8/504 - 10*k**7/63 + 97*k**6/180 - 8*k**5/15 + 530*k**2 - 2. Factor f(j).
2*j**2*(j - 48)*(j - 1)**2/3
Let w(z) be the second derivative of z**7/56 - 3*z**6/40 - 21*z**5/80 + 27*z**4/16 - 9*z**3/4 + 4*z + 192. Determine o so that w(o) = 0.
-3, 0, 1, 2, 3
Solve -222*f**3 - 361*f + 218*f**3 + 60*f**2 + 96 + 209*f = 0.
1, 2, 12
Let w(v) be the third derivative of -v**6/420 + 254*v**5/105 - 1013*v**4/84 + 506*v**3/21 - 2005*v**2. Factor w(p).
-2*(p - 506)*(p - 1)**2/7