r = 0. What is r?
-1, 1
Factor -85 - 3/4*d + 1/4*d**2.
(d - 20)*(d + 17)/4
Let g(j) be the first derivative of -j**8/784 - 6*j**7/245 - 3*j**2 - 2*j - 132. Let u(p) be the second derivative of g(p). Factor u(h).
-3*h**4*(h + 12)/7
Suppose -5*k - 120 = -130. Factor 42*r**3 - 26*r**3 - 23*r**3 + r**4 + 6*r**k.
r**2*(r - 6)*(r - 1)
Let u(z) be the second derivative of -z**5/90 + 11*z**4/27 + 47*z**3/27 + 8*z**2/3 - 357*z. Factor u(g).
-2*(g - 24)*(g + 1)**2/9
Let d(r) be the first derivative of -7 + 4899*r**3 + 4*r - 209*r**2 - 357075/8*r**4 + 328509/10*r**5. Suppose d(x) = 0. Calculate x.
2/69, 1
Let a(m) be the third derivative of m**5/150 + 7*m**4/5 - 17*m**3/3 - 865*m**2. Factor a(z).
2*(z - 1)*(z + 85)/5
Let q(p) be the third derivative of 19/108*p**4 - 13/135*p**5 + 61*p**2 + 7/270*p**6 - 1/1512*p**8 + 0 - 1/945*p**7 + 0*p - 5/27*p**3. Factor q(d).
-2*(d - 1)**4*(d + 5)/9
Let z = 168481/9 - 18720. Factor -1/9*m**2 - z*m**3 + 1/9*m + 1/9.
-(m - 1)*(m + 1)**2/9
Factor -28*a**3 - 29*a**3 - 26*a**3 + 82*a**3 + 189 - 189*a**2 + a.
-(a - 1)*(a + 1)*(a + 189)
Let z(y) be the first derivative of y**7/1960 + y**6/140 + 74*y**3/3 - y**2 + 62. Let o(r) be the third derivative of z(r). Let o(w) = 0. What is w?
-6, 0
Let d be (-542)/26016*(-48)/3. Factor 17/12*x**2 + 4/3*x + d*x**3 + 1/4.
(x + 1)*(x + 3)*(4*x + 1)/12
Let d = 76511/3 - 152971/6. Factor -289/4 - 1/4*v**2 + d*v.
-(v - 17)**2/4
What is w in 1/4*w**2 + 9/2*w + 8 = 0?
-16, -2
Let u = 1103 - 49634/45. Let d(m) be the third derivative of -u*m**5 + 0 - 15*m**2 + 0*m + 0*m**3 - 1/180*m**6 + 0*m**4 + 1/315*m**7. Factor d(f).
2*f**2*(f - 2)*(f + 1)/3
Suppose 5*i + 76 = 9*i. Let l be (i - 1) + (0 - 0). Factor 45 - 5*q**2 - 10*q - 12 - l.
-5*(q - 1)*(q + 3)
Let g(a) = 11*a**3 - 16*a**2 + 99*a + 162. Let w(n) = 5*n**3 - 9*n**2 + 50*n + 80. Let t(k) = 4*g(k) - 9*w(k). Factor t(j).
-(j - 12)*(j - 6)*(j + 1)
Let n be -1 + 16/(-18) + 2. Let u = -1418393/3 + 472798. Suppose 1/9*b**5 + u*b**4 + 0 + 0*b + 1/3*b**3 + n*b**2 = 0. What is b?
-1, 0
Let c(n) = -15*n**2 + 15625*n - 6099615. Let l(y) = 8*y**2 - 7813*y + 3049808. Let x(i) = 3*c(i) + 5*l(i). Factor x(r).
-5*(r - 781)**2
Let j(m) = m**2 - 118*m - 47. Let d be j(119). Let q(p) be the first derivative of p**4 - 6*p**2 - 19 - 16/3*p**3 + d*p. Factor q(n).
4*(n - 3)**2*(n + 2)
Let x = 773/1004 - 5/251. Let h(v) be the first derivative of 11 + 6*v**3 + 24*v + 18*v**2 + x*v**4. Factor h(k).
3*(k + 2)**3
Solve 0 - 38/13*p**2 + 84/13*p - 2/13*p**3 = 0 for p.
-21, 0, 2
Let x = -420 - -423. Suppose -20*h**2 + 42*h - 200*h**x + 38*h + 39*h**4 + 22*h**5 + 122*h**5 - 16 + 21*h**4 = 0. What is h?
-1, 1/4, 2/3
Factor 1/6*i**2 - 4 - 1/3*i.
(i - 6)*(i + 4)/6
Suppose -14 = -2*j - 6. Suppose -j*r + 7*r - 48 = -2*p, -p = -2*r + 25. Factor -v**2 - v**4 - 25*v**3 - r*v**2 + 5*v + 11 - 6 - 9*v**4.
-5*(v + 1)**3*(2*v - 1)
Let q(x) be the second derivative of 2*x**7/7 - 616*x**6/15 - 417*x**5/5 + 34*x**4 + 416*x**3/3 + 1777*x. Solve q(a) = 0 for a.
-1, 0, 2/3, 104
Let k(m) = 2*m**3 - 7*m**2 - 10*m - 10. Let b be k(5). Let t be 5 + -2 - (4 + b/(-3)). Suppose -t*g**2 + 12/7*g**4 + 0 + 8/7*g + 8/7*g**3 = 0. Calculate g.
-2, 0, 1/3, 1
Let 16 + 28/3*b - 46/3*b**2 - 2/3*b**4 - 28/3*b**3 = 0. Calculate b.
-12, -2, -1, 1
Let l be (1 - 1)/(-13 - -15). Suppose 4*f - 1 - 19 = l. Factor f*n**2 - 3*n + 4*n**2 - 6*n**2 - 25 + 19.
3*(n - 2)*(n + 1)
Let x be ((-8)/1540)/((-61 - -73)*4/(-14)). Let o(z) be the third derivative of 2/11*z**3 - 41*z**2 + 0 + x*z**6 + 0*z**5 + 0*z - 7/132*z**4. Factor o(m).
2*(m - 2)*(m - 1)*(m + 3)/11
Let d be ((-51)/((-95472)/384))/((-20)/(-255)). Determine g, given that 6/13*g**4 + d*g**2 - 2/13*g**5 + 0 + 30/13*g**3 + 12/13*g = 0.
-1, 0, 6
Let o(z) = z - 5. Let p be o(5). Let c = -9137047 + 9137051. Factor -1/5*h**c + 0 + 0*h - 1/5*h**5 + p*h**3 + 0*h**2.
-h**4*(h + 1)/5
Let d(p) be the third derivative of -p**7/70 + 11*p**6/8 + 549*p**5/20 + 1701*p**4/8 + 864*p**3 + 4782*p**2. Determine w, given that d(w) = 0.
-3, 64
Find z, given that -11/2*z**4 - 1/2*z**5 + 0 + 27/2*z**3 - 13*z + 11/2*z**2 = 0.
-13, -1, 0, 1, 2
Let p(s) be the first derivative of 4*s**3/3 + 30*s**2 + 56*s - 599. Solve p(i) = 0 for i.
-14, -1
Let p(h) be the first derivative of 2*h**3/39 + 24*h**2/13 + 270*h/13 + 2420. Determine g, given that p(g) = 0.
-15, -9
Let u(v) be the second derivative of 4/9*v**3 + 0 - 1/2*v**4 + 0*v**2 - 36*v + 1/20*v**5 + 1/45*v**6. Factor u(h).
h*(h - 2)*(h + 4)*(2*h - 1)/3
Suppose 0 = -2*k - 103 + 113. What is b in b + 17*b**3 + b**k - 22*b**3 + 3*b = 0?
-2, -1, 0, 1, 2
Let f = 14150/4029 + -240/1343. Suppose 6*c - 6 = 3*c. Suppose 4/3*s + 42*s**4 - f*s**c - 16*s**3 + 0 = 0. What is s?
-2/7, 0, 1/3
Let o(l) be the first derivative of -l**9/1008 + l**8/280 - l**6/60 + l**5/40 - 2*l**3/3 + 27*l + 67. Let s(z) be the third derivative of o(z). Factor s(m).
-3*m*(m - 1)**3*(m + 1)
Let d(m) = 7*m**4 + 29*m**3 + 76*m**2 + 306*m. Let r(s) = -s**4 - s**3 + 14*s**2 - s. Let p(l) = d(l) + 6*r(l). What is c in p(c) = 0?
-10, -3, 0
Factor 18*s - 676/19 - 2/19*s**2.
-2*(s - 169)*(s - 2)/19
Let t(a) be the third derivative of a**5/210 - 163*a**4/7 + 318828*a**3/7 + 17*a**2 + 2*a - 9. Let t(h) = 0. What is h?
978
Let t(c) be the third derivative of -c**5/240 - 1249*c**4/48 - 1560001*c**3/24 + c**2 + 4732*c. Factor t(n).
-(n + 1249)**2/4
Let c = 337008 - 337005. Solve 21/4*k**c + 15/4*k**4 - 6 - 27/2*k**2 - 21*k = 0 for k.
-2, -1, -2/5, 2
Suppose -3*j - w = -1922, j - 704 + 50 = 3*w. Let k = -640 + j. Determine s, given that -2/11*s**k + 2/11*s**3 - 16/11 - 20/11*s = 0.
-2, -1, 4
Let a(s) be the first derivative of -125*s**6/12 + 55*s**5/2 + 405*s**4/8 - 215*s**3/6 - 70*s**2 - 30*s - 6802. Solve a(d) = 0.
-1, -2/5, 1, 3
Let l(j) = 15*j**2 - 612*j. Let d(g) = -17*g**2 + 614*g. Let a(v) = -6*d(v) - 7*l(v). Factor a(k).
-3*k*(k - 200)
Let r(d) = 28*d**3 - 768*d**2 + 1772*d + 43068. Let c(u) = 4*u**3 - 110*u**2 + 253*u + 6153. Let f(h) = -20*c(h) + 3*r(h). Factor f(m).
4*(m - 16)**2*(m + 6)
Factor -1632*d - 6*d**2 + 4*d**2 - 58931 - 273997.
-2*(d + 408)**2
Let y be (3/(-10))/(554/(-11080)). Let n(o) be the second derivative of 16*o + 10/3*o**3 + 0 - 1/5*o**5 - 1/3*o**4 - y*o**2. Let n(w) = 0. Calculate w.
-3, 1
Let o(k) be the second derivative of k**5/90 + 38*k**4/27 - 316*k**3/27 + 320*k**2/9 + 1431*k. Solve o(m) = 0 for m.
-80, 2
Let a = -102 - -108. What is n in -6*n - 3908*n**3 - 3*n**2 - 3*n**4 + a*n**4 + 3914*n**3 = 0?
-2, -1, 0, 1
Suppose -8*d - 10*d + 36 = 0. Factor 32769*w + 274360 - 11109*w + 17121*w**d + 5*w**3 - 16551*w**2.
5*(w + 38)**3
Let m be (-21)/30 - 35796/(-18840). Solve -4/5*p + m*p**2 + 0 - 2/5*p**3 = 0 for p.
0, 1, 2
Solve -3/2*k**4 + 372*k**3 + 0 + 3/2*k**2 - 372*k = 0.
-1, 0, 1, 248
Factor -2312*h**2 + 0*h + 0 + 32*h**4 - 1/2*h**5 - 442*h**3.
-h**2*(h - 34)**2*(h + 4)/2
Let t(f) be the first derivative of f**4/4 + 29*f**3/3 + 136*f**2 + 832*f - 2791. Factor t(c).
(c + 8)**2*(c + 13)
Let a(x) be the second derivative of x**6/30 - x**5/4 - 7*x**4 - 122*x**3/3 - 104*x**2 + 690*x + 1. Factor a(s).
(s - 13)*(s + 2)**2*(s + 4)
Let h be ((-3 - 8) + 30248/2736)*9. Factor -1/8*k**2 - h*k**3 + 1/8*k**4 + 0 + 1/2*k.
k*(k - 4)*(k - 1)*(k + 1)/8
Let o = -5 + 3. Let j be (-6)/3 - (-233 + o). Find x such that -1 - j*x**5 + 24*x**4 + 1 + 237*x**5 + 36*x**3 = 0.
-3, 0
Let k(g) be the second derivative of g**4/36 + 10*g**3/9 - 96*g**2 - g + 1346. Factor k(b).
(b - 16)*(b + 36)/3
Let h(s) be the first derivative of 2*s**5/25 + 63*s**4/10 - 52*s**3/3 + 4349. Factor h(v).
2*v**2*(v - 2)*(v + 65)/5
Let m(a) be the second derivative of 3*a**4 + 14/3*a**3 - a + 4*a**2 - 1 + a**5 + 2/15*a**6. Factor m(x).
4*(x + 1)**3*(x + 2)
Suppose 0 = -4*b + 4, 11*b - 14*b - 5687 = -5*q. Let f = q + -10232/9. Factor 0 + f*u + 2/9*u**2.
2*u*(u + 5)/9
Let n(w) be the first derivative of 5*w**4/4 + 145*w**3/3 - 75*w**2 + 318. Factor n(i).
5*i*(i - 1)*(i + 30)
Suppose 639 = 3*c + 6*c. Let u = c - 64. Solve -2 + u*y - 3*y**2 + 17*y - 12*y - 10 = 0 for y.
2
Let l(k) be the first derivative of -2*k**3/9 + 1328*k**2/3 - 881792*k/3 + 8538. Determine i, given that l(i) = 0.
664
Let -1/3*x**4 - 1859*x**2 + 52456/3*x - 110224/3 - 158/3*x**3 = 0. What is x?
-83, 4
Let o(a) = 2*a - 75. Let j(v) = v**3 + 