 - 2*x**r + 3 + 2 - 6.
-2*(x - 1)*(x + 1)
Let j(o) be the third derivative of -o**5/150 - 4*o**4/15 + 17*o**3/15 + 12*o**2. Factor j(b).
-2*(b - 1)*(b + 17)/5
Let k(g) be the third derivative of g**8/3360 + g**7/210 + g**6/72 + 5*g**4/4 - 34*g**2. Let s(i) be the second derivative of k(i). Factor s(z).
2*z*(z + 1)*(z + 5)
Let q(d) be the third derivative of -d**8/23520 + d**7/2205 - d**6/840 - 17*d**4/24 + 6*d**2. Let g(o) be the second derivative of q(o). Factor g(n).
-2*n*(n - 3)*(n - 1)/7
Let s(y) be the third derivative of -y**5/30 - y**4/6 + 8*y**3/3 - 7*y**2 - 11. What is c in s(c) = 0?
-4, 2
Let w(o) = 2 + o**2 + 4*o**3 + 5*o**3 + 6*o**3 - 14*o**3. Let t be w(0). Suppose 6*j**3 + 16*j**4 + 32/3*j**5 + 2/3*j**t + 0*j + 0 = 0. Calculate j.
-1, -1/4, 0
Let f = 9 + -16. Let l = f + 9. Let 19 + 8*u - 10 - 4*u**l - 13 = 0. Calculate u.
1
Let c(n) be the first derivative of 2*n**3/3 + 3*n**2/5 - 4*n/5 - 20. Factor c(y).
2*(y + 1)*(5*y - 2)/5
Let i(j) = -36*j**2 - 864*j + 858. Let c(m) = -7*m**2 - 173*m + 172. Let g(a) = 21*c(a) - 4*i(a). Factor g(p).
-3*(p - 1)*(p + 60)
Let k(i) be the third derivative of i**5/12 + 25*i**4/8 - 85*i**3/3 - 196*i**2. Factor k(f).
5*(f - 2)*(f + 17)
Let j = -10947/56 - -391/2. Let l(n) be the third derivative of 0*n - 1/140*n**5 + 0 + 5*n**2 + 0*n**3 - j*n**4. Factor l(g).
-3*g*(g + 1)/7
What is p in 21*p**2 - 105*p - 35*p**2 + 180 - 18*p**2 - 38*p**2 - 5*p**3 = 0?
-12, -3, 1
Suppose 5*q - 5*m = 30, -3*q - 14*m - 3 = -10*m. Suppose -4*y = -0*y - 4, -q*o = y - 13. Solve -1/5*z**o + 3/5*z**3 + 1/5*z**2 - 1/5*z**5 + 0 - 2/5*z = 0.
-2, -1, 0, 1
Let b(r) be the first derivative of -8/3*r**3 + 0*r**2 + 1 - 2/5*r**5 - 2*r**4 + 0*r. Let b(h) = 0. Calculate h.
-2, 0
Let i(x) be the third derivative of -7/80*x**6 + 1/10*x**5 + 0 + 0*x**4 + x**2 + 0*x - 1/35*x**7 + 1/32*x**8 + 0*x**3. Let i(m) = 0. What is m?
-1, 0, 4/7, 1
Let m(t) be the second derivative of t**4/18 - 8*t**3/9 + 16*t**2/3 + 4*t - 11. Factor m(r).
2*(r - 4)**2/3
Let k = 3/76 - -61/380. Factor -6/5*a - k*a**2 + 0.
-a*(a + 6)/5
Suppose -3*f = 5*x - 38, 3*f - 43 = 4*x + 40. Let l be 6/21*-1*f/(-4). Solve -3/4*g**2 - l + 9/4*g = 0.
1, 2
Let m = 6904 - 6901. Factor 15/4*g**2 - 3/4*g**4 - 3/2*g - 9/4*g**m + 3/4*g**5 + 0.
3*g*(g - 1)**3*(g + 2)/4
Let p(l) be the second derivative of -13/18*l**3 + 8*l - 5/36*l**4 + 0 - l**2. Factor p(r).
-(r + 2)*(5*r + 3)/3
Suppose -19 = 14*p - 89. Let j(k) be the first derivative of 0*k**2 + 0*k - 1/15*k**3 - 5 + 0*k**4 + 1/25*k**p. Factor j(d).
d**2*(d - 1)*(d + 1)/5
Let o(m) be the first derivative of 4*m**3/3 - 109*m**2/2 + 27*m + 23. Factor o(w).
(w - 27)*(4*w - 1)
Let j(p) = 7*p**3 + 10*p**2 - 11*p - 18. Let k(o) = -6*o**3 - 9*o**2 + 12*o + 18. Let l be (-1 - -7 - 0)/2. Let c(x) = l*j(x) + 4*k(x). Factor c(r).
-3*(r - 2)*(r + 1)*(r + 3)
Let k(s) = 3600*s**3 - 7560*s**2 + 729*s - 25. Let f(d) = -1200*d**3 + 2520*d**2 - 243*d + 8. Let l(i) = 7*f(i) + 2*k(i). Factor l(w).
-3*(w - 2)*(20*w - 1)**2
Suppose 139*w - 560 + 218 = 25*w. Find v, given that -2/17*v**2 + 0 + 0*v - 8/17*v**w = 0.
-1/4, 0
Let g(b) be the second derivative of b**8/17920 - b**7/2240 - b**6/480 + b**4/4 - 12*b. Let m(n) be the third derivative of g(n). Factor m(k).
3*k*(k - 4)*(k + 1)/8
Determine i, given that -97*i**2 + 90*i**4 - 10*i**3 - 116*i + 200*i**3 - 49*i + 57*i**2 - 25*i**5 - 50 = 0.
-1, -2/5, 1, 5
Let t(j) = 20*j**2 + 44*j. Let d(i) = -i**2. Let n(w) = 44*d(w) + 2*t(w). Factor n(u).
-4*u*(u - 22)
Let z(b) be the first derivative of 4/11*b**4 + 0*b**5 - 16/11*b**2 - 8 + 0*b - 1/33*b**6 + 0*b**3. Determine k, given that z(k) = 0.
-2, 0, 2
Let u be (-7)/14 - 5/(-2). Suppose -5*f + 13 = -u. Factor 6*s**4 - 24*s + 27*s - f*s**5 - s**2 - 5*s**2.
-3*s*(s - 1)**3*(s + 1)
Suppose -189*r + 187*r = -24. Suppose -14*j = -17*j + r. Determine q so that -12/5*q**3 + j*q**4 + 12/5*q - 28/5*q**2 + 8/5 = 0.
-1, -2/5, 1
Suppose -35*g = -410*g + 424 + 326. Factor g*s + 1/2*s**2 + 0.
s*(s + 4)/2
Let t(f) = 4*f**2 + 11*f - 43. Let m(u) = -u + 1. Let j(d) = 5*m(d) - t(d). Factor j(x).
-4*(x - 2)*(x + 6)
Let j(s) be the second derivative of 2*s**4/21 - 94*s**3/21 - 48*s**2/7 + 6*s - 13. Solve j(c) = 0 for c.
-1/2, 24
Let l be 7/(-9) - (249 + -250). Solve -2/9*m**4 + 0 - l*m + 2/9*m**2 + 2/9*m**3 = 0 for m.
-1, 0, 1
Let c(k) be the third derivative of -3*k**8/70 + k**7/35 - k**6/180 - 23*k**3/3 + 43*k**2. Let u(f) be the first derivative of c(f). Factor u(b).
-2*b**2*(6*b - 1)**2
Let q(w) = w**3 + 10*w**2 - 12*w + 11. Let b be q(-11). Find l such that -60*l - b + 36*l + 42*l + 4*l**2 = 0.
-11/2, 1
Let l(t) be the second derivative of -t**7/70 + t**6/20 + 3*t**5/20 - t**4/2 - 2*t**3 - t**2/2 + 10*t. Let z(a) be the first derivative of l(a). Solve z(y) = 0.
-1, 2
Let u(k) be the third derivative of 0 + 1/84*k**6 + 0*k + 1/21*k**4 + 0*k**3 + 4/105*k**5 + 29*k**2 + 1/735*k**7. Suppose u(w) = 0. Calculate w.
-2, -1, 0
Let a(r) be the first derivative of r**3/3 - 3*r**2/2 - 4*r - 116. What is f in a(f) = 0?
-1, 4
Let o(r) = -8*r + 16 - 27*r + 24*r - 2*r**2. Let c(x) be the second derivative of -x**4/4 - 2*x**3 + 8*x**2 + 2*x. Let n(z) = 3*c(z) - 4*o(z). Solve n(l) = 0.
4
Let x(r) = -r**2 + 51*r - 95. Let c be x(49). Let 5/3*w**4 + 0*w**c + 0 + 0*w + 5/6*w**5 + 0*w**2 = 0. What is w?
-2, 0
Determine c so that -4*c + 21*c + 13*c + 2*c**2 - 36 + 88 = 0.
-13, -2
Let q = 47/80 - 7/80. Let -3/2*j**3 - q*j - 2*j**2 + 0 = 0. What is j?
-1, -1/3, 0
Let q(x) be the second derivative of 0 - 25*x + 1/10*x**5 + 0*x**2 - 1/6*x**4 - 2/3*x**3. Factor q(w).
2*w*(w - 2)*(w + 1)
Let j(s) be the first derivative of s**5/15 - 5*s**4/18 + 4*s**3/9 - s**2/3 - 12*s + 9. Let a(k) be the first derivative of j(k). Suppose a(o) = 0. Calculate o.
1/2, 1
Let t(o) be the second derivative of -o**7/63 - 2*o**6/45 + 4*o**5/15 - o**4/9 - 7*o**3/9 + 4*o**2/3 + o. Determine i so that t(i) = 0.
-4, -1, 1
Factor 74/7*n**2 + 30/7*n**4 - 24/7*n - 78/7*n**3 - 2/7*n**5 + 0.
-2*n*(n - 12)*(n - 1)**3/7
Let t(m) be the first derivative of -1/180*m**6 - 1/36*m**3 + 2*m + 0*m**2 + 1/72*m**4 + 1/120*m**5 - 3. Let u(f) be the first derivative of t(f). Factor u(b).
-b*(b - 1)**2*(b + 1)/6
Let g(i) be the third derivative of i**7/630 - i**6/90 + i**5/45 - 53*i**2. Find w, given that g(w) = 0.
0, 2
Let f be (-1 - -6) + 3 + -5. Find j such that -5*j**f + j + 2*j**3 + 6*j**2 - 4*j**3 = 0.
-1/7, 0, 1
Let z(j) be the first derivative of -7/12*j**3 + 1/12*j**4 + 3 + 3/4*j**2 + j. Let i(l) be the first derivative of z(l). Let i(f) = 0. What is f?
1/2, 3
Let n be (157/15 - 10)/(1/(-399)). Let c = n + 187. Factor 6/5*j - c + 6/5*j**2 - 4/5*j**3.
-2*(j - 2)*(j + 1)*(2*j - 1)/5
Solve 17*z**2 - 33 - 5*z**3 + 118*z**2 + 281*z + 178 + 4*z = 0.
-1, 29
Let x(q) be the first derivative of -1/8*q**4 - 1/6*q**3 + 20 + 1/2*q**2 + 0*q. Solve x(o) = 0 for o.
-2, 0, 1
Suppose 0 = 4*i + 20, 21 = 3*f - i - 2*i. Let 1 + 3 - 5 + 16*h + 13 + 4*h**f = 0. What is h?
-3, -1
Let v(u) be the first derivative of -2/5*u**5 - 19 + 0*u + 2/3*u**3 - 15/8*u**4 + 0*u**2. Factor v(i).
-i**2*(i + 4)*(4*i - 1)/2
Let n = -3/2246 + 4519/20214. Solve 2/9*o - 2/9*o**3 + n*o**2 - 2/9 = 0.
-1, 1
Suppose 6*f = 3*c + 3*f + 12, -3*c - 6 = -5*f. Let h = -7 - c. Let -1/6*n**3 + h*n**2 + 0 + 0*n - 1/6*n**4 = 0. Calculate n.
-1, 0
Let m(o) = -o**4 - o**3 - 2*o**2 - o - 1. Let v(p) = -11*p**4 - 36*p**3 - 17*p**2 + 15*p - 23. Let d(w) = 30*m(w) - 2*v(w). Solve d(r) = 0.
-1, 1/4, 2, 4
Let o(k) be the first derivative of -4/9*k**3 + 1/3*k**4 - 5 - 10/3*k**2 - 4*k. Factor o(v).
4*(v - 3)*(v + 1)**2/3
Let z be 86/30 + 2*(-9)/(-135). Let c(n) be the third derivative of -1/2*n**4 + 3/2*n**z + 0*n + 1/20*n**5 + 0 - 6*n**2. Solve c(i) = 0.
1, 3
Let s(v) be the third derivative of v**6/120 + 3*v**5/20 + 5*v**4/6 - 34*v**2 - 14. Factor s(l).
l*(l + 4)*(l + 5)
Let o(n) = 12*n**2 - 64. Let p(l) = 10*l**2 - 64. Let a(x) = -3*o(x) + 4*p(x). Factor a(m).
4*(m - 4)*(m + 4)
Solve 10*v**3 + 220*v**4 - 30 - 3*v + 60*v**2 - 250*v**4 - 2*v - 5*v**5 = 0.
-6, -1, 1
Let o be (-7)/(-4) - (-30)/120. Suppose 1/2*q - 2*q**4 - o + 4*q**2 + 1/2*q**5 - q**3 = 0. What is q?
-1, 1, 4
Let m(r) be the second derivative of -r**6/45 + 124*r**5/5 - 11532*r**4 + 2859936*r**3 - 398961072*r**2 + 289*r. What is v in m(v) 