**3 - 14*v**4 - 25*v**2 - j*v**2 - v**4 + 4*v + 14*v.
-3*v*(v - 3)*(v - 1)*(5*v - 2)
Let m(g) be the first derivative of -1/15*g**5 + 1/6*g**4 + 3*g + 5 + 0*g**3 - 1/3*g**2. Let t(a) be the first derivative of m(a). Factor t(j).
-2*(j - 1)**2*(2*j + 1)/3
Let q(h) = -27*h + 274. Let r be q(10). Suppose -2/3*f**2 + r + 2/3*f = 0. Calculate f.
-2, 3
Suppose -3*p + 14 = -4*m + 58, -5*p - 20 = 0. Let b(f) be the second derivative of 0 - 1/50*f**5 - 1/30*f**4 + m*f + 1/5*f**2 + 1/15*f**3. Factor b(i).
-2*(i - 1)*(i + 1)**2/5
Let n(g) be the first derivative of 0*g**4 - 38 - 2/25*g**5 + 14/15*g**3 - 6/5*g**2 + 0*g. Factor n(z).
-2*z*(z - 2)*(z - 1)*(z + 3)/5
Let g be 22/(-33)*(-30)/25. Let r = -1/321 + 2894/1605. Find c, given that g + 42/5*c**2 - r*c**3 - 5*c = 0.
1/3, 4
Let d(f) be the second derivative of 30*f**7/7 + 46*f**6/5 + 32*f**5/5 + 4*f**4/3 + 2*f - 63. Determine n so that d(n) = 0.
-2/3, -1/5, 0
Let z = 559 + -369. Suppose -195*q = -z*q - 20. Determine p so that 9/4*p**q + p + 4*p**2 + 21/4*p**3 + 0 = 0.
-1, -2/3, 0
Let q(l) = l + 2. Let s be q(13). Let v = -11 + s. Suppose -5*z - v*z + 3*z**4 - 24*z**2 - 12*z**3 - 5*z**4 - 7*z = 0. Calculate z.
-2, 0
Factor -2/13*h**2 + 252/13 - 6*h.
-2*(h - 3)*(h + 42)/13
Suppose -7*b + 4*b = -69. Suppose 3*j - 7 = -5*x - b, 3*x = -3*j - 6. Solve 2*q - q**2 - 5*q + j*q + q**3 = 0 for q.
0, 1
Let d = 21 - 2. Factor -d*x**2 - x**4 - x**4 + 34*x**3 + 51*x**2 + 8*x + 12*x**4.
2*x*(x + 1)*(x + 2)*(5*x + 2)
Let r(w) = -2*w + 11 - 5 - 17*w. Let f(u) = -6*u + 2. Let m(c) = -14*f(c) + 4*r(c). Let o(l) = l**2 - l + 1. Let b(s) = m(s) + 4*o(s). Let b(a) = 0. What is a?
-1, 0
Let z = -46 + 48. Factor 3450 - 3450 - t**z - t.
-t*(t + 1)
Let k(g) be the second derivative of -g**6/1440 + g**5/160 - g**4/48 + 2*g**3/3 + 6*g. Let l(r) be the second derivative of k(r). Factor l(t).
-(t - 2)*(t - 1)/4
Let g be -1 - 1/214*-212. Let w = 209/535 - g. Find j, given that 1/5*j**4 + 0*j + 0 + w*j**3 + 1/5*j**2 = 0.
-1, 0
Let r be 0 - ((-8)/28 + (-130)/35). Let m(y) be the first derivative of r*y**2 - 2/3*y**3 - 8*y - 5. Factor m(i).
-2*(i - 2)**2
Let u(k) = -10*k**3 + 10*k**2 - 4*k - 36. Let g(h) = -12*h**3 + 9*h**2 - h - 37. Let v(t) = -4*g(t) + 5*u(t). Factor v(p).
-2*(p - 4)**2*(p + 1)
Solve 5*v**2 + v**4 + 35*v - 68*v**3 - 2*v**2 + 17 + 0*v - 5*v**4 + 17*v = 0.
-17, -1/2, 1
Find h such that 14/19*h - 2/19*h**2 + 88/19 = 0.
-4, 11
Suppose -f + 299 = 2*w - 395, -2*f + 1736 = 5*w. Find q such that w - 3*q - 350 - 3*q**3 - 8*q**2 - 4*q = 0.
-1, -2/3
Find k, given that 4*k + 2 + 12*k**2 + 6 - 16*k**2 = 0.
-1, 2
Let p(w) be the first derivative of -3 - 2/35*w**5 + 2/21*w**3 + 0*w + 0*w**4 + 0*w**2. Determine t, given that p(t) = 0.
-1, 0, 1
Let o(z) be the third derivative of -z**5/10 + 35*z**4/132 - 2*z**3/33 - 18*z**2 - 5. Factor o(p).
-2*(p - 1)*(33*p - 2)/11
Let g(w) = 17*w**2 - 19*w + 64. Let u(s) = 10*s**2 - 9*s + 33. Let p(k) = 3*g(k) - 5*u(k). Factor p(a).
(a - 9)*(a - 3)
Let d = 4/10043 + 10035/20086. What is l in 3/2*l**3 + 0 - 3/2*l**2 - 1/2*l**4 + d*l = 0?
0, 1
Let h(q) be the first derivative of 7 + 1/210*q**5 + 0*q + 4/21*q**3 - q**2 + 1/21*q**4. Let u(t) be the second derivative of h(t). Factor u(z).
2*(z + 2)**2/7
Suppose 21 = -241*p + 248*p. Let x(j) be the second derivative of 0*j**2 + 1/33*j**p + 0*j**4 + 0 + 5*j - 1/110*j**5. Factor x(s).
-2*s*(s - 1)*(s + 1)/11
Suppose 0 = a, 5*a + 15 + 3 = -3*u. Let j be 4/6*u/4 - -3. Factor 0 + 9/2*m**4 + 0*m + 3/2*m**5 + 3/2*m**j + 9/2*m**3.
3*m**2*(m + 1)**3/2
Let l be (-1)/((-4)/34 - 26/68). Suppose -4*z + l*z = -3*z. Let 0*i**2 + 1/4*i - 1/4*i**3 + z = 0. What is i?
-1, 0, 1
Let g(k) = k**2 - 7*k + 31. Let w(r) = -4 + 0*r - 6 + 2*r. Let z be ((-28)/77 - 0)/((-6)/33). Let h(n) = z*g(n) + 7*w(n). Suppose h(f) = 0. Calculate f.
-2, 2
Let t(x) be the first derivative of -x**9/1512 + x**7/140 - x**6/90 - 13*x**3/3 - 9. Let q(v) be the third derivative of t(v). Let q(i) = 0. Calculate i.
-2, 0, 1
Suppose 0 = y - 5*l + 28, 2*l - 27 = -2*y - 11. Factor 2*i + 1/2*i**y + 3/2.
(i + 1)*(i + 3)/2
Let 405*q**5 - 67*q**2 - 20*q - 385*q**3 - 21*q**4 + 24*q**2 + 124*q**2 + 99*q**2 - 159*q**4 = 0. Calculate q.
-1, 0, 2/9, 1
Suppose -24*t + 48 + 72 = 0. Let v(u) be the second derivative of -1/14*u**4 + 0 - 1/7*u**2 - 1/7*u**3 - 1/70*u**t - u. Solve v(o) = 0 for o.
-1
Factor 72/5 + 4/5*d**2 - 36/5*d.
4*(d - 6)*(d - 3)/5
Let l = 531 + -529. Let u(q) be the first derivative of 0*q**2 + l + 1/2*q**4 - 2/3*q**3 + 0*q. Factor u(g).
2*g**2*(g - 1)
Solve -3/2*u**3 - 9*u + 0 - 15/2*u**2 = 0 for u.
-3, -2, 0
Let j = 156 + -327. Let s be (j/15)/(-3) + -3. What is a in -2*a**2 - 2/5*a**4 - s*a - 8/5*a**3 + 0 = 0?
-2, -1, 0
Let r(i) = -i**4 - 3*i**3 - 2*i**2. Let x(w) = 2*w**4 + 4*w**3 + 2*w**2. Let f(o) = -3*r(o) - 2*x(o). Find a such that f(a) = 0.
-1, 0, 2
Let z be 3 + ((-225)/195 - 4/(-26)). Suppose 7*g = z*s + 2*g - 4, -3*s = -g - 6. Factor 0 + 2/3*b**s + 4/3*b.
2*b*(b + 2)/3
Let c(z) be the first derivative of 2/3*z**3 + 4*z**2 - 1/2*z**4 - 8*z - 13. Factor c(x).
-2*(x - 2)*(x - 1)*(x + 2)
Let d(q) be the first derivative of q**7/840 + q**6/480 - q**5/120 + 16*q**2 + 7. Let c(w) be the second derivative of d(w). Factor c(s).
s**2*(s - 1)*(s + 2)/4
Let w = -658 + 658. Let m(q) be the third derivative of w + 1/70*q**7 - 1/4*q**4 + 1/20*q**6 - 1/20*q**5 + 5*q**2 + 0*q + 0*q**3. Suppose m(i) = 0. Calculate i.
-2, -1, 0, 1
Let p(n) be the first derivative of n**7/1365 - n**5/390 + 2*n**2 - 6. Let b(u) be the second derivative of p(u). Determine y so that b(y) = 0.
-1, 0, 1
Let h(s) = 5*s - 7. Let d(j) = -4*j + 8. Let l(g) = 7*d(g) + 6*h(g). Let p be l(-5). Solve -1/7*x**p - 2/7*x**3 + 2/7*x + 1/7 + 0*x**2 = 0 for x.
-1, 1
Let q = -3461 - -3461. Suppose u - 2*u = c - 6, 3*u - 10 = -c. Suppose -1/7*x + 1/7*x**u + q = 0. What is x?
0, 1
Suppose j - 388*j - 6 + 6 = 0. Factor -9*f**3 + 13/3*f**2 - 2/3*f - 7/3*f**5 + j + 23/3*f**4.
-f*(f - 1)**3*(7*f - 2)/3
Let s = 3/5155 + 205/2062. Determine r, given that 1/2*r + s*r**2 + 2/5 = 0.
-4, -1
Let j = 189 - 186. Let t be j/(-35) + (30/7 - 4). Find z such that -2/5*z + 0 - t*z**4 + 2/5*z**3 + 1/5*z**2 = 0.
-1, 0, 1, 2
Factor -4/3*y**2 - 2512/3*y - 394384/3.
-4*(y + 314)**2/3
Let x(g) be the second derivative of -g**4/3 - 8*g**3 + 128*g**2 - 543*g. Factor x(i).
-4*(i - 4)*(i + 16)
Suppose 2*b - 11 + 0 = q, -3*b = -2*q - 15. Suppose -12*j = b*j. Factor -1/5*p**4 + 0*p**3 - 1/5 + 2/5*p**2 + j*p.
-(p - 1)**2*(p + 1)**2/5
Let u(b) = 2*b**3 - 5*b + 25. Let j(r) = r**3 - 3*r + 13. Let k(t) = 5*j(t) - 3*u(t). Let l(x) be the first derivative of k(x). Factor l(w).
-3*w**2
Suppose 4 = -4*f, -4*t = -9*t - 3*f + 17. Factor 3*g**2 - g**2 + 6*g + 0 - 4*g**3 - 2 - 6*g**2 - 2*g**5 + 6*g**t.
-2*(g - 1)**4*(g + 1)
Let m(g) be the third derivative of -g**6/120 - 9*g**5/20 + 6*g**2 + 5*g. Let m(l) = 0. What is l?
-27, 0
Let f(l) = 3*l**2 + 8*l. Let y be f(-3). Suppose -4*k - 15 = 5*t - y, -5*k + 26 = -4*t. Factor -1/3*w**k + w + 0.
-w*(w - 3)/3
Suppose 0 = 3*a - 9*a - 108. Let d = a + 21. Factor -7*w - 8 - 10*w**2 - w + 12*w + 12*w + 2*w**d.
2*(w - 2)**2*(w - 1)
Let m(n) = 0*n**2 + 9*n + n**2 - 4*n**2. Let g(y) = y**2 + 3*y + 1 - 3 - 4*y + 1. Let b(v) = 6*g(v) + m(v). Factor b(d).
3*(d - 1)*(d + 2)
Let t(l) be the first derivative of -10*l**2 + 16/3*l**3 + 8*l - l**4 - 33. Factor t(p).
-4*(p - 2)*(p - 1)**2
Let i(x) be the third derivative of -x**7/1680 - x**6/960 + x**5/160 + x**4/192 - x**3/24 - x**2 + 25. Factor i(h).
-(h - 1)**2*(h + 1)*(h + 2)/8
Factor -2*s**2 + 325*s - 22158 + 415*s - 23132 - 23160.
-2*(s - 185)**2
Let y = -510 + 516. Let s(k) be the second derivative of 1/35*k**y - 1/7*k**2 - 1/21*k**4 - 1/35*k**5 - 1/147*k**7 + 1/7*k**3 + 0 - 10*k. Factor s(m).
-2*(m - 1)**4*(m + 1)/7
Let y(k) be the first derivative of -5*k**6/2 + 66*k**5/5 - 6*k**4 - 80*k**3 + 168*k**2 - 96*k + 137. Determine i so that y(i) = 0.
-2, 2/5, 2
Suppose 0*k - 4*k = -16. What is l in -4*l**3 - 7*l**k + 3*l**4 + 5*l**5 - 4*l**4 = 0?
-2/5, 0, 2
Let q = -532 - -532. Let f(p) be the first derivative of -1/2*p**6 + 0*p**5 + 3/4*p**4 + q*p + 0*p**3 - 4 + 0*p**2. What is s in f(s) = 0?
-1, 0, 1
What is p in 7*p**2 - p**2 - 904*p + 492980 + 1770*p - p**2 + 2274*p = 0?
-314
Let s be ((-18)/12)/((-3)