 + 200*q. Factor g(b).
5*b*(b + 2)**2*(b + 8)
Let s(f) be the second derivative of 95*f**4/8 + 295*f**3/12 + 5*f**2/2 + 90*f. Factor s(z).
5*(z + 1)*(57*z + 2)/2
Suppose 3*a - 9 - 4 = -2*m, -a - 2*m + 3 = 0. Let f(h) = 10*h**2 + 65*h + 50. Let t(q) = -5*q**2 - 32*q - 25. Let v(w) = a*t(w) + 2*f(w). Solve v(i) = 0 for i.
-5, -1
Suppose w = -2 + 7. Let s be 12/30*w/14. Factor s - 1/7*g - 1/7*g**2 + 1/7*g**3.
(g - 1)**2*(g + 1)/7
Let s(p) be the second derivative of 1/30*p**6 + 5/12*p**4 - 1/3*p**3 + 0*p**2 - 10*p - 1/5*p**5 + 0. Let s(v) = 0. What is v?
0, 1, 2
Let j(k) be the second derivative of k**4/8 + 5*k**3/2 + 287*k. Factor j(n).
3*n*(n + 10)/2
Let z(h) = -h**4 - h**3 - h**2 + h + 1. Let q(v) = 4*v**4 + 2*v**3 + 3*v**2 - 3*v - 3. Let s = 7 - 10. Let c(u) = s*z(u) - q(u). Factor c(f).
-f**3*(f - 1)
Let c(x) be the second derivative of 0 - 31*x + 1/15*x**5 - 4/3*x**2 - 1/180*x**6 - 1/3*x**4 + 8/9*x**3. Determine b so that c(b) = 0.
2
Solve -188/7*s**4 + 4418/7*s**3 + 0 + 0*s + 2/7*s**5 + 0*s**2 = 0 for s.
0, 47
Let z(f) = -f**3 + 3*f**2 - f - 1. Let x(p) = -5*p**3 + 15*p**2 - 6*p - 4. Suppose -g + 9 = -3*c, -c - c = -3*g - 8. Let d(y) = g*x(y) + 33*z(y). Factor d(a).
-3*(a - 3)*(a - 1)*(a + 1)
Suppose 0*j + 4*j = 8. Let b = j - -1. Suppose 0*o**b + 6*o**3 + 2 + 3*o**2 - 1 - 6*o - 4 = 0. What is o?
-1, -1/2, 1
Let o(b) = -2*b**2 + 40. Let a(n) = -2*n**2 + 42. Let q(g) = 4*a(g) - 5*o(g). Factor q(s).
2*(s - 4)*(s + 4)
Let z(b) = -20 + 16*b - 28*b + 8*b. Let x be z(-5). What is j in x + 0*j**2 + 0*j + 1/3*j**3 = 0?
0
Let j(d) = 12 + d + 8*d**2 - 5 - 16*d. Let c(v) = -15*v**2 + 30*v - 15. Let f(z) = 3*c(z) + 5*j(z). Factor f(k).
-5*(k - 2)*(k - 1)
Let d(l) be the first derivative of -1587*l**4/32 - 437*l**3/8 + 33*l**2/2 - 3*l/2 - 259. Factor d(h).
-3*(h + 1)*(23*h - 2)**2/8
Let b = -29 + 31. Solve -9*j**2 - b*j + 15*j**3 - 6*j**4 + 0*j**4 - 29*j**3 - j**2 = 0 for j.
-1, -1/3, 0
Let v = -22 + 21. Let k(z) = z**3 + z**2 - z. Let w(h) = -8*h**3 + h**2 + 5*h. Let y(f) = v*w(f) - 5*k(f). Let y(b) = 0. What is b?
0, 2
Let a(t) be the second derivative of t**7/14 + 2*t**6/3 + 39*t**5/20 + 3*t**4/2 + 3*t. Factor a(s).
s**2*(s + 3)**2*(3*s + 2)
Let s(o) be the first derivative of 2*o**6/27 - 22*o**5/45 + o**4/3 + 58*o**3/27 - 14*o**2/9 - 16*o/3 + 175. Find b such that s(b) = 0.
-1, 3/2, 2, 4
Let u = 2/17847 + 3123217/71388. Determine m, given that u*m**2 + 22*m + 3 + 49/4*m**3 = 0.
-3, -2/7
Let u = -22 - -26. Find l such that 36*l**4 + 5*l**5 + 7*l**2 - 6*l**u + 65*l**3 + 53*l**2 + 20*l = 0.
-2, -1, 0
Let f(c) = -13*c - 115. Let b be f(-9). Let o(h) be the second derivative of 8/19*h**3 - 7/38*h**4 - 4/19*h**b + 5*h + 0 + 1/38*h**5. Factor o(s).
2*(s - 2)**2*(5*s - 1)/19
Suppose 0*m**3 + 15*m**2 - 5*m**4 - 20*m**3 + 50*m - 465 + 425 = 0. Calculate m.
-4, -2, 1
Suppose -3*z = 2*y - 2, -z + 7*y = 4*y - 19. Suppose 4*b - 15 + 3 = 0. Factor -39/5*x**2 - 3/5 + 36/5*x**b - 12/5*x**z + 18/5*x.
-3*(x - 1)**2*(2*x - 1)**2/5
Factor -63 + 2 - 10*k + 26 + 25*k**2.
5*(k + 1)*(5*k - 7)
Let y(h) = 3*h**2 - 7*h - 10. Let o be 2 - 2/2*35. Let c(b) = 48*b**2 - 111*b - 159. Let m(z) = o*y(z) + 2*c(z). Find a such that m(a) = 0.
-1, 4
Suppose h + 2*f + 70 = 0, 0*h - 378 = 5*h - 4*f. Let a = h + 77. Let -3/5 + 3/5*t**2 - 3/5*t + 3/5*t**a = 0. Calculate t.
-1, 1
Let q be (-2)/25*(-26 - -24). Let j(k) be the first derivative of 3 - 1/5*k**4 + 0*k + 0*k**2 + q*k**5 + 0*k**3. Factor j(x).
4*x**3*(x - 1)/5
Let w = 7 - 4. Let b be (1*3)/((-3)/(-20)*5). Let -11*j**3 - j - 5*j**2 - j - j**w - 8*j**b - 3*j**2 - 2*j**5 = 0. Calculate j.
-1, 0
Let o(s) be the first derivative of 14*s**5/5 - 25*s**4/2 - 80*s**3/3 + 100*s**2 + 96*s - 62. Determine h so that o(h) = 0.
-2, -3/7, 2, 4
Let s be (-63)/(-9) - 306/72. Solve s*u - u**2 + 3/4 = 0.
-1/4, 3
Let p = 1586 - 17428/11. Factor -2/11*w**3 - 48/11*w + p*w**2 + 32/11.
-2*(w - 4)**2*(w - 1)/11
Let o(m) be the second derivative of -m**4/3 - 20*m**3/3 - 2*m - 28. Let o(z) = 0. What is z?
-10, 0
Let r(c) be the second derivative of 3*c**2 + 1/2*c**3 - 3/20*c**5 + 1/10*c**6 - 14*c - 3/4*c**4 + 0. Find s such that r(s) = 0.
-1, 1, 2
Suppose n + 1422 = 3*n + 2*f, -4*n + 3*f = -2865. Let p = n - 6394/9. What is t in p*t**4 + 10/9*t**3 + 0 + 2*t**5 - 4/9*t**2 + 0*t = 0?
-1, 0, 2/9
Let y(r) be the third derivative of -r**8/1344 + 11*r**7/280 - 31*r**6/160 + 91*r**5/240 - 5*r**4/16 - 463*r**2. Determine k, given that y(k) = 0.
0, 1, 30
Let j be (-1)/(10/(-85))*34. Find m, given that -3*m**2 - 2*m**2 - 294 - 10*m + j = 0.
-1
Let y = 674/21 + -32. Let k(o) be the first derivative of 4 - y*o**3 - 1/7*o**2 + 0*o. Determine f, given that k(f) = 0.
-1, 0
Let c(g) = 5*g + 1. Let x be c(-1). Let r = x + 7. Factor 2 + 10*n - 6*n**2 + 7*n**2 + r*n**2 + 4*n**2.
2*(n + 1)*(4*n + 1)
Let m(o) be the second derivative of -o**8/3360 - o**7/560 - o**6/240 - o**5/240 + 2*o**3 - 19*o. Let k(v) be the second derivative of m(v). Factor k(i).
-i*(i + 1)**3/2
Suppose 1445/3 + 5/3*w**2 - 170/3*w = 0. What is w?
17
Suppose -11 - 5 = -4*g. Suppose 9*t = 5*t + 16. Suppose -g*v**2 - 2*v**3 - 1 + 2*v + 0*v + t + 1 = 0. What is v?
-2, -1, 1
Let j(q) = 59*q - 3. Let o be j(1). Determine v, given that 6 + 2*v**3 + 70*v + 10*v**2 - o*v + 0*v**3 = 0.
-3, -1
Let f(j) be the second derivative of 0 + 38*j - 1/6*j**4 - 10*j**2 - 7/3*j**3. What is p in f(p) = 0?
-5, -2
Let j(n) be the first derivative of -1/3*n + 0*n**2 + 1/9*n**3 - 18. Suppose j(g) = 0. What is g?
-1, 1
Let i = -41219/4 - -10306. Factor 1/4*s**3 + 7/4*s - i*s**2 - 3/4.
(s - 3)*(s - 1)**2/4
Let a(s) = -4 - 12*s + s**2 + 3 + 4. Let t be a(12). Factor 4*c**3 - c + c**2 - 2*c**3 - 1 - c**t.
(c - 1)*(c + 1)**2
Let l(q) be the third derivative of q**6/660 - q**5/30 + 13*q**4/66 - 16*q**3/33 + 5*q**2 - 3. Factor l(n).
2*(n - 8)*(n - 2)*(n - 1)/11
Let c(m) be the third derivative of 1/336*m**8 + 0 - 3/70*m**7 + 1/4*m**6 + 21*m**2 + 0*m - 23/30*m**5 + 11/8*m**4 - 3/2*m**3. Factor c(j).
(j - 3)**2*(j - 1)**3
Let k(u) = -2*u**2 - 5*u + 3. Let g be k(-2). Suppose g*b = 5*f + 15, -5*f + 4*b - 6*b = -6. Solve 0 + q**3 + f*q + 9*q**4 - 2/3*q**2 = 0.
-1/3, 0, 2/9
Suppose b = 3*q + 144, -4*b - q = -7*b + 448. Let r = 152 - b. Factor -1/4*i**r + 3/4*i - 1/2.
-(i - 2)*(i - 1)/4
Factor -23/2*q**2 + 75/2 + 1/2*q**3 - 53/2*q.
(q - 25)*(q - 1)*(q + 3)/2
Find r such that 2/5*r**5 - 64/5*r + 62/5*r**3 + 26/5*r**4 + 14/5*r**2 - 8 = 0.
-10, -2, -1, 1
Factor -16/7*j**2 + 64/7 + 16/7*j - 4/7*j**3.
-4*(j - 2)*(j + 2)*(j + 4)/7
Let a(y) = -37*y**2 + 96*y + 64. Let t(q) = -9*q**2 + 24*q + 16. Let n(d) = -2*a(d) + 9*t(d). Find r, given that n(r) = 0.
-4/7, 4
Factor 13/5*g**2 - 3*g + 2/5.
(g - 1)*(13*g - 2)/5
Suppose 28 + 52 = 16*z. Let p(h) be the first derivative of -8/9*h**3 + 2/3*h**2 + 0*h + 1/5*h**z + 9 + 1/12*h**4. Solve p(v) = 0 for v.
-2, 0, 2/3, 1
Let d be 7/14*(-5)/9. Let z = 2/9 - d. Solve r + z - 1/2*r**2 - r**3 = 0.
-1, -1/2, 1
Let r be (-60)/(-140) + (-83)/210. Let d(g) be the second derivative of 16/5*g**2 + r*g**4 - 8/15*g**3 + 0 - 5*g. Factor d(p).
2*(p - 4)**2/5
Let x(c) be the third derivative of c**6/600 - c**5/600 - c**4/60 - 7*c**3/6 + 4*c**2. Let s(m) be the first derivative of x(m). Let s(n) = 0. Calculate n.
-2/3, 1
Solve 300*d**2 + 41*d - 488*d**3 - 3*d - 2*d + 761*d**3 + 66*d**4 = 0 for d.
-2, -3/22, 0
Let j(h) = -20*h**4 - 20*h**3 + 4*h**2 - 12*h. Suppose -o = -4 + 5. Let n(l) = -l**4 - l**3 - l. Let k(d) = o*j(d) + 16*n(d). Factor k(i).
4*i*(i - 1)*(i + 1)**2
Factor 0 + 2/5*m**2 + 38/5*m.
2*m*(m + 19)/5
Let n = 57 - 26. Let u = 34 - n. Let j(z) = z**4 - z**2 + z. Let x(m) = -3*m**4 + 2*m**2 - 2*m. Let k(v) = u*x(v) + 6*j(v). Solve k(t) = 0 for t.
0
Let m(t) be the first derivative of -t**6/50 + t**4/10 - 3*t**2/10 + 4*t + 1. Let f(w) be the first derivative of m(w). Find d such that f(d) = 0.
-1, 1
Suppose 11 = 5*x - 2*w - 4, -5*w = -x + 3. Factor 4*p**2 - 2 + 7*p**3 - 14*p**3 - 2 + p + 6*p**x.
-(p - 4)*(p - 1)*(p + 1)
Let d(z) = -3*z**2 + 19*z - 4. Let c be d(6). Let p(u) be the first derivative of -c + 1/40*u**5 + 1/4*u**3 + 1/8*u + 1/4*u**2 + 1/8*u**4. Factor p(m).
(m + 1)**4/8
Factor -7*f + 5*f**3 + f**4 + 7*f - 5*f + 6 - 7*f**2.
(f - 1)**2*(f + 1)*(f + 6)
Let i(u) be the second derivative of u**4/6 + 7*u**3/3 + 1