o + 13*d**2 + 0*d - 1/15*d**5 - 5/8*d**4. Factor z(h).
-(h + 4)*(4*h - 1)
Let q(i) be the third derivative of 0 + 11/8*i**4 - 45*i**2 + 1/120*i**6 + 3/10*i**5 + 8/3*i**3 + 0*i. Find b, given that q(b) = 0.
-16, -1
Let c(n) = 4*n**3 - 28*n**2 - 10*n + 40. Let j(v) = 5*v**3 - 55*v**2 - 20*v + 80. Let i(g) = 5*c(g) - 3*j(g). Suppose i(p) = 0. What is p?
-4, -2, 1
Let f(m) be the first derivative of 2*m**3/51 + 19*m**2/17 - 184*m/17 - 3489. Solve f(b) = 0 for b.
-23, 4
Let p be ((28785/40)/(-19))/((-945)/4). Let w = p + 2/315. Solve 0 + 0*l**2 + 0*l - w*l**3 + 1/3*l**4 - 1/6*l**5 = 0.
0, 1
Let f = -36 + 40. Suppose -f = -2*b + 6*b - 5*q, -2*q + 16 = 2*b. Let 15*n**b + 752*n**3 - 717*n**3 - 23*n + 3*n = 0. What is n?
-2, -1, 0, 2/3
Let u(l) be the second derivative of 0*l**2 + 1/36*l**4 + 0 - 1/3*l**3 + 24*l. Factor u(t).
t*(t - 6)/3
Let p = 140858/9 + -15650. Let 0*j**3 + 8/9*j**2 - p*j**4 + 0 + 4/9*j - 4/9*j**5 = 0. Calculate j.
-1, 0, 1
Let m(p) be the first derivative of -3*p**5/5 + 33*p**4/4 + 1882*p**3 + 36366*p**2 - 78408*p + 3155. Suppose m(j) = 0. What is j?
-22, 1, 54
Let r be 4/6*(-11 - -14) - ((-2232)/27)/31. Let -46/9*d**3 - r*d + 0 - 86/9*d**2 - 2/9*d**4 = 0. Calculate d.
-21, -1, 0
Suppose 0 = -9*o + 4*o + j + 27, 0 = 4*o - 5*j - 30. Let -50*m**2 - 38 - 333*m**3 + 2*m**o + 80*m + 323*m**3 + 10*m**4 + 6 = 0. What is m?
-4, 1
Let n be ((-36)/(-84))/(-1 - (-30)/14). Let k = 487 + -487. Factor 3/8*p**4 + n*p**3 + 0 - 3/4*p**2 + k*p.
3*p**2*(p - 1)*(p + 2)/8
Let m(a) be the first derivative of 40/3*a**3 + 2*a**4 - 47 - 2*a**2 - 20*a - 2/3*a**6 - 4*a**5. Let m(l) = 0. Calculate l.
-5, -1, 1
Let m(j) = 3*j**2. Let r be (-6)/4*6/(-9). Let a be m(r). Find x such that -x**3 + 6*x**2 + 4*x**4 - 3*x**a + 0*x**2 - 10*x**2 + 4*x**5 = 0.
-1, 0, 1
Solve 16/7*i - 10/7*i**4 - 15/7*i**3 + 0 - 1/7*i**5 + 10/7*i**2 = 0 for i.
-8, -2, -1, 0, 1
Let v(p) be the first derivative of 2*p**3/27 + 116*p**2/9 - 488*p/3 + 2238. Find d such that v(d) = 0.
-122, 6
Let z(k) be the first derivative of k**6/10 + 3*k**5/20 - 3*k**4/2 - 2*k**3 + 12*k**2 - 116*k - 58. Let p(u) be the first derivative of z(u). Factor p(j).
3*(j - 2)*(j - 1)*(j + 2)**2
Let l(x) = x**2 + 11*x + 26. Let f be l(21). Let m = -696 + f. Let -2/15*r**m + 8/5*r - 24/5 = 0. What is r?
6
Let r(p) be the second derivative of -p**4/3 + 5672*p**3/3 - 4021448*p**2 - 5120*p. Let r(a) = 0. Calculate a.
1418
Let p(v) be the first derivative of 4*v**5/5 + 40*v**4 + 728*v**3/3 + 496*v**2 + 420*v + 2483. Factor p(a).
4*(a + 1)**2*(a + 3)*(a + 35)
Let k(t) be the second derivative of -6/5*t**5 + 0 + 10/3*t**4 + 0*t**2 + 0*t**3 + 1/15*t**6 - 96*t. Find a, given that k(a) = 0.
0, 2, 10
Let n(v) be the second derivative of v**5/5 + 22*v**4/3 + 130*v**3/3 - 1352*v**2 - 569*v. Factor n(l).
4*(l - 4)*(l + 13)**2
Let k be (-7)/(-30)*113856/4151. Factor 124/5*f - 4/5*f**3 + 88/5 + k*f**2.
-4*(f - 11)*(f + 1)*(f + 2)/5
Suppose 0 = -2*x + 2*w - 2, 5*x + 9 - 11 = -2*w. Suppose 2*s - k - 4 = x, -2*k + 1 = -s - 0. Factor 6*q - 2 - q**s - 2 + 0 - q**3.
-2*(q - 1)**2*(q + 2)
Let z(g) be the third derivative of g**5/60 - g**4/4 - 91*g**3/6 - 1406*g**2. Solve z(q) = 0.
-7, 13
Let b be 10/12*(21056/(-560) - -38). Find o, given that 0 - o**4 + 1/3*o**5 - b*o**2 + o**3 + 0*o = 0.
0, 1
Solve -1/4*s**3 - 5/4*s**2 + 0*s + 0 = 0 for s.
-5, 0
Suppose 0 - 13 = -w. Suppose 0 = 12*h + w*h + 16*h. Factor h + 0*m - 3/4*m**2.
-3*m**2/4
Let x(z) be the first derivative of 24*z - 2/3*z**3 + 44 + 4*z**2. Determine n, given that x(n) = 0.
-2, 6
Let l(b) = b**2 + 7*b - 16. Let a be l(-9). Determine g so that -328*g + 57*g**4 + 31*g - 243 + 6*g**5 + 294*g**3 - 5*g**5 + a*g**5 + 186*g**2 = 0.
-9, -1, 1
Let j(q) be the third derivative of 0*q - 1/540*q**6 - 11/27*q**3 - 1/30*q**5 + 0 + 7/36*q**4 + 24*q**2. Factor j(y).
-2*(y - 1)**2*(y + 11)/9
Let i(f) be the first derivative of -31 - f**4 + 0*f**2 + 7/5*f**5 + 0*f - 1/3*f**6 - 4/3*f**3. Factor i(z).
-z**2*(z - 2)**2*(2*z + 1)
Let m(q) be the third derivative of -87*q**2 + 7/60*q**4 - 4/15*q**3 + 0 + 0*q - 1/300*q**6 - 1/75*q**5. Find u such that m(u) = 0.
-4, 1
Let r(b) be the third derivative of 4400*b**7/63 + 570*b**6 + 982*b**5/3 + 1451*b**4/18 + 32*b**3/3 - 2070*b**2. Factor r(f).
4*(10*f + 1)**3*(11*f + 48)/3
Let s(d) be the first derivative of d**5/20 - 13*d**4/8 + 6*d**3 - 57*d**2 - 115. Let k(z) be the second derivative of s(z). Solve k(m) = 0 for m.
1, 12
Let o(k) be the second derivative of -5*k**6/6 + 95*k**5/2 - 1567*k**4/4 + 876*k**3 + 1458*k**2 - 24*k + 37. Find x, given that o(x) = 0.
-2/5, 3, 162/5
Suppose -2962 + 674 = -11*q. Let c = q - 208. Factor 1/3*t**3 + 0 + c*t + 5/3*t**4 + 0*t**2.
t**3*(5*t + 1)/3
Let h = -3 + 6. Suppose -5*g + 0*g - h*q = -40, -4*q + 20 = 0. Find y such that 9*y**2 - 7*y - 6 + 12 + y**4 - 4 - g*y**3 = 0.
1, 2
Let i = 149 - 149. Suppose 3*p + 3*p - 12 = i. Solve -192/7*t**p - 512/7 - 2/7*t**4 - 32/7*t**3 - 512/7*t = 0.
-4
Solve 2/3*p**2 + 130 + 392/3*p = 0 for p.
-195, -1
Let o(i) be the first derivative of 9*i**4/4 - 28*i**3 - 93*i**2/2 + 1124. Factor o(y).
3*y*(y + 1)*(3*y - 31)
Factor 5415 + 1198*p**3 - 1203*p**3 + 271*p**2 - 66*p**2 - 2375*p.
-5*(p - 19)**2*(p - 3)
Suppose 13 = 2*d + t, -2*d + 27 = d + 3*t. Let u be 10/3*(26/d + -5). Suppose -812 + 53*p + 47*p + 312 - u*p**2 = 0. What is p?
10
Let s be 3*(-133)/(-171) + (-70)/30. Suppose -23*w = -26*w. Factor -3/2*q**3 - 1/2*q**4 + w + 2*q + s*q**2.
-q*(q - 1)*(q + 2)**2/2
Let o = -373 - -710. Factor 165*v**2 - 398 + 76*v + o - 661 - 167*v**2.
-2*(v - 19)**2
Find u, given that 5*u**2 - 6*u - 178 - 8*u - 32 + 30*u - 11*u = 0.
-7, 6
Let u = 554272/3 + -184757. Factor u*g**2 + 0*g - 1/3.
(g - 1)*(g + 1)/3
Suppose -3*u - 4*j = -19, 3*j = -2*u + 2*j + 21. Factor -42*v**3 - 8*v**4 - 9*v**2 + u*v**2 + 44*v**3 - 6*v**5.
-2*v**2*(v + 1)**2*(3*v - 2)
Let x(c) be the first derivative of -c**6/18 + 16*c**5/15 - 13*c**4/12 - 10*c**3/3 + 2106. Solve x(n) = 0.
-1, 0, 2, 15
Let j be (21/(-6) + 0 + -1)/((-771)/514). Let g(h) be the second derivative of 0*h**2 - 8*h - 1/18*h**4 + 0*h**j + 1/120*h**5 + 0. Factor g(d).
d**2*(d - 4)/6
Let f(s) = -s**3 - 15*s**2 - 16*s - 10. Let o be f(-14). Suppose 0 = x + 8*x - o. Factor -110*b**2 + 110*b**x + 2*b**5 - 4*b**5 + 2*b**4.
-2*b**4*(b - 1)
Factor -32/21*y - 4/7*y**2 + 2/21*y**3 + 0.
2*y*(y - 8)*(y + 2)/21
Suppose -7 + 6 = -2*h - 5*s, -5*s = -3*h + 14. Factor 6*n**3 - 173*n**3 + 1887*n**2 - 65*n**h - 4*n**4 - 5251*n**2.
-4*n**2*(n + 29)**2
Let c(z) be the first derivative of z**5/30 - 5*z**4/2 - 7*z**3/2 + 61*z**2/6 - 354. Suppose c(x) = 0. What is x?
-2, 0, 1, 61
Let n(z) = -z**2 + 2*z + 56. Let k(c) = -21*c**2 - 2958*c - 137361. Let y(l) = -k(l) + 5*n(l). Factor y(q).
(4*q + 371)**2
Let i(l) be the third derivative of -l**5/180 - 109*l**4/72 + 37*l**3/3 + 4*l**2 + 15*l + 16. Factor i(t).
-(t - 2)*(t + 111)/3
Let y = -45 + 82. Let q = y + -35. Solve 3*z**q - 8*z**2 + 7 + 7 + 5*z - 4 = 0.
-1, 2
Let u(k) be the second derivative of 21/80*k**5 - 11/3*k**3 - 49/48*k**4 + 158*k - 1/168*k**7 + 0 - 9/2*k**2 + 17/120*k**6. Factor u(f).
-(f - 18)*(f - 2)*(f + 1)**3/4
Let t be 3/(-2)*(-232)/6. Let u = t - 54. Factor -43*y + 8*y**3 + 20*y + 23*y - 4*y**u.
-4*y**3*(y - 2)
Let p(v) be the third derivative of -v**6/200 - 4*v**5/5 + 173*v**4/10 - 528*v**3/5 - 2*v**2 + 3099*v + 2. Factor p(y).
-3*(y - 6)*(y - 2)*(y + 88)/5
Find r, given that -1/4*r**2 + 43/2*r - 1849/4 = 0.
43
Let m = -69655 - -69657. Let -4/3*a**3 + 2/3 + 4/3*a**m - 2*a**4 + 2*a - 2/3*a**5 = 0. What is a?
-1, 1
Let c(g) be the third derivative of 0*g + 1 - 12*g**2 + 1/315*g**7 - 1/504*g**8 + 1/60*g**6 - 1/18*g**5 + 1/18*g**4 + 0*g**3. Factor c(p).
-2*p*(p - 1)**3*(p + 2)/3
Let j = 4722 - 4722. Factor -10/7*h**3 + 6/7*h**2 + 2/7*h**5 + 0 + j*h + 2/7*h**4.
2*h**2*(h - 1)**2*(h + 3)/7
Let t be 35/(-20) + (-129)/(-12). Let l be 8/(-45)*93/(-124)*t. Suppose 2/5*u**3 - l*u**2 + 0 + 4/5*u = 0. Calculate u.
0, 1, 2
Let d(v) = -2*v**2 - 3*v - 1. Let o(x) = -4*x**2 - 7*x - 27. Suppose 25 - 3 = -11*q. Let z(t) = q*o(t) + 6*d(t). What is b in z(b) = 0?
-4, 3
Let m(u) be the first derivative of 22*u**2 + 1/300*u**6 + 25 + 0*u**4 - 1/150*u**5 + 0*u + 0*u**3. Let n(o) be the second derivative of m(o). Factor n(y).
2*y**2*(y - 1)/5
Let 