 the third derivative of -b**6/120 + 2*b**5/15 - 5*b**4/24 - 7*b**3/3 + 624*b**2. Factor c(p).
-(p - 7)*(p - 2)*(p + 1)
Let d(z) = -11*z**2 - 20*z - 6. Let k(q) = -q**3 + 5*q**2 - 2*q. Let u be k(1). Let j(x) = -5 + 13*x**u - 14*x**2 + 4. Let v(s) = -d(s) + 6*j(s). Factor v(b).
5*b*(b + 4)
Let l(z) be the second derivative of -z**5/60 - z**4/36 - 1196*z. Suppose l(h) = 0. What is h?
-1, 0
Let r(z) = z**4 - 14*z**3 + 15*z**2 + 50*z - 38. Let t(k) = 6*k**4 - 71*k**3 + 74*k**2 + 251*k - 183. Let u(c) = -22*r(c) + 4*t(c). Let u(d) = 0. Calculate d.
-13, -2, 1, 2
Factor -543106*p - 3*p**2 + 542983*p - 77 - 43.
-3*(p + 1)*(p + 40)
Let r(b) be the second derivative of -8/3*b**4 + 2 - 38*b - 38/3*b**3 - 1/5*b**5 - 24*b**2. Solve r(f) = 0 for f.
-4, -3, -1
Factor -47*z - 10*z**2 + 40*z + 36 + 29*z**3 - 61*z**3 + 34*z + 31*z**3.
-(z - 3)*(z + 1)*(z + 12)
Let d(z) be the second derivative of -z**5/20 - 3*z**4/4 - 9*z**3/2 - 127*z**2 - 5*z + 38. Let x(c) be the first derivative of d(c). Factor x(o).
-3*(o + 3)**2
Let r(c) be the third derivative of -3*c**6/10 - 112*c**5/15 - 38*c**4 - 160*c**3/3 + 11883*c**2. Factor r(d).
-4*(d + 2)*(d + 10)*(9*d + 4)
Suppose 23*b - 314 + 143 + 56 = 0. Factor -5/4*i**2 - 15/2*i**3 + 0 - b*i**5 - 45/4*i**4 + 0*i.
-5*i**2*(i + 1)**2*(4*i + 1)/4
Let r(p) be the third derivative of p**8/112 - 23*p**7/35 + 66*p**6/5 + 23*p**5/10 - 529*p**4/8 + 32*p**2 + 15*p. Find c such that r(c) = 0.
-1, 0, 1, 23
Let r(p) be the second derivative of 25*p - 1/2*p**6 + 4 + 0*p**4 + 0*p**3 + 0*p**2 - 5/42*p**7 - 1/2*p**5. Solve r(n) = 0 for n.
-2, -1, 0
Suppose 157*q - 156*q + 28 = 6*r, -2*q + 29 = 5*r. Find i such that -4/9*i**q + 2/9*i + 0 + 2/9*i**3 = 0.
0, 1
Let n(y) be the first derivative of -5*y**4/24 + 20*y**3/9 + 55*y**2/4 + 1405. Suppose n(r) = 0. Calculate r.
-3, 0, 11
Let u = -40 - -40. Suppose 2*x + u = 4. Find k, given that -9*k**x - 4*k**4 + 11*k**2 + 2*k**4 = 0.
-1, 0, 1
Let v(b) be the third derivative of -2*b - 134*b**2 - 2/105*b**6 + 0 - 1/1176*b**8 + 0*b**4 + 0*b**3 - 2/105*b**5 - 1/147*b**7. Factor v(x).
-2*x**2*(x + 1)*(x + 2)**2/7
Let k(o) be the third derivative of 62*o**2 - 1/160*o**5 + 1/4*o**4 + 0*o - 4*o**3 + 0. Factor k(q).
-3*(q - 8)**2/8
Factor 42 + 585/7*k - 3/7*k**3 + 288/7*k**2.
-3*(k - 98)*(k + 1)**2/7
Let v(m) be the second derivative of -m**5/360 - m**4/72 + 24*m**2 - 121*m. Let y(d) be the first derivative of v(d). Suppose y(t) = 0. What is t?
-2, 0
Let s = -329 + 329. Suppose -a - 3*r + 14 = s, 24 = 4*a - 4*r + 8*r. Factor -1/6*q**a + 2/3*q - 1/2.
-(q - 3)*(q - 1)/6
Let u(s) be the first derivative of -5*s**3/3 + 115*s**2/2 - 380*s + 301. Factor u(a).
-5*(a - 19)*(a - 4)
Let t(w) be the second derivative of w**4/30 - 296*w**3 + 985680*w**2 - 161*w - 4. Suppose t(s) = 0. What is s?
2220
Let l = -55 + 59. Suppose -p - j = -2, -2*p - j + 3*j = -l. Factor x - 5 - 2*x**3 + 2 + 2*x**p - x**4 + x + 2*x**2.
-(x - 1)**2*(x + 1)*(x + 3)
Let r(x) be the second derivative of -x**7/504 + 19*x**6/144 + 5*x**5/6 + 69*x**4/4 + 309*x. Let h(v) be the third derivative of r(v). Factor h(s).
-5*(s - 20)*(s + 1)
Let o(m) = -35*m**2 - 4*m - 3. Let l(a) = -297*a**2 - 31*a - 23. Let f(g) = -2*l(g) + 17*o(g). Determine v, given that f(v) = 0.
-5, -1
Let o(i) = i**3 + 27*i**2 - 383*i - 3659. Let n be o(-7). Factor 0 + 0*l**n - 8/3*l + 2/3*l**3.
2*l*(l - 2)*(l + 2)/3
Solve -3321/8*j**2 - 28795/8*j + 123/8*j**3 - 1/8*j**4 - 12675/4 = 0 for j.
-6, -1, 65
Let r be 69 + -4*(0 + (-18)/(-24)). Factor 31*a**2 - r*a**3 - 24*a**3 - 39*a**4 + 21*a**2 - 4*a**5 - 27*a**2.
-a**2*(a + 5)**2*(4*a - 1)
Let t(v) be the first derivative of -2*v**3/3 - 2*v**2 + 160*v + 857. Suppose t(a) = 0. Calculate a.
-10, 8
Let k(w) be the second derivative of -5/12*w**4 + 185/2*w**2 + 44 - 2*w - 30*w**3. Factor k(q).
-5*(q - 1)*(q + 37)
Find f such that -4 + 1003*f**2 - 1431*f**2 + 363*f - 143*f + 212*f**3 = 0.
1/53, 1
Let n(t) be the first derivative of -2*t**3/9 + 2*t**2/3 + 10*t - 939. Factor n(k).
-2*(k - 5)*(k + 3)/3
Suppose 23*m - 287 = -18*m. Let k(r) be the third derivative of 0 - 1/4*r**5 + 1/8*r**6 - 6*r**2 + 0*r**3 - 1/42*r**m + 5/24*r**4 + 0*r. Factor k(x).
-5*x*(x - 1)**3
Determine g so that -70/13*g**2 - 34/13*g**4 + 112/13*g + 8 - 2/13*g**5 - 110/13*g**3 = 0.
-13, -2, -1, 1
Suppose -3*v - 5*j = -1432, 3*j + 2786 = 5*v + 354. Let o = v - 482. Suppose 0 + 4/11*x**4 - 32/11*x**o - 8/11*x + 10/11*x**5 - 30/11*x**3 = 0. What is x?
-1, -2/5, 0, 2
Suppose -62 + 286 = 8*u. Determine c, given that u*c**4 - 61*c + 66*c**3 + c + 322*c**2 + 17*c**4 - 122*c**2 + 239*c**3 = 0.
-6, -1, 0, 2/9
Let l(o) = -95926*o + 383708. Let k be l(4). Let -n**2 - 1/8*n**5 + 0 - 3/4*n**3 + n**k + 7/8*n = 0. What is n?
-1, 0, 1, 7
Let m(o) be the first derivative of -o**5/20 - 15*o**4/16 - 13*o**3/12 + 15*o**2/8 + 7*o/2 + 732. Factor m(x).
-(x - 1)*(x + 1)**2*(x + 14)/4
Solve 168 - 3798*o**3 + 4*o**5 + 11351*o**3 - 3783*o**3 + 340*o - 24*o**4 + 144*o**2 - 3826*o**3 = 0 for o.
-2, -1, 3, 7
Let s(a) = 31*a**2 + 168*a - 816. Let m(b) = 2*b**2 + 4*b - 3. Let w(n) = 16*m(n) - s(n). Determine h, given that w(h) = 0.
8, 96
Let m(b) = 64*b**3 + 102*b**2 - 16*b. Let g(n) = -13*n**3 - 20*n**2 + 3*n. Let q(l) = -16*g(l) - 3*m(l). Factor q(c).
2*c**2*(8*c + 7)
Let b(i) = -i**4 - i**2 + i - 1. Let u be (0 - -2 - 0)*(-25)/(-50). Let a(c) = 9*c**4 + 20*c**3 + 34*c**2 + 16*c + 9. Let g(j) = u*a(j) + 4*b(j). Factor g(r).
5*(r + 1)**4
Let w(d) be the second derivative of -d**6/1440 + d**5/16 - 75*d**4/32 - 7*d**3/3 - 11*d + 3. Let l(x) be the second derivative of w(x). Factor l(b).
-(b - 15)**2/4
Find l, given that 1098/11*l + 6/11*l**2 + 0 = 0.
-183, 0
Let i(a) be the second derivative of -32*a**7/21 + 112*a**6/15 - 73*a**5/5 + 14*a**4 - 6*a**3 - 4128*a. Find f such that i(f) = 0.
0, 3/4, 1
Let n(w) be the second derivative of w**6/192 - 7*w**5/320 + w**4/32 + w**3/3 - 2*w + 1. Let a(g) be the second derivative of n(g). Factor a(b).
3*(b - 1)*(5*b - 2)/8
Solve -87/5 + 3/5*q**3 + 177/5*q - 93/5*q**2 = 0 for q.
1, 29
Let p(l) = -l**4 + l**3 + l**2 - l - 1. Let z(s) = 526*s**3 - 392*s**3 - 1988 + 7788*s + 1788*s**2 + 5456 + 16*s**4. Let a(i) = 12*p(i) + z(i). Factor a(f).
2*(f + 12)**3*(2*f + 1)
Determine f so that 28*f**3 + 24/7 + 48*f**2 + 164/7*f = 0.
-1, -3/7, -2/7
Let g = 467014/15 - 31134. Let j = 956/45 - 190/9. Determine k, given that 2/5*k - g - j*k**2 = 0.
1, 2
Let l(q) be the first derivative of 3*q**5/80 + q**4/2 - 19*q**3/8 + 15*q**2/4 - 166*q + 258. Let t(a) be the first derivative of l(a). Factor t(x).
3*(x - 1)**2*(x + 10)/4
Let k(n) be the first derivative of 401408*n**3/3 + 2688*n**2 + 18*n - 250. Suppose k(o) = 0. What is o?
-3/448
Let d = 1293971671/3025869 + -5/275079. Suppose -1024/11*j - 686/11*j**4 - 336*j**2 - d*j**3 - 96/11 = 0. What is j?
-6, -2/7
Let x(n) be the first derivative of 2*n**3/21 + 5*n**2 - 148*n/7 - 1088. Solve x(t) = 0.
-37, 2
Let j = 1278/161 - -42/253. Let t = -86/11 + j. Factor -2/7*q**2 + t*q**5 + 2/7*q**4 - 2/7*q**3 + 0 + 0*q.
2*q**2*(q - 1)*(q + 1)**2/7
Suppose -15*x + 440 = 365. Let w(j) be the second derivative of -4*j + 0 + 1/4*j**x + 5/6*j**4 + 0*j**2 + 0*j**3. Factor w(k).
5*k**2*(k + 2)
Let n be (-26 - -10)/(-4) - 2. Suppose 0*f = -f + 3*k + 18, n*f + 3*k + 9 = 0. Find i such that -4/3 - 1/3*i**f - 2/3*i**2 + 7/3*i = 0.
-4, 1
Let h be (-4885)/28 - (-8 + 231/28). Let m = h - -175. Solve -1/7*d**5 - 2/7*d**2 + 1/7*d**3 + 0*d + 0 + m*d**4 = 0.
-1, 0, 1, 2
Let b(z) = 45*z**2 - 1168*z + 345756. Let y(s) = -11*s**2 - 2*s - 3. Let w(k) = -b(k) - 4*y(k). Factor w(o).
-(o - 588)**2
Let s be (-4 - (-5 - 0)) + 2 + 1. Factor -5*q**s + 30*q**2 - 44*q**2 + 19*q**2.
-5*q**2*(q - 1)*(q + 1)
Suppose 0 = -3*q - h + 100, 3*h + 85 = 2*q - 0*h. Suppose -2*i = q*i - 148. Factor -4/3*k**2 + 0*k + 2/3*k**i + 0 + 2/3*k**3.
2*k**2*(k - 1)*(k + 2)/3
Let i be (3 + -7 - -3)/((-1)/131). Let d be i/20 - 2 - (-228)/(-285). Determine s so that 24*s - d*s**2 - 9 = 0.
2/5, 6
Let n = -3134/133 - -30334/1197. Factor -80/3*w**2 + n*w + 680/3*w**4 + 1156/9*w**5 + 628/9*w**3 + 0.
4*w*(w + 1)**2*(17*w - 2)**2/9
Let q(k) = 2*k**3 - 65*k**2 + 504*k - 80. Let z be q(20). Determine s, given that -8/5*s**2 + 0*s**3 + 2/5*s**4 + 0*s + z = 0.
-2, 0, 2
Let r(o) = 2*o**2 + 8*o - 22. Let u b