/4*q**2 = 0 for q.
-26, -13
Let h(t) be the first derivative of 4*t**5/5 + 11*t**4/2 + 44*t**3/3 + 19*t**2 + 12*t - 2338. Let h(f) = 0. Calculate f.
-2, -3/2, -1
Let -964*c - 610203*c**2 - 3 - 786*c - 956*c = 0. Calculate c.
-1/451
Solve -2241*n**2 - 1875 + 4420*n**2 - 2176*n**2 = 0.
-25, 25
Let q(r) be the first derivative of r**6/27 + 4*r**5/15 - r**4/9 - 32*r**3/9 - 71*r**2/9 - 20*r/3 + 5194. Suppose q(t) = 0. Calculate t.
-5, -2, -1, 3
Let 72/5 + 1/5*c**4 + 4*c**3 - 122/5*c + 29/5*c**2 = 0. Calculate c.
-18, -4, 1
Let f = -14 - -17. Factor -s + 51*s**3 - 4*s + 50*s**f - 96*s**3.
5*s*(s - 1)*(s + 1)
Let 1160*l**2 + 3*l**5 + 340*l**2 + 15790*l**3 + 174*l**4 - 16711*l**3 - 756*l = 0. What is l?
-63, 0, 1, 2
Let m(r) = 4*r**3 + 22*r**2 + 44*r + 14. Let p(d) be the first derivative of d**4 + 23*d**3/3 + 22*d**2 + 15*d + 9. Let g(k) = -5*m(k) + 6*p(k). Factor g(t).
4*(t + 1)**2*(t + 5)
Let t(o) be the third derivative of 80/21*o**3 + 12*o**2 + 2/7*o**4 - 1/70*o**5 - 1/420*o**6 + 0*o + 9. Factor t(q).
-2*(q - 5)*(q + 4)**2/7
Let q(j) = j**2 - 16*j - 7. Let k be q(-4). Factor 4*w**3 - 8*w**3 + 61 - 28*w - 20*w**2 - k.
-4*(w + 1)**2*(w + 3)
Let g(y) be the first derivative of -1/9*y**3 - 1156/3*y - 34/3*y**2 + 90. Suppose g(v) = 0. What is v?
-34
Factor -5170*t**3 - 19668*t + 6142*t**3 + 79707 + 3*t**4 + 77754*t**2 - 138768*t.
3*(t - 1)**2*(t + 163)**2
Let t(f) be the first derivative of -5*f**4/4 - 2290*f**3/3 - 262205*f**2/2 - 4022. Factor t(z).
-5*z*(z + 229)**2
Solve -36/7*r**2 + 1/7*r**4 + 4/7*r + 9/7*r**3 + 48/7 = 0.
-12, -1, 2
Let j(k) = -46*k + 273. Let b be j(6). Let n be (-5)/b - 21/(-63). Factor 0 + 0*q + 3/2*q**3 + 3/2*q**n.
3*q**2*(q + 1)/2
Determine b so that -6 - 1/2*b**5 + 3/2*b**4 - 27/2*b**2 + 16*b + 5/2*b**3 = 0.
-3, 1, 2
Let x(z) = 49*z - 150. Let p be x(3). Let f be (p + 3)/((-11)/((-121)/(-33))). Factor f - 9/2*r + 3/2*r**4 - 15/2*r**2 - 3/2*r**3.
3*r*(r - 3)*(r + 1)**2/2
Determine t so that -28/5*t**2 - 296/5*t + 132/5 = 0.
-11, 3/7
Let n(s) be the second derivative of s**7/21 - 10*s**6/3 + 125*s**5/2 + 1250*s**4/3 - 50000*s**3/3 - 200000*s**2 + 69*s - 1. What is y in n(y) = 0?
-5, 20
Let u be 11/((-198)/30)*-3. Let v(q) be the third derivative of 0*q + 0 - 36*q**2 - 5/12*q**4 + 0*q**3 - 1/30*q**u. Suppose v(r) = 0. Calculate r.
-5, 0
Let n(w) = w**2 + 12*w + 40. Let f be n(-6). Find p such that -4 - 648*p**5 + 2538*p**3 - 972*p**f - 725*p**2 + 67*p - 6 + 101*p - 352*p**2 + 1 = 0.
-3, 1/6, 1
Let k(f) be the second derivative of 3/20*f**5 + 0*f**2 + 2*f + 1/4*f**4 - f**3 + 30. Factor k(v).
3*v*(v - 1)*(v + 2)
Let y(d) be the first derivative of d**3/6 - 19*d**2/2 - 39*d/2 + 1420. What is o in y(o) = 0?
-1, 39
Let q(p) be the first derivative of 25*p**6/6 + 143*p**5 - 5315*p**4/4 + 9785*p**3/3 - 3305*p**2 + 1400*p - 1699. Solve q(a) = 0 for a.
-35, 2/5, 1, 4
Let z(f) = 2*f**2 - 11*f - 5. Let s(a) = -a**2 + 5*a + 2. Let l be 7/1 + -15 + 22. Let i = 22 - 16. Let x(n) = i*z(n) + l*s(n). Solve x(b) = 0 for b.
1
Suppose -m - 40 = -5*j, 19*m + 146 = 16*m + 2*j. Let q = m + 55. Factor -2 + q*s - 416*s**3 - 5*s**2 + 5*s**4 + 2 + 411*s**3.
5*s*(s - 1)**2*(s + 1)
Let q(g) be the first derivative of -4*g**5/5 - 9*g**4 - 92*g**3/3 - 30*g**2 - 1383. What is j in q(j) = 0?
-5, -3, -1, 0
Suppose -60*n - 16380 = -40*n. Let k be 32/18 + 7/(n/(-26)). Solve -4/7*w**k - 8/7*w + 0 + 12/7*w**3 = 0.
-2/3, 0, 1
Factor 0*w + 0 - 226/9*w**2 + 2/9*w**3.
2*w**2*(w - 113)/9
Let c = -304287/70 + 4347. Let u(g) be the second derivative of 0 - 12*g + 0*g**2 + 2/21*g**3 + 1/105*g**6 + c*g**5 - 1/147*g**7 - 5/42*g**4. Factor u(b).
-2*b*(b - 1)**3*(b + 2)/7
Let q = -48/11 + 4955/1133. Let i = 725/412 - q. What is g in i - 3/2*g - 1/4*g**2 = 0?
-7, 1
Factor 15/4*l**3 + 3/8 + 9/8*l**4 + 9/4*l + 9/2*l**2.
3*(l + 1)**3*(3*l + 1)/8
Suppose -2*c + 2*g - 3 = -19, -3*g - 24 = -c. Let q(t) be the first derivative of 26 + 0*t + c*t**2 + 1/4*t**3. Factor q(l).
3*l**2/4
Let y(m) be the first derivative of -m**5/5 + 3*m**4/4 + m**3 - 7*m**2/2 - 6*m + 1219. Determine x so that y(x) = 0.
-1, 2, 3
Find l, given that 9*l**4 - 843*l + 564 + 3369/2*l**3 - 2829/2*l**2 = 0.
-188, -2/3, 1/2, 1
Let s = 701393/24 + -233775/8. Factor 17/6*u**2 - 7/6*u**3 + 1/6*u**4 + 1 - s*u.
(u - 3)*(u - 2)*(u - 1)**2/6
Let p = -276575 - -276575. Find l such that p*l - 4/9*l**3 + 0 - 2/9*l**4 - 2/9*l**2 = 0.
-1, 0
Let r(d) be the third derivative of d**7/2520 - 13*d**6/270 + 169*d**5/90 - 16*d**3/3 - 191*d**2. Let s(i) be the first derivative of r(i). Factor s(a).
a*(a - 26)**2/3
Let t = 193666/3 + -64555. Let -5/3*p**2 - 7/3*p**4 + 4 - t*p**5 + 16/3*p - 5*p**3 = 0. What is p?
-3, -2, -1, 1
Let m(s) be the second derivative of -s**6/6 - 21*s**5/4 - 35*s**4 - 160*s**3/3 - 1868*s. Determine w so that m(w) = 0.
-16, -4, -1, 0
Let d(m) = 11*m**3 - 20*m**2 - 5*m + 2. Let n be (4/(-7) - 0)/((-68)/238). Let t be d(n). Factor 0 - 2/3*q**3 - 8/3*q**5 - 8/3*q**4 + t*q**2 + 0*q.
-2*q**3*(2*q + 1)**2/3
Let t(w) be the third derivative of -w**7/105 - 29*w**6/60 - 101*w**5/10 - 441*w**4/4 - 648*w**3 + 3286*w**2. Factor t(n).
-2*(n + 3)*(n + 8)*(n + 9)**2
Let o(p) be the first derivative of 95*p**3/3 + 143*p**2 + 3*p - 10423. Solve o(u) = 0.
-3, -1/95
Let m(q) be the first derivative of 35*q**3/6 + 55*q**2/2 + 15*q/2 - 500. Determine r so that m(r) = 0.
-3, -1/7
Let n = -13661/144 + 854/9. Let a(p) be the third derivative of 0 - 7/240*p**5 - 25*p**2 + n*p**4 + 1/240*p**6 + 0*p + 0*p**3 + 1/280*p**7. Factor a(c).
c*(c - 1)*(c + 2)*(3*c - 1)/4
Let x(f) be the first derivative of -f**3/3 + 83*f**2/2 + 630*f + 6896. What is z in x(z) = 0?
-7, 90
Let l(z) = -3*z**2 - 12*z**3 - 159 + 17*z**3 + 93*z - z**3. Let m(k) = -18*k**3 + 16*k**2 - 464*k + 796. Let c(g) = 14*l(g) + 3*m(g). Factor c(w).
2*(w - 3)**2*(w + 9)
Solve 407/5*q**3 + 12/5*q + 49/5*q**5 - 623/5*q**4 + 31*q**2 + 0 = 0 for q.
-1/7, 0, 1, 12
Determine j so that -65*j**3 - 5*j**4 + 1200 + 60*j**2 + 1249*j - 269*j - 13*j**3 + 3*j**3 = 0.
-15, -2, 4
Let h(t) = 15*t + 17. Let x be h(-1). Suppose 16 + x + 26*o**2 + 3*o**4 + 25*o**2 + 51*o + 790*o**3 - 769*o**3 = 0. Calculate o.
-3, -2, -1
Factor 1/6*p**2 + 5/2*p - 9.
(p - 3)*(p + 18)/6
Suppose 0 = 8*l - 5*l + 2*y + 858, -2*y - 282 = l. Let m be ((l/39)/(-2))/(24/16). Factor -m + 16/13*s - 2/13*s**2.
-2*(s - 4)**2/13
Let c(b) = -2*b**3 - 3*b**2 + 723*b - 697. Let w(p) = 5*p**3 + 10*p**2 - 1445*p + 1395. Let r(d) = -5*c(d) - 3*w(d). Factor r(t).
-5*(t - 10)*(t - 1)*(t + 14)
Factor 40*s**2 - 10*s**3 + 20*s**3 + s**5 + 3*s**3 - 21*s**4 - 9*s**3 + 14*s**3.
s**2*(s - 20)*(s - 2)*(s + 1)
What is d in -57 + 189 + 11*d**2 - 170 - 207*d = 0?
-2/11, 19
Factor -148*m + 7*m + 408*m**2 + 5*m**3 + 16*m - 408*m**2.
5*m*(m - 5)*(m + 5)
Suppose 2*s - o - 140 = -5*o, 0 = 4*o - 8. Suppose 71*q - 77*q = -12. Factor 136 - s - 3*b**q - 67.
-3*(b - 1)*(b + 1)
Let f(q) be the second derivative of -q**6/10 - 9*q**5/20 + 3*q**4/2 + 14*q**3 + 36*q**2 + 10*q - 45. Factor f(j).
-3*(j - 3)*(j + 2)**3
Let z(c) = 28*c**4 - 14*c**3 + 332*c**2 - 936*c + 650. Let r(i) = -3*i**4 - i**3 - 2. Let v(s) = -10*r(s) - z(s). Solve v(w) = 0.
-21, 1, 3, 5
Let x(l) be the second derivative of l**4/36 - 2*l**3/9 - 39*l**2/2 - 2477*l. Solve x(r) = 0 for r.
-9, 13
Let s(c) = 35*c**2 - 1299*c - 1176. Let f be s(38). Factor 2/3*k**f - 2/9*k**4 + 0 + 0*k + 4/9*k**3.
-2*k**2*(k - 3)*(k + 1)/9
Let w(h) be the second derivative of -h**5/2 - 107*h**4/6 - 164*h**3 - 180*h**2 + 478*h. Factor w(n).
-2*(n + 6)*(n + 15)*(5*n + 2)
Suppose 72 = 7*g - g. Let o be ((-525)/(-315))/(10/g). Suppose 0 - 3/5*i**4 - 3/5*i**3 + 3/5*i + 3/5*i**o = 0. What is i?
-1, 0, 1
Let x(o) = 15*o**3 + 115*o**2 - 5*o + 10. Let j(v) = 23*v**3 + 172*v**2 - 8*v + 16. Let z = -48 + 40. Let q(b) = z*x(b) + 5*j(b). Factor q(k).
-5*k**2*(k + 12)
Factor 565/3*i**4 + 0 - 188*i**3 + 0*i + 0*i**2 - 1/3*i**5.
-i**3*(i - 564)*(i - 1)/3
Suppose -49*n + 50*n = 4*j, -5 = -3*j - 2. Suppose -b = 2*k + 5, 3*k + 5 + 1 = -2*b. Find o such that 501*o - 501*o - 5*o**n - 45*o**2 + 30*o**b = 0.
0, 3
Let k(j) be the third derivative of j**8/336 - j**7/35 + 9*j**5/10 - 27*j**4/8 - 7*j**2 + 43*j + 6. Let k(b) = 0. What is b?
-3, 0, 3
Let h(j) be the first derivative of -j**3/3 - 49*j**2/4 + 39*j + 980. Determine m so that h(