l(c).
(c + 5)*(2*c + 1)
Let f = -1691 - -1683. Let q be 3*(f + (-52)/(-6)). Find x such that 2 - x - 1/2*x**q + 1/4*x**3 = 0.
-2, 2
Suppose 20*u - 50 = -5*u. Factor 14*t + 5*t**u + 12*t + 19*t - 50.
5*(t - 1)*(t + 10)
Let u(o) be the first derivative of -3 + 0*o**2 + 0*o**5 + 0*o**4 + 2/3*o**3 + 0*o + 1/720*o**6. Let t(z) be the third derivative of u(z). Factor t(c).
c**2/2
Suppose 1166*c = 971*c. Let s(i) be the third derivative of c*i**3 - 1/12*i**4 + 1/60*i**5 - i**2 + 0 - 7*i. Factor s(g).
g*(g - 2)
Let j(z) = 10 - 16*z - 1 + 15*z. Let o be j(7). Factor 54 + y**2 - 12*y - 46 + 3*y**o.
4*(y - 2)*(y - 1)
Suppose -22*s + 21 + 155 = 0. Let t be ((-13)/s + 2)/(1/2). What is p in 1/4*p + 0 + t*p**2 = 0?
-1/3, 0
Let a(c) be the second derivative of -1/9*c**6 - 7/15*c**5 - 1/9*c**4 + 7/3*c**2 + 0 + 100*c + 1/63*c**7 + 13/9*c**3. Suppose a(f) = 0. Calculate f.
-1, 1, 7
Let a be 30561/(-5845)*(-14)/3. Let 1/5*c**2 - a*c + 3721/5 = 0. What is c?
61
Let a(c) = -3*c**3 + 2*c**2 - c + 1. Let w(b) = 8*b**3 - 30*b**2 - 116*b + 141. Let m(v) = 3*a(v) + w(v). Determine x so that m(x) = 0.
-16, -9, 1
Suppose 0 = 19*l - 40*l + 1365. Suppose -o = 4*b + 8, l*o + 6 = 69*o - 3*b. Factor 12*h**2 - 3/2*h + o.
3*h*(8*h - 1)/2
Let o(a) be the third derivative of a**7/4620 + a**6/1980 - a**5/165 - a**4/33 - 4*a**3 + 8*a**2 - 3. Let c(m) be the first derivative of o(m). Solve c(l) = 0.
-2, -1, 2
Let b(l) be the first derivative of -89 - 3/8*l**4 - 1/3*l**3 + 1/10*l**5 + 3*l**2 - 4*l. Factor b(d).
(d - 2)**2*(d - 1)*(d + 2)/2
Let y be -3*10*6/63*-1. Let g = -2497 - -17487/7. Factor 2/7*o**3 - g*o**4 + 2/7*o**5 - 16/7 + y*o**2 - 8/7*o.
2*(o - 2)**3*(o + 1)**2/7
Let u(v) = 2*v**3 - 3*v**2 - 14*v + 54. Let m be u(4). Let 26*r + 23*r + 13*r + 8*r + m*r + 2*r**2 + 2738 = 0. What is r?
-37
Let h be ((-2)/(-10))/((-3)/(-45)). Determine a, given that 1297*a - 1441*a + 6*a**4 - 7*a**h + 22 - 86 + a**5 - 92*a**2 = 0.
-4, -1, 4
Determine x so that -112*x**2 - 15*x**5 - 240*x**3 + 272/3*x + 0 - 332/3*x**4 = 0.
-34/9, -2, 0, 2/5
Let v(d) = 2*d**3 + d**2 + 1. Let o be -6*(-7 - -3)/24. Let n(j) = 45*j**3 - 35*j**2 + 175*j - 105. Let c(u) = o*n(u) - 20*v(u). Suppose c(t) = 0. Calculate t.
1, 5
Let v be (-40)/(-5) + -1 + 5. Let r be 48/v - (1 - 2). Factor r*i**2 + 0 - 4 - i**3 - 3 - 3*i - 2.
-(i - 3)**2*(i + 1)
Let z be 5/(-50)*-14 + -1. Let w = 12854 - 12850. Find f, given that w*f + z*f**2 + 10 = 0.
-5
Let a = 939389/403 + -2331. Let q = 1624/1209 + a. Solve 0 + q*h + 4/3*h**2 = 0 for h.
-1, 0
Let d be ((-252)/(-44) + -6)*-29 - 1*(2 - -3). Find q, given that -d*q + 14/11*q**5 + 80/11*q**4 + 0 + 172/11*q**2 - 234/11*q**3 = 0.
-8, 0, 2/7, 1
Let n(i) = -23*i**3 + 2498*i**2 - 103375*i + 8. Let j(l) = 8*l**3 - 833*l**2 + 34460*l - 3. Let p(t) = 8*j(t) + 3*n(t). Determine w, given that p(w) = 0.
0, 83
Let p(l) be the third derivative of -17*l**8/336 + 121*l**7/210 - 269*l**6/120 + 251*l**5/60 - 47*l**4/12 + 4*l**3/3 - 5*l**2 - 35. Find d, given that p(d) = 0.
2/17, 1, 4
Let m(a) = 4*a - 30. Let j be m(10). Factor 13*c**2 + 10 - 18*c**2 + j - 15*c.
-5*(c - 1)*(c + 4)
Let f = -2/131935 + 263892/1451285. Suppose -18/11 + 0*o + f*o**2 = 0. What is o?
-3, 3
Suppose -3*h = -5*w - 25, 3*w + 13769 - 13754 = -3*h. Factor -6/7*s + 3/7*s**3 + h + 3/7*s**2.
3*s*(s - 1)*(s + 2)/7
Suppose 23*f - 3588 + 3519 = 0. Let s(w) be the second derivative of 0 + 22*w - 1/20*w**5 - 1/2*w**4 - 4*w**2 - 2*w**f. Factor s(h).
-(h + 2)**3
Suppose 2*f - 3 = -3*g - 0, -2*g = -5*f - 2. Let i be ((-2)/(-6))/(43 - (-12336)/(-288)). Factor 2/11*x - 2/11*x**i + f.
-2*x*(x - 1)/11
Suppose 851681 - 850061 = 810*m. Factor -3/5*p**m - 24/5*p - 21/5.
-3*(p + 1)*(p + 7)/5
Let q(s) be the first derivative of 177 - 15/4*s**4 + 45*s + 15/2*s**2 + 2*s**5 - 55/3*s**3. Suppose q(m) = 0. Calculate m.
-3/2, -1, 1, 3
Let p be (-19)/((-171)/(-90)) + 37 + -25. What is d in 0*d**3 - 4*d**p + 1/3*d**4 + 0 - 16/3*d = 0?
-2, 0, 4
Let n be (-5 + (-10 - (-120)/8))*(-2)/(-8). Let i(b) be the third derivative of 0*b**3 + 4*b**2 + 1/20*b**5 + n*b + 5/8*b**4 + 0. Find s such that i(s) = 0.
-5, 0
Let y be 2 - -4*18/(-24). Let w(b) = b**2 - 41*b - 24. Let h(v) = v**2 - 5*v. Let i(x) = y*w(x) + 3*h(x). Factor i(s).
2*(s + 1)*(s + 12)
What is y in -5*y**2 + 2533*y - 373*y + 583200 + 7*y**2 = 0?
-540
Let q(n) be the second derivative of -n**6/10 + 111*n**5/80 - 87*n**4/16 + 79*n**3/8 - 75*n**2/8 - 15*n - 11. Factor q(l).
-3*(l - 1)**3*(4*l - 25)/4
Let h(l) be the third derivative of -2/315*l**7 - 40*l**2 - 7/9*l**4 + 0 + 11/180*l**6 - 1/504*l**8 + 0*l + 16/9*l**3 + 2/45*l**5. What is j in h(j) = 0?
-4, -2, 1, 2
Factor 10*i**2 - 54 + 87/2*i + 1/2*i**3.
(i - 1)*(i + 9)*(i + 12)/2
Let g(j) be the first derivative of 3/4*j**4 - 190 + 0*j**3 + 1/2*j**6 - 6/5*j**5 + 0*j**2 + 0*j. Factor g(r).
3*r**3*(r - 1)**2
Let i(a) = a**3 + 103*a**2 + 3*a - 3. Let s(c) = 3*c**3 + 298*c**2 + 10*c - 10. Let f(o) = -10*i(o) + 3*s(o). Solve f(v) = 0 for v.
-136, 0
Factor -11309216 + 11309216 + 16*p**2 - 212*p**3.
-4*p**2*(53*p - 4)
Factor 1316 - 265 + 193*v**2 - 222 + v**3 - 306 - 332 + 383*v.
(v + 1)**2*(v + 191)
Let s be (3 + (-12 - -3) - 3) + 17 + -6. Factor 2*f + 42/11 - 18/11*f**s + 2/11*f**3.
2*(f - 7)*(f - 3)*(f + 1)/11
Let p(q) be the second derivative of 20*q**4 - 12*q**3 - 33*q**2/2 - 381*q - 2. Factor p(w).
3*(4*w + 1)*(20*w - 11)
Let v(r) be the first derivative of 2/65*r**5 + 8/13*r**2 - 14/13*r - 72 - 4/13*r**4 + 4/13*r**3. Find c, given that v(c) = 0.
-1, 1, 7
Suppose 2 = 2*r + s, s = 5*r + 3*s - 7. Suppose -3 = r*i - 9. Let -7*y + 2*y**2 + 8 + 2*y**i - 20*y + 15*y = 0. What is y?
1, 2
Let k(c) be the second derivative of -c**7/14 + 3*c**5/20 + 259*c - 3. Factor k(z).
-3*z**3*(z - 1)*(z + 1)
Let v be (-2)/(-4)*(23 + -2). Let q be -1*1*(103 - (-15575)/(-140)). Find h, given that v*h**2 + q*h + 3/2 = 0.
-1/2, -2/7
Let h(f) be the first derivative of f**6/2 + 51*f**5/5 + 273*f**4/4 + 143*f**3 - 84*f**2 - 588*f - 14. Find k, given that h(k) = 0.
-7, -2, 1
Let c(k) be the first derivative of k**4/4 - 26*k**2 + 96*k + 1021. Factor c(x).
(x - 6)*(x - 2)*(x + 8)
Let p(s) be the second derivative of 2/15*s**3 + 1/150*s**6 + 1/20*s**5 - 2*s + 2/15*s**4 + 0*s**2 - 45. Factor p(k).
k*(k + 1)*(k + 2)**2/5
Factor -4/5*h**2 - 572 - 272/5*h.
-4*(h + 13)*(h + 55)/5
Factor -1223/3*b**3 + 0 + 0*b**2 + 1/3*b**4 + 0*b.
b**3*(b - 1223)/3
Let s(i) be the second derivative of i**5/120 + 67*i**4/24 + 4489*i**3/12 + 107*i**2/2 + 155*i + 1. Let o(q) be the first derivative of s(q). Factor o(w).
(w + 67)**2/2
Factor -2/15*k**3 - 118/15*k - 76/15 - 44/15*k**2.
-2*(k + 1)*(k + 2)*(k + 19)/15
Let m = 1931/633 - 81/211. Let b(k) be the first derivative of -k**5 + m*k**3 - 3*k + k**2 + 11 - 1/2*k**4. Factor b(t).
-(t - 1)*(t + 1)**2*(5*t - 3)
Let y = 1674 + -1672. Let -4/3 + w**y - 4/3*w = 0. What is w?
-2/3, 2
Let b be -1 - (1/4)/(37/(-148)). Suppose b = -8*j + 18 + 14. Factor 3/5*t**3 + 0 - 6/5*t**2 - 8/5*t + 1/5*t**j.
t*(t - 2)*(t + 1)*(t + 4)/5
Let t be (924/(-180) - (-4 + -1))*-18. Let l(x) be the first derivative of -t*x**2 - 5 + x**3 - 3/20*x**4 + 12/5*x. What is s in l(s) = 0?
1, 2
Suppose 0 = -10*c + 5*c + 10. Suppose -21*u = -19*u - 4. Factor u*h**c - 4*h**3 + 2*h**2 - 4 - 8*h + 4*h + 8*h.
-4*(h - 1)**2*(h + 1)
Let y be (-22)/(-5) + 80/(-200). What is z in 41*z**3 + 2*z**2 - 46*z**3 - 3 - 2*z**y + 3*z**2 + 7*z - 2*z = 0?
-3, -1, 1/2, 1
Determine n, given that 3860*n + 7784*n - 16947842 - 4507*n**2 + 4505*n**2 = 0.
2911
Let b(m) be the third derivative of -m**6/480 - m**5/30 - 19*m**4/96 - m**3/2 - 797*m**2. Solve b(k) = 0 for k.
-4, -3, -1
Let q(m) be the first derivative of -m**3 - 123*m**2/2 - 540*m + 478. Factor q(w).
-3*(w + 5)*(w + 36)
Let t(w) be the third derivative of -w**7/945 + 2*w**6/5 - 107*w**5/135 - 2*w**4 + 215*w**3/27 - 4125*w**2. Solve t(z) = 0 for z.
-1, 1, 215
Let o(k) be the first derivative of 64*k + 2/3*k**3 + 33*k**2 + 148. Factor o(s).
2*(s + 1)*(s + 32)
Suppose 35*k - 82 = 33*k. Suppose -58*n**2 + 53*n - 23*n - 27 + 51*n - 35 - 2*n**3 + k*n = 0. Calculate n.
-31, 1
Suppose 0 = -3*q + 4*h + 158, -2*q - 248 = -6*q - 4*h. Let -q*g**2 + 4*g**4 + 6*g**3 - 2*g**4 + 62*g**2 = 0. What is g?
-2, -1, 0
Determine q, given that -1185/2 + 111*q + 3/2*q**2 = 0.
-79, 5
Supp