 u**4 + 31*u. Let c(w) = a(w) - 4*b(w). Factor c(p).
5*(p - 1)**2*(p + 1)*(p + 4)
What is i in 293*i - 5 - 3*i**2 - 287*i + 2 = 0?
1
Let i(h) = -h**3 - h + 1. Let q(j) = -j**4 + 9*j**3 - 17*j**2 + 19*j - 8. Let u(w) = 4*i(w) + 2*q(w). Let u(g) = 0. What is g?
1, 2, 3
Suppose -3/8*l**2 - 321/8*l + 0 = 0. Calculate l.
-107, 0
Let q = -1244 - -1244. Let y be ((-3)/(-2))/(3/6). Determine m, given that 0 + q*m - 1/4*m**y - 1/4*m**2 = 0.
-1, 0
Suppose -3*i + y = 2*i - 400, 3*y = 2*i - 160. Let k = 80 - i. Factor -1/3*o**5 - 1/3*o - 4/3*o**2 - 2*o**3 + k - 4/3*o**4.
-o*(o + 1)**4/3
Find q such that -14*q**2 - 2*q**2 - 6*q**2 + 27*q - 6*q**2 + 25*q**2 = 0.
0, 9
Let k be (-170)/2975*(-7)/1. Determine r, given that -3/10 - 1/10*r**2 + k*r = 0.
1, 3
Let g(y) = -2*y**2 + 2*y - 12. Suppose 0 = s - x - 9, -s = s - 4*x - 28. Let b(l) = 3*l**2 - 2*l + 12. Let v(o) = s*b(o) + 5*g(o). Solve v(a) = 0 for a.
-3, 2
Find t such that 2*t**3 - 53*t**2 - 185*t**2 - 9 + 10 - 482*t - 157 - 86 = 0.
-1, 121
Let o = 43 + -21. Factor -32*x**2 + 6*x + 8*x - 4*x**3 + o*x.
-4*x*(x - 1)*(x + 9)
Suppose 37 = -2*h + a, -46 - 26 = 3*h + 4*a. Let n be (h/(-70))/((-5)/(-7)). Find c, given that -8/5*c**3 + n - 8/5*c + 2/5*c**4 + 12/5*c**2 = 0.
1
Let h = 29 + -26. Factor -10*u - 2*u**3 + 0*u**3 - 2*u**2 - h*u**3 - 13*u**2.
-5*u*(u + 1)*(u + 2)
Suppose -3*s - s + 8 = 0. Let b(f) = 0 - 2*f**s + 2*f + 8*f**2 + 6. Let h(x) = x**2 + 1. Let q(o) = 2*b(o) - 14*h(o). Factor q(c).
-2*(c - 1)**2
Let r(n) = 40*n**2 + 58*n + 18. Let y(p) = 75*p**2 + 115*p + 36. Let o(v) = 5*r(v) - 3*y(v). Solve o(g) = 0 for g.
-9/5, -2/5
Let x(s) = -s**2 + 3*s + 3. Let v be x(0). Let p(o) be the second derivative of -1/90*o**5 - 2*o + 0 + 2/27*o**v + 0*o**2 + 1/54*o**4. Solve p(k) = 0 for k.
-1, 0, 2
Let x(w) be the second derivative of -5*w**4/12 + 85*w**3/6 + 95*w**2 + 192*w. What is p in x(p) = 0?
-2, 19
Suppose -5*g - 15 = 0, -56*g = 2*y - 58*g - 16. Solve 104/11*x**y + 0 + 8/11*x**2 + 8*x**3 + 0*x + 250/11*x**4 = 0 for x.
-2, -1/4, -2/13, 0
Let b be (-8)/(-3) + (-4)/6. Factor 7*a**3 - 22*a**3 + 8*a**3 + 6*a**3 + b*a**2.
-a**2*(a - 2)
Let y = 6265 - 6265. Factor 1/3*m**2 + y - 2/3*m.
m*(m - 2)/3
Let r be (35682/(-1330) - -27)/(6/10). What is i in 10/7*i**3 - 10/7*i - 2/7*i**2 + r = 0?
-1, 1/5, 1
Let c(j) be the second derivative of j**7/630 + 7*j**6/360 + j**5/72 - 2*j**3/3 + j. Let q(v) be the second derivative of c(v). Factor q(m).
m*(m + 5)*(4*m + 1)/3
Let v(j) = -j**3 - j**2. Let s be v(-1). Let y be s + 0 + (-64)/(-72). Determine x so that -y*x**5 + 8/9*x**3 + 0*x - 2/9*x**2 + 2/9*x**4 + 0 = 0.
-1, 0, 1/4, 1
Let g = 524/21 - 496/21. Let 0 + 2/3*j**2 + j - 5/3*j**3 - g*j**4 = 0. Calculate j.
-1, 0, 3/4
Let r(g) be the third derivative of 0*g**3 + 0 + 1/42*g**4 + 4/105*g**5 - 28*g**2 + 0*g. Factor r(l).
4*l*(4*l + 1)/7
Let b(w) = -w**3 - 32*w**2 + 50*w + 563. Let c be b(-33). Determine o, given that -9/2*o**c + 3/2*o**3 + 3*o + 0 = 0.
0, 1, 2
Let f(d) be the second derivative of d**6/5 + 2*d**4/3 + d**3/6 - 5*d**2/2 + d. Let m(z) = 5*z**4 - z**3 + 8*z**2 - 4. Let o(u) = 4*f(u) - 5*m(u). Factor o(i).
-i*(i - 2)**2*(i - 1)
Let g(n) be the second derivative of -n**4/6 + 37*n**3/3 - 36*n**2 - 2*n + 152. Factor g(l).
-2*(l - 36)*(l - 1)
Find w such that 24/17*w + 46/17*w**3 + 0 - 10/17*w**4 - 64/17*w**2 = 0.
0, 3/5, 2
Factor -11 + 3 - 9 + 30*s**4 - 69*s - 3*s**5 + 6*s**2 - 19 + 72*s**3.
-3*(s - 12)*(s - 1)*(s + 1)**3
Let f(o) = 3*o**2 + 5*o - 14. Let u(x) = -7*x**2 - 9*x + 28. Let a(v) = 5*f(v) + 2*u(v). Let l be a(-9). Factor 0*j**2 + 0*j + 0 + 1/4*j**l - j**5 + 0*j**3.
-j**4*(4*j - 1)/4
Let k = -491/14 - -291/7. Factor 1/4 - 5/4*o**5 - k*o**3 - 1/4*o - 19/4*o**4 - 7/2*o**2.
-(o + 1)**4*(5*o - 1)/4
Let k be 1*2/(-4)*0. Let l be (-720)/240 + ((-22)/8)/((-3)/4). Find j such that k + 2/3*j**2 - l*j**3 + 4/3*j = 0.
-1, 0, 2
Let o be 1 + -1 - -4 - 2. Factor -8 + 0*f**o + 0 + 3*f**2 + 10*f - 5*f**2.
-2*(f - 4)*(f - 1)
Let z = -8028/13 + 24136/39. Determine l, given that -2/3*l**3 - 4/3 + z*l**2 + 2/3*l = 0.
-1, 1, 2
Let n(k) be the second derivative of -k**6/10 + 3*k**5/10 - k**4/4 + k + 21. Factor n(q).
-3*q**2*(q - 1)**2
Let n(k) be the third derivative of k**5/480 - 3*k**4/16 + 17*k**3/12 - 11*k**2 + 14*k. Solve n(a) = 0 for a.
2, 34
Let h = 15009 - 15007. Determine a so that -a + 2/3 + 1/3*a**h = 0.
1, 2
Let u(t) be the third derivative of t**7/42 + 11*t**6/24 - 7*t**5/6 - 5*t**4 - 221*t**2. Let u(q) = 0. Calculate q.
-12, -1, 0, 2
Let q(v) be the second derivative of 5*v**8/336 + v**7/14 - v**5/3 + 10*v**2 - 5*v. Let n(b) be the first derivative of q(b). Factor n(z).
5*z**2*(z - 1)*(z + 2)**2
Solve -16/5*q - 8/5 + 2*q**2 = 0.
-2/5, 2
Let m(h) be the second derivative of -h**6/30 + h**5/40 + 5*h**4/8 - 2*h**3/3 - 5*h**2 - 139*h. Find n such that m(n) = 0.
-5/2, -1, 2
Suppose -293 - 48 = -31*p. Let x = p + -7. Factor -x*r**2 - 2/3*r**3 - 8/3 - 6*r.
-2*(r + 1)**2*(r + 4)/3
Suppose 10*g + 28 = -2. Let f(n) = n**3 + 3*n**2. Let u be f(g). Let -8/9*w**3 + 10/9*w**2 + 2/9*w**4 + u - 4/9*w = 0. Calculate w.
0, 1, 2
Let d(o) be the third derivative of 3*o**5/50 + 7*o**4/45 + o**3/45 + 57*o**2. Factor d(u).
2*(u + 1)*(27*u + 1)/15
Let h(b) be the second derivative of b**9/22680 + b**8/3360 + b**4/2 - 4*b. Let n(q) be the third derivative of h(q). Factor n(x).
2*x**3*(x + 3)/3
Let y be 0 + 0 + (-26 - (-55 + 27)). Factor -1/2 - 3/4*q**y + 1/4*q**4 - 5/4*q + 1/4*q**3.
(q - 2)*(q + 1)**3/4
Let j(m) be the first derivative of 0*m + 3 - 2*m**3 + 0*m**2 - 9/5*m**5 - 15/4*m**4. Factor j(o).
-3*o**2*(o + 1)*(3*o + 2)
Let p be (10/16)/(945/252). Suppose 2/3 + 5/6*g + p*g**2 = 0. Calculate g.
-4, -1
Let l be (25/12)/(240/432). Let 3/4*z**3 + 3*z**2 + l*z + 3/2 = 0. What is z?
-2, -1
Let h(d) = 2*d**2 + 5*d - 7. Let a(o) = -o + 1. Let m(f) = 6*a(f) + h(f). Let n be m(-1). Suppose 128*b - 128*b + 2*b**3 - b**n = 0. Calculate b.
0, 1/2
Let i be 30/(-8)*24/324*-12. Factor -8/3*n**3 - 16/3*n**2 - i*n - 2/3.
-2*(n + 1)*(2*n + 1)**2/3
Let h be (-1)/((-729)/1428 + (-28)/(-238)). Find g such that 18/11*g + h*g**3 + 32/11*g**2 + 12/11*g**4 + 4/11 + 2/11*g**5 = 0.
-2, -1
Let r(m) be the third derivative of m**8/560 - m**7/525 - 9*m**6/200 + m**5/50 + 11*m**4/30 - 4*m**3/5 + 13*m**2 + 11. Find o such that r(o) = 0.
-2, 2/3, 1, 3
Let z(p) = 7*p**3 + 794*p**2 + 341*p + 228. Let m be z(-113). Factor -64/7 - 16/7*x - 1/7*x**m.
-(x + 8)**2/7
Let z(n) be the first derivative of -n**6/1080 + n**4/72 - 3*n**3 - 36. Let s(h) be the third derivative of z(h). Solve s(a) = 0 for a.
-1, 1
Let v = -595 + 1141. Factor -9*y + y + v*y**2 - 542*y**2.
4*y*(y - 2)
Solve -2/11*v**3 + 350/11 - 6/11*v**2 + 90/11*v = 0.
-5, 7
Let z(u) be the second derivative of u**4/8 + u**3/2 + 3*u**2/4 + 94*u. Suppose z(r) = 0. What is r?
-1
Suppose 0 = -3*t + 48 + 6. Let p be 32/t + 8/36. Find m, given that 6*m - 6*m**2 - 4*m**4 - 4*m + p*m**4 + 6*m**3 = 0.
0, 1
Let f(y) be the second derivative of y**6/360 - y**5/45 + 17*y**2/2 + 9*y. Let s(j) be the first derivative of f(j). Suppose s(i) = 0. Calculate i.
0, 4
Let s(g) be the second derivative of -g**6/6 - 21*g**5/2 + g - 74. Factor s(o).
-5*o**3*(o + 42)
Let l(n) be the third derivative of n**8/24 + 78*n**7/175 + 142*n**6/75 + 296*n**5/75 + 4*n**4 + 32*n**3/15 - 11*n**2 - 2*n. Let l(r) = 0. Calculate r.
-2, -2/5, -2/7
Let o(m) be the first derivative of 4/3*m**3 + 0*m + m**4 + 0*m**2 + 6. Factor o(h).
4*h**2*(h + 1)
Let v(z) be the third derivative of 25*z**2 + 1/150*z**5 + 0*z + 0 + 0*z**3 + 0*z**4. Let v(i) = 0. Calculate i.
0
Let s be 288/(-240) - 6/(-5). Let k(t) be the second derivative of 0*t**2 + 0 + 0*t**5 - 1/240*t**6 - 7*t + s*t**4 + 0*t**3. Suppose k(m) = 0. Calculate m.
0
Let r(l) be the third derivative of l**8/588 - l**7/147 - l**6/420 + l**5/30 - l**4/84 - 2*l**3/21 + 194*l**2. Determine x, given that r(x) = 0.
-1, -1/2, 1, 2
Let f(d) be the third derivative of -3*d**6/5 - 56*d**5/5 - 109*d**4/12 - 3*d**3 + 131*d**2. Let f(h) = 0. What is h?
-9, -1/6
Suppose 213 + 187 = 10*p. Factor 43*o**2 - 16*o - p*o**2 + o.
3*o*(o - 5)
Let g(r) be the first derivative of -1/10*r**5 + 4 + 7/32*r**4 + 0*r - 1/12*r**3 - 1/16*r**2. Suppose g(p) = 0. What is p?
-1/4, 0, 1
Let g = -7103 + 49739/7. Find f such that -4/7*f**2 +