v + 10. Factor d(u).
2*(u - 2)*(u + 1)**2*(u + 3)/5
Let a(m) be the second derivative of m**6/135 + 19*m**5/30 + 361*m**4/18 + 6859*m**3/27 + 92*m. Factor a(k).
2*k*(k + 19)**3/9
Let o(v) = 9*v**2 - 11*v - 30. Let n(m) = -5*m**2 + 5*m + 16. Let y(d) = 5*n(d) + 3*o(d). Determine i, given that y(i) = 0.
-1, 5
Let t(b) = 17*b**2 + 48*b + 157. Let x(v) = 8*v**2 + 24*v + 78. Let o = 27 - 21. Let s(i) = o*t(i) - 13*x(i). Factor s(m).
-2*(m + 6)**2
Let o(v) be the third derivative of v**5/100 + 3*v**4/20 + 13*v**2 - 6. Suppose o(g) = 0. Calculate g.
-6, 0
Suppose 91 - 76 = 3*f. Factor 10 + 17*h**3 - 3*h - 7*h**f - 76*h**2 - 33*h**4 - 127*h**3 - 9*h**4 - 12*h**4.
-(h + 1)**3*(h + 5)*(7*h - 2)
Let o = 1 + 3. Factor 2*p**3 - 2*p**2 - 2*p**4 - 10*p**3 + o*p**3.
-2*p**2*(p + 1)**2
Suppose -5*g + 45 = 35. Let q(t) = 5*t**3 + 75*t**2 + 317*t + 247. Let i(s) = 110*s**3 + 1650*s**2 + 6975*s + 5435. Let z(k) = g*i(k) - 45*q(k). Solve z(r) = 0.
-7, -1
Let u(f) be the second derivative of -f**7/42 + 16*f**6/75 - 7*f**5/100 - 8*f**4/15 + 2*f**3/5 + 10*f. What is p in u(p) = 0?
-1, 0, 2/5, 1, 6
Let o(r) = r**3 - r**2 - 9*r + 15. Let h(g) = -4*g**3 + 3*g**2 + 38*g - 59. Let f(a) = 6*h(a) + 26*o(a). Determine k, given that f(k) = 0.
-2, 3
Suppose -y = -p + 39 - 31, -4*p - 40 = 5*y. Find n such that 0*n**2 + n**3 + 5/6*n**4 + 1/6*n**5 + p + 0*n = 0.
-3, -2, 0
Let m be (20 + -11)/(1/7). Let r = 88 + -40. Find x such that -r + 31*x**2 + 29*x**2 - 24*x - m*x**2 = 0.
-4
Let p(t) be the second derivative of 5*t**4/36 + 8*t**3/9 + 2*t**2 + 68*t + 1. Factor p(g).
(g + 2)*(5*g + 6)/3
Let b be (-94)/(-154) + (-94)/517. Let 0 + b*h - 144/7*h**5 + 24/7*h**4 + 30/7*h**2 + 87/7*h**3 = 0. Calculate h.
-1/3, -1/4, 0, 1
Let m be 4/(-14)*14/(-12). Let i = 123 - 365/3. Factor -m*n**4 - 13/3*n**2 + 4*n + 2*n**3 - i.
-(n - 2)**2*(n - 1)**2/3
Let m(o) be the third derivative of -o**8/8960 + o**7/1680 + o**6/960 - o**5/80 - 29*o**4/24 - 27*o**2. Let p(j) be the second derivative of m(j). Factor p(z).
-3*(z - 2)*(z - 1)*(z + 1)/4
Let l = -3455/29 - -119. Let i = l - -223/145. Solve -1/5*p**3 - 3*p - 9/5 - i*p**2 = 0.
-3, -1
Let c = 3902371/35220 + 1/7044. Let v = 111 - c. Solve -1/10*q**2 - v - 3/10*q = 0.
-2, -1
Suppose 2*q - 409 = 3*a, -3*q - q - 4*a + 868 = 0. Let v = q - 1039/5. Factor -27/5*u**2 + 3*u**3 - 6/5 - 3/5*u**4 + v*u.
-3*(u - 2)*(u - 1)**3/5
Let o(n) be the first derivative of -n - 2 - 3*n**3 + 3/2*n**2. Let j(p) = -p. Let q(l) = 3*j(l) - o(l). Suppose q(g) = 0. What is g?
1/3
Suppose 293 - 303 = -5*p. Find v such that -1/4*v + 1/2 - 1/4*v**p = 0.
-2, 1
Let q(i) be the second derivative of 0*i**4 + 0*i**3 + 0 - 9*i - 5/2*i**2 + 1/150*i**5. Let r(y) be the first derivative of q(y). Solve r(a) = 0 for a.
0
Let m = 6881/2 + -3436. Suppose 15/2 - 24*i + m*i**2 = 0. Calculate i.
1/3, 5
Let -9*i**5 + 11*i + 39*i**3 + 4*i - 33*i - 30*i**4 + 3*i**2 + 15*i**4 = 0. What is i?
-3, -2/3, 0, 1
Suppose 1 = 2*z - 29. Suppose 0 = -5*l + 3*h + 16 + z, -h + 13 = 3*l. What is q in 3*q**5 + 3*q**4 + q - q + 0*q**l = 0?
-1, 0
Let i = 0 + -1. Let z(h) = 5*h**2 - 6*h + 5. Let d(a) be the second derivative of -a**4/12 - a**2/2 + a - 6. Let u(c) = i*z(c) - 2*d(c). Factor u(o).
-3*(o - 1)**2
Suppose 15 = 3*g + 3*f, -5*g + 8*f = 4*f + 2. Let c(t) = 3*t - 3. Let m be c(2). Solve -r**m - 4*r**3 + g*r**3 + 5*r**2 + r**2 = 0 for r.
0, 2
Let t(i) be the third derivative of i**5/15 + 55*i**4/3 + 6050*i**3/3 + 164*i**2. Factor t(o).
4*(o + 55)**2
Let o(h) be the first derivative of 22 - 1/7*h**2 + 1/21*h**3 + 0*h. Factor o(u).
u*(u - 2)/7
Let z be 6/(-18)*26 - -12. Suppose 8/3*x**3 - 4/3 + 8/3*x**4 - z*x - 4/3*x**2 + 2/3*x**5 = 0. What is x?
-2, -1, 1
Let l(q) = -12*q**2 - 231*q + 216. Let r(n) = -n**3 + 35*n**2 + 694*n - 656. Let s(h) = 8*l(h) + 3*r(h). Factor s(w).
-3*(w - 10)*(w - 1)*(w + 8)
Factor -7*a**2 - 2 - 4/5*a**3 + 49/5*a.
-(a - 1)*(a + 10)*(4*a - 1)/5
Factor -l**3 - 32*l + 90*l + 244*l**2 - 271*l**2.
-l*(l - 2)*(l + 29)
Let p(o) = -o**3 + 23 - 2*o + 9 - o**2 + o. Let j be p(0). Factor j*g**2 + 11*g**4 - 14*g + 7*g**4 - 42*g**3 + 6*g.
2*g*(g - 1)*(3*g - 2)**2
Suppose 0 = -4*c - 0 + 8. Suppose 0 = 3*n - h - 26, -2*n + 12 = -c*h + 4*h. Determine s, given that -s**3 - n*s - 5 + 0*s**3 + 3 - 5*s**2 - 2 = 0.
-2, -1
Suppose -79 = -2*d - 59. Factor d*t + 1/2*t**4 + 9*t**2 + 4 + 7/2*t**3.
(t + 1)*(t + 2)**3/2
Let m = 1780 - 8894/5. Factor -m*y - 9/5 - 1/5*y**2.
-(y + 3)**2/5
Suppose 4 = 3*b + 3*t + 1, -5*b + 2*t = -40. Factor -b*r - 6*r + 5*r**3 - 4*r + r + 10*r**2.
5*r*(r - 1)*(r + 3)
Let j(h) be the first derivative of -h**2 + 30*h - 13. Let v be j(15). Factor v - 1/4*b**2 + 1/2*b.
-b*(b - 2)/4
Let x(v) be the third derivative of -v**7/5880 + v**6/1260 + v**5/840 - v**4/84 + v**3/2 - 5*v**2. Let b(a) be the first derivative of x(a). Factor b(g).
-(g - 2)*(g - 1)*(g + 1)/7
Let z be 5/(-1 + 56) - 702/(-143). Let o(w) be the third derivative of 1/105*w**7 + w**2 - 1/20*w**6 + 0*w**3 + 0*w + 1/10*w**z - 1/12*w**4 + 0. Factor o(p).
2*p*(p - 1)**3
Let i(d) = 2*d**2 + 10*d + 8. Let y(n) = n + 1. Let t(c) = -11*c**2 - 65*c - 54. Let k(s) = t(s) + 6*y(s). Let m(b) = -34*i(b) - 6*k(b). Factor m(r).
-2*(r - 8)*(r + 1)
Let a = 391/55110 - -1/501. Let z(h) be the second derivative of -2*h + 0*h**2 + a*h**5 - 2/33*h**3 - 1/66*h**4 + 0. Determine p, given that z(p) = 0.
-1, 0, 2
Factor 0*c**2 + 0*c**2 + 8*c**4 - c**4 - 5*c**4 + 2*c**5.
2*c**4*(c + 1)
Suppose 0*x**2 - x**4 + 3/2*x**3 - 1/2*x + 0 = 0. What is x?
-1/2, 0, 1
Let r(a) = a**4 + 2*a**2 + a - 1. Let k(o) = 14*o**4 - 44*o**3 + 140*o**2 + 10*o - 10. Let j(g) = k(g) - 10*r(g). Factor j(f).
4*f**2*(f - 6)*(f - 5)
Let a(r) = -27*r + 542. Let m be a(20). Factor 4/3*f**m + 0*f + 0 - 8*f**3.
-4*f**2*(6*f - 1)/3
Let v(q) = 2*q + 10. Let l be v(-5). Let o be (9/(-54))/((-2)/32 - l). Factor 2*n**2 - 14/3*n**4 + 0*n + o*n**3 + 0.
-2*n**2*(n - 1)*(7*n + 3)/3
Let s = -2390 - -2396. Factor s - 27/2*v**3 + 63/2*v**2 - 24*v.
-3*(v - 1)*(3*v - 2)**2/2
Factor -32*l + 91*l + 578 + 9*l + 2*l**2.
2*(l + 17)**2
Determine f so that 15*f - 1970*f**5 + 1967*f**5 - 18*f**4 - 12*f**3 + 4*f**2 + 14*f**2 = 0.
-5, -1, 0, 1
Let g(m) = m**2 + 2*m - 3. Let d = 1 + 19. Let u(j) = -4*j**2 - 6*j + 10. Let n(z) = d*g(z) + 6*u(z). Factor n(k).
-4*k*(k - 1)
Let w be -2 - (-25)/15 - (-22)/36. Let z = 1/126 + w. Let 1/7*p**2 + 0 + z*p = 0. Calculate p.
-2, 0
Suppose 2*d + 2*b = 3*d + 6, 0 = -2*d + 5*b - 16. Find l such that -8 - 1/2*l**d + 4*l = 0.
4
Let 126*h**3 - 69*h**2 - 129*h**3 - 148*h + 22*h = 0. What is h?
-21, -2, 0
Let v(g) be the third derivative of -30*g**2 + 19/780*g**6 + 1/65*g**5 + 0*g + 0*g**4 + 0 + 0*g**3 - 1/195*g**7. Factor v(u).
-2*u**2*(u - 3)*(7*u + 2)/13
Let s(p) be the second derivative of -1/126*p**7 + 1/36*p**4 + 10*p + 0 + 0*p**2 - 1/20*p**5 + 0*p**3 + 1/30*p**6. Suppose s(d) = 0. What is d?
0, 1
Let r(t) be the second derivative of -2*t**5/5 - t**4/6 - 2*t + 13. Factor r(y).
-2*y**2*(4*y + 1)
Let y be 4/(-18)*-6 - 429/(-468). Let g(m) be the first derivative of y*m + 3/4*m**2 + 1/12*m**3 + 6. Suppose g(c) = 0. Calculate c.
-3
Suppose -32*r = -42*r. Let g be ((-6)/36*r)/(-3). Find d such that d + g - 4/3*d**2 + 1/3*d**3 = 0.
0, 1, 3
Let h be 6/17*1870/1485. Factor -2/9*c**3 - 2/3*c**2 + 10/9*c - h + 2/9*c**4.
2*(c - 1)**3*(c + 2)/9
Let a be 2 + (0 - 1 - -16). Let z = 19 - a. Let g**2 - g**3 + g - z*g**4 + 0*g**3 + g**4 = 0. What is g?
-1, 0, 1
Let a(h) = h**3 - 2*h**2 - h + 4. Let b be a(2). Let 3*g - 2 + g**b - 3 + 7 = 0. Calculate g.
-2, -1
Find l such that -46*l**3 - 12647*l + 4*l**5 + 12703*l + 4*l**5 + 44*l**2 - 10*l**4 - 16 = 0.
-2, -1, 1/4, 2
Suppose -64 = -3*a - 0*h - h, 0 = -3*a + h + 56. Factor -60*w + 70*w**2 + 0*w**4 + 5*w**4 + a - 5*w**2 - 30*w**3.
5*(w - 2)**2*(w - 1)**2
Suppose 28 = -94*w + 216. Find l such that 6/7*l**w + 12/7*l + 0 = 0.
-2, 0
Let t be (15/21)/(4/28). Factor -i - t*i**2 + 4*i - 7*i - 11*i - 10.
-5*(i + 1)*(i + 2)
Let w = -17111 + 51334/3. What is z in -w*z + 2/3*z**2 - 1/3*z**3 + 0 = 0?
0, 1
Let n(d) = -7*d**2 + 3. Suppose -4*q - 5*x = -x + 120, 4*q + 2*x + 114 = 0. Let r(f) = 28*f**2 - 9 - 6 - 6 + 20*f**2. Let c(k) = q*n(k) - 4*r(k). Factor c(m).
-3*(m - 1)*(m + 1)
Suppose 2*n**4 - 2*n**4 - 2*n**5 + n**5 - 41*n**3 + 42*n**3 = 0. What i