 -p*i. Suppose h**i + 3*h**3 - h**2 + h**3 + 2*h + 5*h**2 + h**2 = 0. What is h?
-2, -1, 0
Suppose 0 = -113*w - 196*w + 618. Let 162/7*a**w + 8/7 + 72/7*a = 0. Calculate a.
-2/9
Let r be 7650/(-35) + -3*(1 + 0). Let b = 223 + r. Let 6/7 + 2/7*g**2 + b*g - 2/7*g**3 = 0. What is g?
-1, 3
Let z(u) be the third derivative of -u**6/720 + u**5/60 - u**4/16 - 11*u**3/6 - 7*u**2. Let p(m) be the first derivative of z(m). Factor p(n).
-(n - 3)*(n - 1)/2
Let c = 33 - 31. Let g(i) = -i**3 + i**2 + 4*i - 3. Let f be g(c). Find b such that 0*b**2 - b**4 + f - 5/2*b**3 + 5/2*b = 0.
-2, -1, -1/2, 1
Let r(h) be the first derivative of -h**6/1440 + h**4/24 + 5*h**3 + 14. Let j(q) be the third derivative of r(q). Factor j(x).
-(x - 2)*(x + 2)/4
Let f(w) be the third derivative of 0*w + 2/25*w**5 - 13/300*w**6 + 2/175*w**7 + 0 + 12*w**2 + 0*w**3 - 1/15*w**4 - 1/840*w**8. Determine o so that f(o) = 0.
0, 1, 2
Let q(m) be the first derivative of m**6/40 - 3*m**5/20 + 3*m**4/8 - m**3/2 - 2*m**2 - 16. Let l(p) be the second derivative of q(p). Solve l(g) = 0.
1
Suppose 28 = 54*i - 58*i. Let a(q) = 19*q**3 - 61*q**2 + 40*q - 13. Let f(g) = -29*g**3 + 91*g**2 - 60*g + 19. Let b(s) = i*a(s) - 5*f(s). Factor b(d).
4*(d - 1)**2*(3*d - 1)
Factor -256/5 + 32/5*c - 1/5*c**2.
-(c - 16)**2/5
Let p(s) be the third derivative of s**5/20 - s**4/8 - 14*s**2. Solve p(b) = 0.
0, 1
Let g be (-92)/(-252) - (110/(-14) - -8). Factor 4/9*v + 0 + g*v**2.
2*v*(v + 2)/9
Let d be (-72)/1600*1 + (-4)/(-32). Let u(q) be the first derivative of 0*q - d*q**5 + 2/5*q**2 - 10 + 2/15*q**3 - 1/5*q**4. Find r, given that u(r) = 0.
-2, -1, 0, 1
Let z = 47 - 43. Suppose 5*y = 3*x - 7*x - 1, 2*y - z*x - 22 = 0. Find u, given that 1/5*u + 0*u**y + 2/5*u**2 - 1/5*u**5 + 0 - 2/5*u**4 = 0.
-1, 0, 1
Let z(v) be the third derivative of v**6/540 + v**5/90 + 174*v**2. Find q, given that z(q) = 0.
-3, 0
Let r(u) = -u**3 - 23*u**2 + 24*u + 3. Let n be r(-24). Let i(d) be the first derivative of 1/6*d**n + 0*d + 2 + 1/4*d**2. Factor i(o).
o*(o + 1)/2
Let d(c) = 4*c**4 - 9*c**3 - 66*c**2 - 65*c - 18. Let g(j) = 4*j**4 - 8*j**3 - 68*j**2 - 64*j - 16. Let l(k) = -4*d(k) + 3*g(k). Factor l(z).
-4*(z - 6)*(z + 1)**3
Let a(y) be the third derivative of y**5/300 + 22*y**4/15 + 3872*y**3/15 - 740*y**2. Factor a(t).
(t + 88)**2/5
Let b = 38 + -30. Find x such that 2*x**3 + 1 - 3 + 2 - 6*x**2 + b = 0.
-1, 2
Let f(v) be the second derivative of -v**7/21 + 47*v**6/3 - 2209*v**5 + 519115*v**4/3 - 24398405*v**3/3 + 229345007*v**2 + 34*v. Factor f(m).
-2*(m - 47)**5
Let h(g) = 3*g**2 + 4*g + 1. Let x be h(-2). Suppose 2*m - x*u + 25 = 0, 0 = 2*m - m + 3*u - 15. Factor 0*p - 2/5*p**2 + 0 + m*p**3 + 2/5*p**4.
2*p**2*(p - 1)*(p + 1)/5
Let c(l) be the third derivative of -5*l**6/108 - 529*l**5/54 - 526*l**4/27 - 140*l**3/9 - 284*l**2. Factor c(b).
-2*(b + 105)*(5*b + 2)**2/9
Let n(u) be the second derivative of -u**6/90 - 49*u**5/60 + u**4/36 + 49*u**3/18 + u - 21. Determine t so that n(t) = 0.
-49, -1, 0, 1
Factor 0 - 3/5*v**3 - 21/5*v**2 + 24/5*v.
-3*v*(v - 1)*(v + 8)/5
Factor 130*f**3 + 29*f**2 + 10*f**4 + 24*f**3 + 31*f**2.
2*f**2*(f + 15)*(5*f + 2)
Suppose -6 + 26 = -5*a. Let w be (30/20)/((-2)/a). Factor 0 - 2/5*m**2 - 2/5*m**w + 0*m.
-2*m**2*(m + 1)/5
Let c(o) be the third derivative of 3/20*o**5 + 13/8*o**4 + 0*o + 0 + 2*o**3 + 10*o**2. Find h, given that c(h) = 0.
-4, -1/3
Factor 1000/3 + 10*d**2 - 100*d - 1/3*d**3.
-(d - 10)**3/3
Determine i, given that 4*i**3 + i + 18 + 12*i**2 + 2 - 37*i = 0.
-5, 1
Let n(q) be the second derivative of -q**7/5 + 44*q**6/75 - q**5/2 + q**4/15 + 12*q. Solve n(f) = 0 for f.
0, 2/21, 1
What is x in -13*x**2 - 768*x + 773*x + 5 + 3*x**2 = 0?
-1/2, 1
Let j(y) be the first derivative of y**5/150 - y**4/30 + 2*y**3/45 + 39*y + 17. Let l(r) be the first derivative of j(r). Let l(u) = 0. Calculate u.
0, 1, 2
Let h(t) be the second derivative of -t**5/20 - 3*t**4/4 - 9*t**3/2 + 15*t**2 + 22*t. Let k(v) be the first derivative of h(v). Find x, given that k(x) = 0.
-3
Suppose 2*m - 4*o = -o - 24, 0 = 3*o - 12. Let r be (1/(-49)*m)/((-1)/(-7)). Factor 2*c**4 - r*c**5 - 10/7*c**3 + 0*c + 0 + 2/7*c**2.
-2*c**2*(c - 1)**2*(3*c - 1)/7
Let f = -2/115 - -139/1380. Let m(r) be the second derivative of -1/30*r**6 + 8*r - 1/2*r**3 - f*r**4 + 3/20*r**5 + r**2 + 0. What is o in m(o) = 0?
-1, 1, 2
Let b(f) be the second derivative of -f**7/231 + f**6/33 - 7*f**5/110 - f**4/66 + 8*f**3/33 - 4*f**2/11 + 5*f. Suppose b(k) = 0. What is k?
-1, 1, 2
Let l(f) = -f**3 - f - 1. Let v(x) = -5*x**3 + 33*x**2 - 259*x - 293. Let g(a) = -4*l(a) + v(a). Factor g(w).
-(w - 17)**2*(w + 1)
Suppose 11*a - 6 = 9*a. Suppose j + s = 6*j - 17, -4*j + a*s + 18 = 0. Factor -13*o**4 - 15*o**3 + 6*o**j + 6*o**2 - 2*o**4.
-3*o**2*(o + 1)*(5*o - 2)
Let g(j) be the first derivative of 15 - 1/3*j**2 + 2/3*j - 4/9*j**3. Factor g(r).
-2*(r + 1)*(2*r - 1)/3
Suppose m - 7*r + 2*r = -11, -2*r = -4*m + 10. What is z in 0 + 2/19*z**5 + 2/19*z**m - 2/19*z**2 + 4/19*z - 6/19*z**3 = 0?
-2, -1, 0, 1
Suppose 0 = -4*c + 80 - 60. Let u(h) be the second derivative of 0*h**6 + 1/30*h**5 + 0*h**2 + 0*h**4 - 1/126*h**7 - 1/18*h**3 - c*h + 0. Factor u(b).
-b*(b - 1)**2*(b + 1)**2/3
Let h(r) be the first derivative of -1/2*r**4 + 1/3*r**3 - 24 + 0*r**2 + 1/5*r**5 + 0*r. Let h(l) = 0. What is l?
0, 1
Let j be 20/7 - 5/(-35). Solve 3*u**3 + 6*u**4 - 6*u**2 + 248*u - j*u**5 - 248*u = 0.
-1, 0, 1, 2
Suppose 5*w + 12 = -3*x + 2, 3*w = 2*x + 32. Let f = -5 - x. Suppose -f*o + 0*o - 2*o + o + 9 + o**2 = 0. Calculate o.
3
Let f(p) = p - 12. Let k be f(4). Let i be (k/14)/(1/(-7)). Factor -u**2 + 7*u**5 + 2 - 3*u**3 + u**4 - 2 - i*u**5.
u**2*(u - 1)*(u + 1)*(3*u + 1)
Let a(b) = 3*b**2 - 8*b. Let t = -13 - -21. Let r = -10 + t. Let s(p) = 2*p**2 - 4*p. Let u(q) = r*a(q) + 5*s(q). Solve u(h) = 0.
0, 1
Suppose 2*x = -2*r + 8, -31*x + 28*x - 2*r + 10 = 0. Factor 13/9*p - 2/9 - x*p**2.
-(2*p - 1)*(9*p - 2)/9
Let r(u) be the first derivative of -2*u**3/27 - 34*u**2/9 - 578*u/9 - 35. Factor r(a).
-2*(a + 17)**2/9
Let b(o) = -122*o**2 + 347*o + 160. Let w(q) = 975*q**2 - 2775*q - 1280. Let r(z) = 25*b(z) + 3*w(z). Factor r(n).
-5*(5*n - 16)*(5*n + 2)
Let n(b) = 76*b + 76. Let s be n(-1). Determine o, given that -1/2*o**5 - 2*o**4 + s - 2*o**2 - 3*o**3 - 1/2*o = 0.
-1, 0
Suppose 55 = -2*o + o. Let h be (-2)/10 - o/25. Determine l, given that 0*l - 2 + 2*l**h - 3*l + 3*l = 0.
-1, 1
Let i(y) be the second derivative of 0*y**2 + 3/20*y**5 - 1/4*y**4 - 6*y - 1/30*y**6 + 0 + 1/6*y**3. Suppose i(t) = 0. Calculate t.
0, 1
Let p(c) be the first derivative of c**5/30 + c**4/2 + 5*c**3/3 - 25*c**2/3 - 125*c/2 + 59. Factor p(j).
(j - 3)*(j + 5)**3/6
Let c be (-157)/(-60) - ((-105)/(-36) + -3). Let m(d) be the second derivative of -7*d - 3/2*d**3 + 0 - c*d**2 - 7/20*d**4 - 3/100*d**5. Factor m(x).
-3*(x + 1)*(x + 3)**2/5
Let c = -479 + 223. Let m = c - -259. Suppose 0 + 1/7*d**m + 2/7*d**2 + 1/7*d = 0. Calculate d.
-1, 0
Suppose -5*f = r - 340 + 323, -2*r = 4*f - 22. Factor -5/4*h**3 - 5 + 15/4*h**f + 0*h.
-5*(h - 2)**2*(h + 1)/4
Let c be ((-37)/(-10) + -4)*-18*57. Let a = c + -303. Factor -1/5*m**4 - 16/5 + 8/5*m**3 + 32/5*m - a*m**2.
-(m - 2)**4/5
Let w be -4*(-8)/(-96)*(-5 - 1). Let n(o) be the second derivative of 0 + 8*o - 1/5*o**5 + 4/3*o**3 + 0*o**w + 1/3*o**4. Factor n(d).
-4*d*(d - 2)*(d + 1)
Let m(y) be the second derivative of 0 - 10*y - 1/72*y**4 + 1/12*y**2 + 0*y**3. What is g in m(g) = 0?
-1, 1
Let i(d) be the first derivative of -6/5*d**5 - 4/3*d**6 - 4 + 0*d**2 + 1/2*d**4 + 0*d**3 + 0*d. Factor i(h).
-2*h**3*(h + 1)*(4*h - 1)
Let s be -2*(-4 - (-44)/8). Let u be s - 462/(-135) - 2/10. Factor 2/9*l - 2/9*l**4 + 0 + 2/9*l**2 - u*l**3.
-2*l*(l - 1)*(l + 1)**2/9
Let a(o) = o**5 + 6*o**4 - 3*o**3 - 8*o**2 + 3*o. Let r(v) = 6*v**5 + 30*v**4 - 16*v**3 - 40*v**2 + 16*v. Let k(s) = -16*a(s) + 3*r(s). Factor k(t).
2*t**2*(t - 2)**2*(t + 1)
Solve -2/5 + 1/5*l**3 + 2/5*l**2 - 1/5*l = 0 for l.
-2, -1, 1
Let n(u) be the third derivative of -u**5/20 - 59*u**4/2 - 6962*u**3 + u**2 - 12. Factor n(v).
-3*(v + 118)**2
Let h(d) = 7*d + 4 + d**2 - 9*d - 8*d. Let i be h(10). Determine a so that -1/2*a**i + 0 + 0*a**3 + 0*a**2 + 0*a + 1/2*a**5 = 0.
0, 1
Let q(h) be the second derivative of -h**