 15/8*h + 3*h**l + 3/8*h**3 - 21/4 = 0.
-7, -2, 1
Find x, given that -10*x**3 - 35/2*x**2 - 1/2*x**4 + 10*x + 18 = 0.
-18, -2, -1, 1
Let c(p) be the third derivative of -1/60*p**4 + 16 - 1/150*p**5 - 2*p**2 + 0*p**3 + 0*p. Find i such that c(i) = 0.
-1, 0
Let f(r) be the first derivative of -2*r**5/15 - 167*r**4/18 + 1162*r**3/27 - 529*r**2/9 + 236*r/9 + 1489. Suppose f(a) = 0. What is a?
-59, 1/3, 1, 2
Let w(a) = -2*a**2 - 74*a - 62. Let m(n) = 6*n**2 + 221*n + 180. Let o(l) = 2*m(l) + 7*w(l). Factor o(j).
-2*(j + 1)*(j + 37)
Factor 171 + 121 - 200*w - 97*w**2 - 4*w**3 - 336.
-(w + 2)*(w + 22)*(4*w + 1)
Let f(l) = l**2 - 34*l + 1. Let x be f(0). Factor 2*j**2 - x + 5 - 7*j + 9*j + 4*j.
2*(j + 1)*(j + 2)
Let o(n) = -4*n - 21. Let i(t) = -5*t**2 - 3*t + 2. Let y be i(1). Let b be o(y). Let 3*j**3 + j**3 + 9*j**5 + b*j**5 - 8*j**3 - 8*j**4 = 0. Calculate j.
-1/3, 0, 1
Let b be -3 + 81/33 + (-4914)/(-297). Let t be (-5)/(-2) + 671/(-66) + b. Determine z, given that 5/3*z**5 + 0*z - t*z**3 - 5*z**2 - 5/3*z**4 + 0 = 0.
-1, 0, 3
Let d = 1502/309 - 20/103. Let u be -2 - -3 - (4 - 6). Suppose -d*g**4 - 4/3*g**u + 40/3*g + 14*g**2 + 8/3 = 0. What is g?
-1, -2/7, 2
Suppose -2*o - 3*s = -38, -4*s + 11 = 2*o - 29. Suppose 0 = 4*u - 2*z - o, 2*u - 9 = u - 2*z. Factor 15*k**4 - 6*k**3 - 4*k**3 - 11*k**5 + 6*k**u.
-5*k**3*(k - 2)*(k - 1)
Let n be (2 - 15/10)*(0 + 6). Factor 76*l + 40*l + 65*l**2 - 5*l**2 - 36*l**n + 4*l**4 - 16*l.
4*l*(l - 5)**2*(l + 1)
Let s be -1 + 1/1 - (-8 - -3). Let o be 3/s - (-126)/(-35) - -7. Factor -11*c + 5*c + o*c**4 + 4*c**2 + 6*c**3 - 7*c**2 - c**4.
3*c*(c - 1)*(c + 1)*(c + 2)
Let y(j) be the third derivative of j**7/15 + 31*j**6/15 - 169*j**5/30 + 19*j**4/6 + 34*j**2 - 52*j. Factor y(h).
2*h*(h - 1)*(h + 19)*(7*h - 2)
Find d, given that 480*d**2 - 450*d + 0 + 1/2*d**4 - 61/2*d**3 = 0.
0, 1, 30
Let f(n) be the second derivative of 0*n**2 + 0*n**4 + 9*n - 1/50*n**5 + 1/315*n**7 + 0*n**3 + 2/225*n**6 + 6. Factor f(y).
2*y**3*(y - 1)*(y + 3)/15
Let b be (0 - 0)/((-7)/(7/2)). Let x be 2/16*-4*b. Factor x - 32/7*y**3 - 2*y**4 - 4/7*y - 22/7*y**2.
-2*y*(y + 1)**2*(7*y + 2)/7
Suppose -a - 88 = -4*j - 101, -2*j + 6 = 2*a. Let c = 2671/1068 + -1/1068. Let c*f**4 - f + 7/2*f**2 - 9/2*f**3 + 0 - 1/2*f**a = 0. What is f?
0, 1, 2
Let v be (3 + (0 - 7))*11*(-17)/1870. Suppose -4/5*d + 0 - v*d**2 = 0. What is d?
-2, 0
Let -76/5*h**5 - 1816/5*h**4 + 10*h + 0 + 2073/5*h**3 - 673/5*h**2 = 0. What is h?
-25, 0, 2/19, 1/2
Let w = -84/9805 - -10057/29415. Find v, given that 2/3 - w*v**2 - 1/3*v = 0.
-2, 1
Let g = 154 + -151. Factor 273*f + 71 - 33*f - 271 + 34*f**2 - 76*f**2 + 2*f**g.
2*(f - 10)**2*(f - 1)
Let b(z) = -33*z - 188. Let x be b(-6). Let y be (-2 - (-32)/x)*4/30. Factor -8/25*d**2 - 2/5*d - y - 2/25*d**3.
-2*(d + 1)**2*(d + 2)/25
Suppose -4*i + 3*j = 15, -216 = -3*i + 132*j - 155*j. Let 20/3*c**2 + 2/3*c**i + 34/3*c + 16/3 = 0. What is c?
-8, -1
Let i(p) = p**2 - p + 1. Let v(y) be the first derivative of 20*y**3/3 - 35*y**2/2 + 35*y + 3. Let u = 679 - 694. Let z(x) = u*i(x) + v(x). Factor z(o).
5*(o - 2)**2
Let y = 1/31761 - -127027/539937. Suppose -26/17*w**3 + 6/17*w**5 - 16/17*w**2 + y*w**4 + 0 + 8/17*w = 0. Calculate w.
-2, -1, 0, 1/3, 2
Let y be 4*6/48 - 2/(8/(-10)). Let m(l) be the first derivative of -19 + 2*l + 1/5*l**y - 17/10*l**2. Factor m(j).
(j - 5)*(3*j - 2)/5
Let y(k) be the third derivative of -1/30*k**6 + 0 + 123*k**2 + 0*k + 16/3*k**3 - 1/5*k**5 + k**4. Find z, given that y(z) = 0.
-4, -1, 2
Let y be (1 - 3)*(-2)/2. Suppose -8*m = -41 - 159. Factor 505*i - m*i**4 + 8*i**y + 8*i**2 - 5*i**3 - 509*i.
-i*(i + 1)*(5*i - 2)**2
Suppose 85 = -8*d + 25*d. Find f, given that 3*f**4 - 5738*f**2 + 5738*f**2 - d*f**3 + 2*f**4 = 0.
0, 1
Let u(o) be the second derivative of -o**6/75 + 967*o**5/25 - 208012*o**4/5 + 53915680*o**3/3 - 534179968*o**2/5 + 2*o - 390. Factor u(j).
-2*(j - 644)**3*(j - 2)/5
Suppose 286*m - 131 = 215*m + 11. Factor -z**3 - 1/5*z**5 + 0 + 6/5*z**4 + 0*z**m + 0*z.
-z**3*(z - 5)*(z - 1)/5
Factor 518420 - 212*g**2 - 230*g**2 + 2072*g**2 + 5*g**3 + 136045*g + 0*g**3.
5*(g + 4)*(g + 161)**2
Let r(k) be the second derivative of -k**8/47040 + k**7/1764 - k**6/180 + k**5/35 + 137*k**4/12 - 31*k. Let d(i) be the third derivative of r(i). Factor d(l).
-(l - 6)*(l - 2)**2/7
Factor 1404 - 120*n + 116*n**2 - 49*n**2 - 71*n**2.
-4*(n - 9)*(n + 39)
Let m be ((-13192)/13872 + 6/51)*(-6)/4. Determine x so that 1/8*x**3 + 1/8*x**2 - m*x + 1 = 0.
-4, 1, 2
Let q = -153021 + 153023. Factor -20/7 - 22/7*g - 2/7*g**q.
-2*(g + 1)*(g + 10)/7
Solve 1/9*g**3 - 25/3*g + 0 - 10/9*g**2 = 0.
-5, 0, 15
Let c = 9076 - 9074. Let y(t) be the first derivative of 5/2*t**4 + 3*t**5 + 5/6*t**6 - 10/3*t**3 - 15/2*t**c + 22 - 5*t. Factor y(j).
5*(j - 1)*(j + 1)**4
Factor -44/5 + 3*f - 1/5*f**2.
-(f - 11)*(f - 4)/5
Let z(p) be the third derivative of 5/2*p**3 + 0 - 1/6*p**5 + 5/24*p**4 + 4*p**2 + 5*p. Solve z(c) = 0.
-1, 3/2
Let u(l) be the first derivative of -3*l**5/5 - 15*l**4/2 - 24*l**3 - 33*l**2 - 21*l - 1741. Factor u(m).
-3*(m + 1)**3*(m + 7)
Let d be (47/517)/(3/99). Let x(z) be the first derivative of 1/34*z**4 - 35 + 49/17*z**2 - 28/51*z**d + 0*z. Factor x(b).
2*b*(b - 7)**2/17
Let q = 131 - 98. Suppose 82 = 7*u + q. Factor -4*o**4 - 4*o**2 - 12*o**5 + u*o**4 + 11*o**5.
-o**2*(o - 2)**2*(o + 1)
Let m(a) be the third derivative of a**6/540 + 5*a**5/54 + 67*a**4/54 - 160*a**3/27 + 1682*a**2 + a. Determine i, given that m(i) = 0.
-16, -10, 1
Let -632 - 314*f**2 - 2840/3*f + 2/3*f**3 = 0. What is f?
-2, -1, 474
Factor 3/8*f**5 + 33*f + 117/4*f**3 - 105/2*f**2 - 51/8*f**4 + 0.
3*f*(f - 11)*(f - 2)**3/8
Let w = -1/44238 + -264901/23313426. Let t = w - -4/31. Factor 16/17*l + 0 - 40/17*l**2 + 36/17*l**3 + t*l**5 - 14/17*l**4.
2*l*(l - 2)**3*(l - 1)/17
Let l(w) be the second derivative of -2*w + 0*w**2 - 9747/4*w**4 + 0 - 1/10*w**6 - 513/20*w**5 - 185193/2*w**3. Factor l(n).
-3*n*(n + 57)**3
Let k(z) be the first derivative of z**4/4 + 14*z**3/3 - 101*z**2/2 - 114*z + 6083. Determine r so that k(r) = 0.
-19, -1, 6
Let n(w) be the third derivative of 0 + 7*w - 2*w**4 + 1/15*w**5 - w**2 - 26/3*w**3. Factor n(g).
4*(g - 13)*(g + 1)
Let c be ((-2)/3*216/96)/(264/(-224)). Factor 2/11*h**3 + 28/11*h + 16/11 + c*h**2.
2*(h + 1)*(h + 2)*(h + 4)/11
Let r(y) be the third derivative of -y**7/1470 - 11*y**6/840 - 3*y**5/140 + 17*y**4/24 - 7*y**3/3 - 895*y**2. Factor r(o).
-(o - 2)*(o - 1)*(o + 7)**2/7
Solve -3/7*w**4 + 207/7*w - 129/7*w**2 + 0 - 75/7*w**3 = 0.
-23, -3, 0, 1
Let n(w) = -7*w - 1. Let t = 86 + -92. Let u(p) = p**2 - 10*p - 6. Let j(s) = t*n(s) + u(s). Factor j(d).
d*(d + 32)
Let v(g) be the first derivative of 0*g + 8/3*g**3 - 8/5*g**5 - 80 + g**4 - 2*g**2. Solve v(z) = 0 for z.
-1, 0, 1/2, 1
Let v(u) be the third derivative of 9/20*u**6 + 0 + 0*u**3 - 2*u + 1/105*u**7 - 11*u**2 + 81/10*u**5 + 243/4*u**4. Factor v(d).
2*d*(d + 9)**3
Let b(a) be the third derivative of -a**7/210 + 2*a**5/5 + 8*a**4/3 + 6*a**3 + 10*a**2. Let r(c) be the first derivative of b(c). Factor r(h).
-4*(h - 4)*(h + 2)**2
Suppose 2*k = 3*r + 161, 2*k + r - 160 = 3*r. Let t = 81 - k. Let 0*j**t + 3/7*j**3 + 6/7 - 9/7*j = 0. Calculate j.
-2, 1
Let m(t) be the second derivative of t**5/230 + 3*t**4/23 - 5*t**3/3 + 303*t. What is z in m(z) = 0?
-23, 0, 5
Let w(n) be the first derivative of -n**9/756 - n**8/210 + 11*n**3/3 - 5*n**2/2 + 117. Let a(s) be the third derivative of w(s). Suppose a(x) = 0. What is x?
-2, 0
Let a(j) = -j**5 + j**4 + j**3 + j**2 + 2*j. Let i(g) = -3*g**5 + 10*g**4 - 444*g**3 + 4218*g**2 - 13369*g + 9604. Let z(s) = 20*a(s) - 5*i(s). Factor z(l).
-5*(l - 7)**3*(l - 1)*(l + 28)
Let s(n) = 219*n + 277. Let d be s(8). Let o = 2031 - d. Solve -26/11*q - 72/11*q**3 - 96/11*q**o - 2/11 = 0 for q.
-1, -1/6
Let o(t) = 78*t - 6. Let q(j) = 155*j - 11. Let r(d) = -5*o(d) + 3*q(d). Let i(p) = -p**2 + 153*p - 5. Let g(m) = 3*i(m) - 5*r(m). Let g(v) = 0. What is v?
0, 28
Let j(i) be the second derivative of 0 + 22/3*i**3 - 52*i - 4*i**2 - 3*i**5 + 6/5*i**6 - 11/3*i**4. Factor j(v).
4*(v - 2)*(v + 1)*(3*v - 1)**2
Let p(i) = 2*i**3 - 13*i**2 - 6*i - 5. Let k(d) = d**3 - 6*d**2 - 4*d + 31. Let l be k(6). Let a be p(l). Solve -2/5 + 0*z + 2/5*z**a = 0.
-1, 1
Suppose