**2 + 44*h**3 = 0. Calculate h.
0, 2/7, 1
Suppose 3*i - 6*i + 2*i = 0. Suppose -2*y**3 + y**2 + 7*y**3 + 4*y**2 + i*y**3 = 0. What is y?
-1, 0
Factor 40*d**3 + 2*d**3 - 28*d - 88*d**2 + 12*d**3 - 8*d**4 - 122*d**3.
-4*d*(d + 1)*(d + 7)*(2*d + 1)
Let a be ((-5424)/(-32))/((-3)/(-4)). Let l = a - 2936/13. Factor -2/13*s + l*s**2 - 4/13.
2*(s - 2)*(s + 1)/13
Let k(t) be the second derivative of -t**4/12 + t**3 + 8*t**2 + 16*t + 2. Factor k(u).
-(u - 8)*(u + 2)
Let g = -306/5 - -62. Let s = -45023 + 45023. Determine c, given that s + g*c - 2*c**3 + 6/5*c**5 + 2*c**2 - 2*c**4 = 0.
-1, -1/3, 0, 1, 2
Factor 0*v**2 - 2/7*v**4 + 0*v + 6/7*v**3 + 0.
-2*v**3*(v - 3)/7
Let s(a) be the second derivative of -a**7/105 - a**6/75 + a**5/50 + a**4/30 + 3*a + 35. Factor s(q).
-2*q**2*(q - 1)*(q + 1)**2/5
Let k(z) be the first derivative of z**6/2340 - z**5/130 + 5*z**4/156 - 7*z**3 + 4. Let p(r) be the third derivative of k(r). Solve p(f) = 0.
1, 5
Let w be 6/9 - -586*3/(-1530). Let k = 15/17 + w. Determine j so that -k*j**3 + 0*j + 0 + 2/5*j**4 + 0*j**2 = 0.
0, 1
Let g(y) be the second derivative of -y**6/270 - y**5/90 + 5*y**3/3 + 11*y. Let c(s) be the second derivative of g(s). Factor c(k).
-4*k*(k + 1)/3
Suppose 3*s - 5*k = 28 - 3, 27 = 5*s - k. Let -90*l**4 - 27*l**s - 2*l**2 - 84*l**3 - 2*l**2 - 20*l**2 = 0. Calculate l.
-2, -2/3, 0
Suppose -3*f = -0*f - 2*f. Let t(d) be the second derivative of -1/15*d**6 + f + 0*d**3 + 1/21*d**7 + 0*d**4 + 0*d**5 - 2*d + 0*d**2. What is r in t(r) = 0?
0, 1
Factor 1/4*f**5 + 0 - 3/4*f**3 + 0*f**4 + 0*f + 1/2*f**2.
f**2*(f - 1)**2*(f + 2)/4
Factor 3*t**5 + 179*t**3 + 22*t**2 - 191*t**3 - 9*t**4 + 14*t**2.
3*t**2*(t - 3)*(t - 2)*(t + 2)
Let t be (-65)/(-300) + (-9)/45. Let z(v) be the second derivative of -1/6*v**2 + 1/36*v**4 - t*v**5 + 0 + 8*v + 1/18*v**3. Determine p, given that z(p) = 0.
-1, 1
Let b(r) = -12*r**3 + 76*r**2 + 176*r - 144. Let k(j) = 18*j**2 + 16*j**2 + 5*j - 27*j**2 - j**3 - 13 + 11*j. Let p(f) = -3*b(f) + 32*k(f). Factor p(q).
4*(q - 2)*(q - 1)*(q + 2)
Let i = 7286/1920219 - -4/4497. Let n = 368/427 - i. Factor -2/7*z**2 - 4/7 - n*z.
-2*(z + 1)*(z + 2)/7
Suppose -3*v + 6 = -2*g, -5*g - 3*v - 40 = -67. Let t(m) be the first derivative of 2/3*m**3 - 3/2*m**4 - 2*m + g*m**2 - 5. Factor t(j).
-2*(j - 1)*(j + 1)*(3*j - 1)
Let d(b) be the second derivative of -b**7/21 + 4*b**6/5 - 3*b**5 + 14*b**4/3 - 3*b**3 + 171*b. Suppose d(p) = 0. Calculate p.
0, 1, 9
Suppose -5*d + 3*o = -d, 5*o = 0. Suppose d = -4*f - f. Determine b so that b**3 + 2*b + f - 2*b**2 + 2 - 3*b = 0.
-1, 1, 2
Suppose -5*a = 5*z - 40, -4*z + 2*z + 4 = 0. Find f, given that a*f**4 + f**2 + f**2 - 3*f**3 - 5*f**2 = 0.
-1/2, 0, 1
Let b(t) = t**2 - 6*t + 9. Let p be b(5). Suppose -9*s + 4*s + p*s**3 - 4*s**2 - 3*s = 0. What is s?
-1, 0, 2
Let h(g) be the second derivative of -g**8/40320 - g**7/7560 - g**6/4320 - 7*g**4/6 - 16*g. Let n(m) be the third derivative of h(m). Factor n(x).
-x*(x + 1)**2/6
Let r(s) = -24 + 12*s + 4*s**3 + 11 + 9 - 6*s**2. Let p(z) = -13*z**3 + 17*z**2 - 37*z + 12. Let t(m) = 4*p(m) + 14*r(m). Determine f, given that t(f) = 0.
1, 2
Suppose 5*h = 5*l + 235, -l = -3*h + 3*l + 136. Let k = h + -50. Factor 0*v + 1/2*v**k - 3/4*v**3 + 0.
-v**2*(3*v - 2)/4
Factor -6144 - 2/3*l**2 + 128*l.
-2*(l - 96)**2/3
Factor 19/8*c**2 - 1/8*c**3 + 81/8 - 99/8*c.
-(c - 9)**2*(c - 1)/8
Let k = -20 - -59. What is j in -k*j + 11*j + 12*j - 2*j**2 - 24 = 0?
-6, -2
Let a(z) = z**3 - 11*z**2 + 22*z - 33. Let s be a(9). Find o, given that 2/7*o**s + 0 - 8/7*o**4 + 0*o + 4/7*o**2 - 6/7*o**5 = 0.
-1, 0, 2/3
Let s = 1212 - 1211. Let y be 2/7 + 38/14. Determine n, given that 9/2*n + 11/2*n**y - 3/2*n**4 - s - 15/2*n**2 = 0.
2/3, 1
Let t be (6/10)/(-1) - (-273)/105. Let m(o) be the third derivative of -1/420*o**5 + t*o**2 + 0 + 0*o**3 + 0*o + 1/168*o**4. Determine p, given that m(p) = 0.
0, 1
Let j(w) be the third derivative of -w**6/360 - w**5/90 + w**4/24 - 213*w**2. Factor j(c).
-c*(c - 1)*(c + 3)/3
Suppose 479 = 91*q + 297. Solve -1/8*d**q + 7/4 - 5/8*d = 0 for d.
-7, 2
Factor 2/9 + 1/9*v - 1/9*v**3 - 2/9*v**2.
-(v - 1)*(v + 1)*(v + 2)/9
Let r(y) be the first derivative of 0*y**2 + 5/3*y**3 + 0*y + 23 + 5/2*y**4 + y**5. Factor r(z).
5*z**2*(z + 1)**2
Let g = 7571/5 + -1509. Let l = g - 5. Determine r so that -l*r**2 - 2/5*r - 1/5 = 0.
-1
Let j = 23041/24 - 960. Let n(i) be the first derivative of -1/6*i + j*i**4 + 3 - 1/6*i**3 + 1/4*i**2. Factor n(d).
(d - 1)**3/6
Let i(n) be the first derivative of -n**5 + 15*n**4/4 + 20*n**3/3 - 198. Factor i(c).
-5*c**2*(c - 4)*(c + 1)
Let f(w) be the third derivative of -w**5/180 + 5*w**4/18 - 19*w**3/18 - 115*w**2. Suppose f(p) = 0. What is p?
1, 19
Factor -237*j - 18*j**2 + 2*j**2 + 19*j**2.
3*j*(j - 79)
Let u(o) be the first derivative of -7 + 0*o + 0*o**4 + 1/6*o**3 - 3*o**2 - 1/60*o**5. Let y(h) be the second derivative of u(h). Factor y(x).
-(x - 1)*(x + 1)
Suppose 404/3*r + 2/3*r**2 + 134 = 0. Calculate r.
-201, -1
Let g be (-8)/12 - 55/3. Let p = -16 - g. Factor -o**3 + 0*o**4 + p - 3 + o**4.
o**3*(o - 1)
Let i(f) be the second derivative of f**6/24 - f**5/12 + 10*f**2 - 20*f. Let l(m) be the first derivative of i(m). Solve l(u) = 0 for u.
0, 1
Let u(b) = 3*b**4 + 129*b**3 - 318*b**2 + 201*b + 15. Let n(w) = w**4 + 32*w**3 - 79*w**2 + 50*w + 4. Let d(p) = -15*n(p) + 4*u(p). Factor d(m).
-3*m*(m - 9)*(m - 2)*(m - 1)
Let c(d) be the third derivative of -d**6/540 + d**5/45 - d**4/12 - 7*d**3/6 - 9*d**2. Let a(v) be the first derivative of c(v). Suppose a(x) = 0. What is x?
1, 3
Let p(n) be the third derivative of -17/20*n**6 + 3*n + 58/315*n**7 + 0 - 1/63*n**8 + 83/45*n**5 - 11/9*n**4 - 8/3*n**3 - 2*n**2. Suppose p(c) = 0. Calculate c.
-1/4, 3/2, 2
Let m(r) be the third derivative of r**10/10080 + r**9/2520 - r**7/420 - r**6/240 + r**4/4 + 7*r**2. Let y(w) be the second derivative of m(w). Solve y(t) = 0.
-1, 0, 1
Find b, given that 20/9*b**2 + 40/9 + 58/9*b + 2/9*b**3 = 0.
-5, -4, -1
Let a(q) = -2*q**2 + q - 3. Let b(v) = v**2 + v + 2. Let u(s) = 5*a(s) + 15*b(s). What is m in u(m) = 0?
-3, -1
Let w(o) be the first derivative of o**6/27 + 52*o**5/45 + 28*o**4/3 - 52*o**3/27 - 169*o**2/9 - 89. What is r in w(r) = 0?
-13, -1, 0, 1
Let 15/4*p + 15/4*p**2 - 15/4*p**3 - 3/2 - 9/4*p**4 = 0. Calculate p.
-2, -1, 1/3, 1
Let v(i) = i. Let j(m) = m. Let p(b) = 4*j(b) - 3*v(b). Let k(q) = 0 - 1 - 1 + 3 + q**2. Let n(y) = k(y) - 2*p(y). Factor n(h).
(h - 1)**2
Let u be (-26)/((-14)/(-7)) - -11 - (-22)/5. What is f in -u*f**4 + 0 + 0*f - 8/5*f**3 + 0*f**2 - 4/5*f**5 = 0?
-2, -1, 0
Let l = -5/4 - -53/36. Let y be ((-40)/(-16))/((-1)/(-2)). Factor l - 4/9*k**3 + 2/9*k**y + 2/9*k**4 - 4/9*k**2 + 2/9*k.
2*(k - 1)**2*(k + 1)**3/9
Let p(q) = -57*q**3 - 465*q**2 + 927*q + 33. Let t(a) = -7*a**3 - 58*a**2 + 116*a + 4. Let d(f) = 4*p(f) - 33*t(f). Let d(v) = 0. Calculate v.
-20, 0, 2
Let z(x) be the second derivative of -3*x**6/10 - 3*x**5/5 - 203*x. Let z(l) = 0. What is l?
-4/3, 0
Let q(i) be the second derivative of 45*i + 2/3*i**3 - 3/2*i**2 + 0 - 1/12*i**4. Solve q(f) = 0.
1, 3
Let g = -2/215 - -79/3870. Let k(n) be the third derivative of 3*n**2 + 0 + g*n**5 + 0*n - 1/18*n**4 + 1/9*n**3. Factor k(t).
2*(t - 1)**2/3
Determine a so that -1/6*a**2 - 529/6 - 23/3*a = 0.
-23
Let a = -1216/7565 + -6/1513. Let u = 4/17 - a. Factor u - 4/5*k + 2/5*k**2.
2*(k - 1)**2/5
Let t(j) be the first derivative of 14*j**5/25 + j**4/5 - 8*j**3/5 - 2*j**2/5 + 2*j + 118. Determine a so that t(a) = 0.
-1, 5/7, 1
Factor -4*d**3 + 34*d + 31*d - 45*d**2 + 9*d**2 - 11*d + 80 - 6*d.
-4*(d - 2)*(d + 1)*(d + 10)
Let o(x) = 2*x**3 + 12*x**2 - 25*x - 73. Let q be o(-7). Determine d so that -5/4*d**3 + 7/4*d**2 + 1/4*d**q + 0 - 3/4*d = 0.
0, 1, 3
Let v(j) = -3*j - 42. Let s be v(-17). Factor -15*f**4 + 2*f**5 + s*f**3 + f**5 + 3*f**4 + 3*f**3.
3*f**3*(f - 2)**2
Let o(h) be the second derivative of -2*h + 1/6*h**4 + 1/5*h**2 - 2/25*h**6 - 11/30*h**3 + 11/100*h**5 + 0. Let o(j) = 0. Calculate j.
-1, 1/4, 2/3, 1
Let i(q) = 4*q**3 + 2*q**2 + 3*q + 1. Let o be i(-1). Let b be (o + 210/54)*4/(-2). Factor 2/9 - 2/9*x**3 - 2/9*x**2 + b*x.
-2*(x - 1)*(x + 1)**2/9
Suppose 165*t - 161*t + 4*h + 20 = 0, 2*t + 25 = -5*h. Factor t + 1/2*k**4 + 7/2*k**3 + 9/2*k + 