*4/2 + 144*h**3 + 5184*h**2 - h + 711. Suppose q(c) = 0. Calculate c.
-6, 24
Let u(i) = -4*i**2 - 40*i - 28. Let g(t) = 302*t**2 + 147*t - 303*t**2 - 153*t - 1. Let x(l) = -2*g(l) + u(l). Factor x(q).
-2*(q + 1)*(q + 13)
Let z = 5978 - 5976. Let g(i) be the first derivative of -26 - 2*i**z - 16/3*i**3 + i**4 + 16*i. Factor g(v).
4*(v - 4)*(v - 1)*(v + 1)
Find j such that -202 + 264*j**3 - 2150*j + 15*j**4 + 2318*j + 597*j**2 + 22 = 0.
-15, -2, -1, 2/5
Let y be (-3)/4*((-6)/(-11) + 145/(-165)). Let n(a) be the second derivative of 10*a + 3/20*a**5 - 1/2*a**3 + 0 + 3/2*a**2 - y*a**4. Factor n(p).
3*(p - 1)**2*(p + 1)
Suppose 54*x - 79 = 66 + 17. Let t(d) be the first derivative of -5/3*d**x - 5*d - 45 + 5*d**2. Factor t(v).
-5*(v - 1)**2
Let y(n) = 20*n**5 - 32*n**4 - 68*n**3 + 8*n - 8. Let r(g) = 7*g**5 - 10*g**4 - 23*g**3 + 3*g - 3. Let v(m) = 8*r(m) - 3*y(m). Factor v(s).
-4*s**3*(s - 5)*(s + 1)
Solve 976 - 60*o**3 + 28*o**4 + 952 + 32*o**2 - 1928 = 0 for o.
0, 1, 8/7
Let d(n) be the third derivative of 11*n**6/160 - 79*n**5/80 - 79*n**4/8 + 15*n**3/2 - 6713*n**2. Solve d(r) = 0.
-3, 2/11, 10
Let t(p) = -12*p - 14. Let a be t(3). Let r = a + 53. Find f such that 4 + 4 - 8*f**2 + 2*f**r + 3*f + 7*f - 12 = 0.
1, 2
Let c be 8/10*6/16*(-5540)/(-831). Let u(i) be the first derivative of -9/7*i**c - 3/28*i**4 + 5/7*i**3 + 0*i + 25. Factor u(d).
-3*d*(d - 3)*(d - 2)/7
Suppose 8 = -n + 4*g, 0*g + 3*g = -2*n + 39. Let h(t) be the first derivative of 4*t**2 + 2 + 7*t**2 - t**2 - 4*t**2 + n*t + t**3. Factor h(f).
3*(f + 2)**2
Let k(a) = -a + 22. Let z(t) = 3*t - 45. Let f(x) = -7*k(x) - 3*z(x). Let v be f(-14). Factor -87 + 3*y**2 + v*y + 87.
3*y*(y + 3)
Let p(y) be the second derivative of -2456500*y**7/189 + 956590*y**6/27 - 439739*y**5/18 - 27883*y**4/12 - 84*y**3 - 3*y**2/2 + 3605*y. Factor p(d).
-(d - 1)**2*(170*d + 3)**3/9
Let m(r) be the third derivative of r**5/90 - 73*r**4/18 + 235*r**3/3 - 3095*r**2. Factor m(o).
2*(o - 141)*(o - 5)/3
Suppose 24*l**2 + 4*l + 340*l - 6*l**3 + 87*l + 17*l + 2*l**3 = 0. What is l?
-8, 0, 14
Let g(w) be the first derivative of w**5/5 - 31*w**4 - 84*w**3 + 596. Find p, given that g(p) = 0.
-2, 0, 126
Let n(s) be the first derivative of -864*s**3 - 39 + 0*s**2 + 36*s**4 + 0*s - 2/5*s**5. Solve n(k) = 0 for k.
0, 36
Determine o, given that 3*o**2 + 0*o**3 - 2948*o**5 - 9*o**3 - 5*o**3 + 24*o + 2950*o**5 - 16 + o**2 = 0.
-2, 1, 2
Let b be (-1 - (-14)/(-12))*12*4/(-156). Let 2/3*u**4 + 4/3*u**3 + b - 2/3*u**5 - 2/3*u - 4/3*u**2 = 0. Calculate u.
-1, 1
Determine u, given that 154/5*u + 0 + 6/5*u**3 + 464/5*u**2 = 0.
-77, -1/3, 0
Let c(v) = -70*v**2 + 315*v - 65. Let d(r) = -35*r**2 + 158*r - 32. Let o(t) = -8*c(t) + 15*d(t). Suppose o(a) = 0. What is a?
2/7, 4
Let q = 13291127/7 - 1898732. Factor q*g**2 - 2/7*g - 1/7*g**3 + 0.
-g*(g - 2)*(g - 1)/7
Let p(t) be the first derivative of -t**6/10 - 66*t**5/25 - 423*t**4/20 - 44*t**3 - 30*t**2 - 2862. Factor p(u).
-3*u*(u + 1)**2*(u + 10)**2/5
Let y(c) = -c**3 + 12*c**2 + 3*c - 32. Let z be y(12). Let h(j) be the first derivative of 20*j**4 - 2*j**2 + 33 + 14*j**z - 33*j**4. Factor h(d).
4*d*(d - 1)*(d + 1)
Let q(m) be the third derivative of -m**6/600 + 17*m**5/75 + 71*m**4/120 - 23*m**3/5 + 1159*m**2. Let q(k) = 0. Calculate k.
-2, 1, 69
Let o be -3 + 3*3/(-12)*-12. Factor -12*k**4 - o*k**2 + 1194 + 3*k**5 - 597 - 36*k**3 + 33*k - 579.
3*(k - 6)*(k - 1)*(k + 1)**3
Let u(j) = -j**2 - 5. Let f(n) = 9*n**2 - 204*n + 6*n**2 + 5883 - 631 - 4*n**2 + n**2. Let s(p) = -f(p) - 10*u(p). Let s(k) = 0. Calculate k.
51
Let w = 256497/2 + -128248. Factor 0 - 1/2*f**3 + 0*f**2 - w*f**4 + 0*f.
-f**3*(f + 1)/2
Let l(t) be the first derivative of -130 - 1/12*t**2 + 1/18*t**3 + 0*t. Factor l(z).
z*(z - 1)/6
Let z(a) be the third derivative of -289*a**7/42 + 935*a**6/24 - 131*a**5/2 + 185*a**4/6 - 20*a**3/3 + 1472*a**2. Suppose z(s) = 0. What is s?
2/17, 1, 2
Let b = 738893/3 - 246297. Determine p so that 24*p**2 + 10*p**3 - 32 - 8/3*p + b*p**4 = 0.
-12, -2, 1
Let 317063*n**3 - 128*n**4 + 4*n**5 + 164*n - 544 + 262*n**2 + 396*n + 130*n**2 - 317347*n**3 = 0. Calculate n.
-2, 1, 34
Factor -2/3*f - 224/3 + 1/3*f**2.
(f - 16)*(f + 14)/3
Let z(g) = 2*g**4 + 2*g**3 + 1. Let u(k) = 33*k**4 + 1017*k**3 + 80685*k**2 - 81675*k + 15. Let o(j) = u(j) - 15*z(j). Factor o(c).
3*c*(c - 1)*(c + 165)**2
Let k(t) be the first derivative of -t**3/6 - 4029*t**2/2 - 16232841*t/2 + 3925. What is m in k(m) = 0?
-4029
Let k(f) be the first derivative of 5*f**4/12 + 20*f**3/3 + 30*f**2 - 244*f + 216. Let p(m) be the first derivative of k(m). Factor p(j).
5*(j + 2)*(j + 6)
Suppose 5*u = u + 148. Let u*p**4 - 20*p**4 - 21*p**4 + 16*p**3 - 20*p**2 + 0*p**2 + 8*p = 0. Calculate p.
0, 1, 2
Let d(v) = -v**2 + 182*v - 5573. Let l be d(39). Factor 2/9*c**l - 46/9 + 136/9*c - 44/3*c**2 + 40/9*c**3.
2*(c - 1)**3*(c + 23)/9
Suppose -4*q = -5*k - 14, 5*q - 159 = k - 131. Factor 0*r**3 + 2/3*r**5 + 4/3*r**4 + 0 - 4/3*r**k - 2/3*r.
2*r*(r - 1)*(r + 1)**3/3
Suppose w + 3*w - 992 = 0. Suppose 3*g - g = w. Factor -c**2 - 6*c**3 - 116*c**4 + g*c**4 - c**2.
2*c**2*(c - 1)*(4*c + 1)
Let q(l) be the first derivative of -2*l**5/5 + 6*l**4 - 6*l**3 - 22*l**2 + 3010. Suppose q(h) = 0. Calculate h.
-1, 0, 2, 11
Suppose 0 = 20*l - 13*l - 518. Suppose 0 = z, p - 4*z + 4 = 6. Suppose -35*o - 2*o**p - 35*o + 4 + l*o + 12 = 0. What is o?
-2, 4
Factor -5*u**4 + 324*u**3 + 116*u - 113*u - 11*u**2 - 311*u**3.
-u*(u - 1)**2*(5*u - 3)
Let g be ((-2)/(-8))/((-4)/(-64)). Let 159*x**3 + x**g - 6*x**4 - 161*x**3 = 0. What is x?
-2/5, 0
Let q(f) be the third derivative of -f**5/12 - 115*f**4/8 - 1085*f**3/3 - 2479*f**2. Let q(b) = 0. What is b?
-62, -7
Suppose 15/8*k**4 - 9/2*k**3 + 0 - 3/4*k + 27/8*k**2 = 0. Calculate k.
0, 2/5, 1
Let p(k) be the second derivative of 1/4*k**4 + 0 - 21*k - 1/2*k**3 + k**2. Let i(o) = -14*o**2 + 14*o - 11. Let a(f) = 2*i(f) + 11*p(f). Factor a(l).
5*l*(l - 1)
Suppose -29*i = -31*i - 34. Let h be 33/3 + (i - -8). Factor 0*f + 1/4*f**h + 5/8*f**3 + 0 - 7/8*f**4.
-f**2*(f - 1)*(7*f + 2)/8
What is a in -536*a**2 + 15*a + 1043*a**2 + 9 + 8 - 532*a**2 + 5*a**3 + 28 = 0?
-1, 3
Let l(o) be the third derivative of -3*o**6/280 + 37*o**5/35 - 145*o**4/42 + 32*o**3/7 - 874*o**2 + 5*o. What is x in l(x) = 0?
2/3, 48
Let m(b) be the third derivative of -5*b**8/336 - b**7/70 + 27*b**6/20 + 59*b**5/15 - 5*b**4 - 219*b**2. Let m(d) = 0. What is d?
-5, -2, 0, 2/5, 6
Let q = 2746 - 1998. Let d = 752 - q. Suppose -15/7 - 6*u + 3/7*u**d - 36/7*u**2 - 6/7*u**3 = 0. Calculate u.
-1, 5
Suppose 52*t - 157 = 6*t + 27. Let y(h) be the second derivative of 0*h**2 - 1/66*h**t - 2/33*h**3 + 10*h + 1/110*h**5 + 0. Determine x so that y(x) = 0.
-1, 0, 2
Suppose -161 = 37*i + 135. Let f be (-80)/(-32)*i/(-10). Factor -8/7*h**f + 10/7*h + 2/7*h**3 - 4/7.
2*(h - 2)*(h - 1)**2/7
Suppose 792 = 14*m - 5*m. Let f = m + -84. Solve -f*w**2 + 0*w**5 + 9*w**3 + 5*w**2 - 3*w**5 + 5*w**2 = 0 for w.
-1, 0, 2
Let l = 20647340/19 + -1086702. Let 16/19 - l*a**2 + 4/19*a = 0. What is a?
-2, 4
Find q, given that 4*q**2 - 32*q**2 - 42*q + 8*q**2 + 19*q**2 - 372 - q = 0.
-31, -12
Let k(c) be the first derivative of c**4/2 + 272*c**3/3 - 275*c**2 + 276*c - 4624. Factor k(j).
2*(j - 1)**2*(j + 138)
Let q be ((-30)/9 - -4)*(-33)/(-2) - 6. Let u(y) be the third derivative of 0*y**3 + q*y**2 + 0 - 1/40*y**5 - 1/16*y**4 + 0*y. Solve u(s) = 0 for s.
-1, 0
Let c(v) be the first derivative of v**4/2 + 14*v**3/3 - 40*v**2 + 88*v - 9440. Let c(n) = 0. Calculate n.
-11, 2
Let s(g) be the first derivative of 2*g**5/5 - 25*g**4/2 + 44*g**3 + 4584. Factor s(n).
2*n**2*(n - 22)*(n - 3)
Let j(z) = -2*z**2 - 98*z - 92. Let q be j(-48). Find s, given that 1604*s**2 + 4*s**3 - s**5 - 3*s**3 - 1602*s**2 - s**q - s**4 = 0.
-2, -1, 0, 1
Let g(z) = 2*z**3 + 316*z**2 - 1860*z + 2756. Let f(j) = 6*j**3 + 631*j**2 - 3723*j + 5513. Let y(d) = 2*f(d) - 5*g(d). Factor y(s).
2*(s - 153)*(s - 3)**2
Let z(s) be the second derivative of -3*s**5/140 + 9*s**4/4 - 228*s**3/7 + 1320*s**2/7 - 250*s - 2. Factor z(y).
-3*(y - 55)*(y - 4)**2/7
Let t(d) be the second derivative of -d**6/10 - 9*d**5/20 + d**4/4 + 3*d**3/2 + 1610*d. Suppose t(h) = 0. What is h?
-3, -1, 0, 1
Suppose -53*d - 6 = -55*d. Suppose d*u - 2