7 + 27*c - 45*c**2 + 21*c**2 + c**3. Let l be r(15). Let 0 - 4/9*u**l - 2/9*u**3 + 2/3*u = 0. Calculate u.
-3, 0, 1
Let q(i) = -i**3 + i**2 - i + 3. Let s(f) = -10*f**3 - 810*f**2 + 4054*f + 1434. Let p(w) = 2*q(w) + s(w). Factor p(t).
-4*(t - 5)*(t + 72)*(3*t + 1)
Suppose -59*h = -3*h - 224. Let n(j) be the second derivative of -5/8*j**2 + 0*j**3 + 5/48*j**h + 8*j + 0. Determine g so that n(g) = 0.
-1, 1
Let t(l) be the second derivative of l**4/30 + 32*l**3/3 + 316*l**2/5 - 28*l. Let t(i) = 0. What is i?
-158, -2
Let m be 1515/9 - (2/6 - 0). Suppose 15*w = m - 138. Factor 14/15*s**4 - 38/15*s**3 - 32/15*s + 8/15 + 10/3*s**w - 2/15*s**5.
-2*(s - 2)**2*(s - 1)**3/15
Suppose 2*x = 5*r - 16, -r = -3*r + 8. Factor 0*o**2 - 2*o**x - 1352 + 13953*o - 13849*o.
-2*(o - 26)**2
Let h be 338*5*7/70. Determine f so that -625*f**3 + 337*f**5 - 184*f**5 + 128 - 232*f**4 - h*f**5 + 992*f + 1778*f**2 = 0.
-8, -1/4, 2
Suppose 11*n - 4*n = 56. Suppose n*i - 63 = 5*i. Factor -7 - 17 - 22*z**2 - 3*z**4 - i*z**3 - 14*z**2 - 60*z - 18*z**2.
-3*(z + 1)*(z + 2)**3
Let r(c) be the first derivative of -c**4/38 - 34*c**3/57 - 14*c**2/19 + 64*c/19 - 1535. Factor r(u).
-2*(u - 1)*(u + 2)*(u + 16)/19
Suppose 0 = 8*g - 32. Factor -6*w + 12*w**2 - w**5 + 12*w + 7*w**3 - 25*w**2 + w**g.
-w*(w - 2)*(w - 1)**2*(w + 3)
Let t(o) = -144*o**4 - 1044*o**3 + 2588*o**2 + 140*o. Let k(f) = f**4 - 5*f**2 - f. Let n(h) = 4*k(h) - t(h). Find g such that n(g) = 0.
-9, -2/37, 0, 2
Let m(d) be the second derivative of d**6/15 + 8*d**5/5 + 41*d**4/6 + 26*d**3/3 - 1144*d - 2. Determine y, given that m(y) = 0.
-13, -2, -1, 0
Suppose -18 = -5*w + 7. Suppose -4*u = -u - 2*x - 106, 177 = w*u - 3*x. Let 3*z + 2*z + 24*z**4 + 18*z**2 - 2*z + u*z**3 = 0. Calculate z.
-1/2, 0
Factor 1/3*v**2 + 415/3 - 416/3*v.
(v - 415)*(v - 1)/3
Let y be 1/(-5)*-6*(-24435)/(-9774). Suppose -4/5*a**y - 12/5*a - 12/5*a**2 - 4/5 = 0. What is a?
-1
Let m(y) = -4*y**3 - 374*y**2 + 3961*y - 11664. Let n(x) = -x**3 - 124*x**2 + 1322*x - 3888. Let u(c) = -2*m(c) + 7*n(c). Factor u(i).
(i - 108)*(i - 6)**2
Let c(f) be the third derivative of -f**6/120 - 21*f**5/80 + 7*f**4/2 - 10*f**3/3 - 160*f**2 - 3*f. Factor c(w).
-(w - 4)*(w + 20)*(4*w - 1)/4
What is v in 211/4 - 3/4*v**2 - 158*v = 0?
-211, 1/3
Let o(u) be the third derivative of 0 - 24*u - 1/60*u**5 + 1/630*u**7 - 1/120*u**6 + 1/3*u**3 + 7/72*u**4 - 2*u**2. Suppose o(t) = 0. What is t?
-1, 2, 3
What is w in -6914/3*w + 4/3*w**2 + 1152 = 0?
1/2, 1728
Let v(f) = -3204*f**3 - 6536*f**2 - 336*f + 20. Let n(r) = 458*r**3 + 934*r**2 + 48*r - 3. Let s(c) = 20*n(c) + 3*v(c). Factor s(o).
-4*o*(o + 2)*(113*o + 6)
Let p(n) be the second derivative of n**5/210 - 11*n**4/14 + 363*n**3/7 + 98*n**2 - 26*n. Let q(w) be the first derivative of p(w). Factor q(r).
2*(r - 33)**2/7
Suppose 76 = 2*p + 3*m, -43 = -2*p - m + 25. Factor 51*o**2 - 5*o**3 + p*o**2 - 7306*o + 1891*o + 34295 + 58*o**2 + 144*o**2.
-5*(o - 19)**3
Let v(t) = 28*t**3 + 20*t**2 - 16*t + 112. Let f(j) = -2*j**3 - 2*j**2 + j - 6. Let o(z) = 16*f(z) + v(z). Let o(n) = 0. What is n?
-2, 1
Let z(o) = -47*o**2 - 237*o + 236. Let w(j) = 195*j**2 + 950*j - 945. Let f(d) = -6*w(d) - 25*z(d). Let f(n) = 0. What is n?
-46, 1
Solve 9731*y**2 + 1920*y**3 + 5*y**5 + 2522 - 680*y**4 + 11275*y + 1468 + 159*y**2 = 0.
-1, 6, 133
Suppose 54 = 1102*g - 1085*g + 20. Find i, given that 2/3*i**g + 4/3 + 18/5*i = 0.
-5, -2/5
Let q(f) be the second derivative of -22*f**6/15 + 131*f**5/5 - 373*f**4/3 + 458*f**3/3 + 48*f**2 - 2460*f. Determine m, given that q(m) = 0.
-1/11, 1, 3, 8
Let a = -56 - -58. Suppose 0 = -2*y + h + 11, 3*h + 3 = -a*y - 2*y. Factor 0*i + 56*i**y - 2*i**2 - 58*i**3 + 8 + 8*i.
-2*(i - 2)*(i + 1)*(i + 2)
Let u(f) = 8*f**2 - 7*f - 6. Let m be u(-4). Suppose m = k + 5*k. Suppose 20*g**4 + k*g**3 - g**2 + 6*g**2 + 5*g**2 + 5*g**5 = 0. What is g?
-2, -1, 0
Let v = -10244158/141 + 72654. Let w = v - -2/705. Let -2/5*t**2 + w*t + 0 = 0. What is t?
0, 1
Let x be 14 - (-62 + (-5600)/(-75)). Suppose 2/3 - 5/6*t**4 - 7/6*t**3 + x*t - 1/6*t**5 + 1/6*t**2 = 0. Calculate t.
-2, -1, 1
Factor -320*x - 1/3*x**3 + 81*x**2 + 956/3.
-(x - 239)*(x - 2)**2/3
Solve -189*y**4 - 91*y**3 - 82*y**3 - 40*y**3 + 162*y**2 + 45*y**3 + 165*y**5 + 3*y + 27*y**4 = 0.
-1, -1/55, 0, 1
Let q(j) = 25*j**2 + 19*j - 71. Let f be q(4). Let n = f - 1983/5. Factor -n*p**2 + 12/5 - 6*p.
-6*(p + 1)*(7*p - 2)/5
Let m(c) be the second derivative of c**6/30 - c**5/15 - 8*c**4/3 + 32*c**3/3 + 14*c**2 + 221*c. Let u(s) be the first derivative of m(s). Factor u(z).
4*(z - 4)*(z - 1)*(z + 4)
Let v = -247/30 + 42/5. Let l = 39163/3 - 13054. Factor v*q**2 - l - 1/6*q.
(q - 2)*(q + 1)/6
Let a = -394 - -397. Factor -87*p + 6*p**2 - 2*p**a + 0*p**3 + 38*p + 45*p.
-2*p*(p - 2)*(p - 1)
Let y = -389 - -392. Solve -1093*w**3 + 38 + 234*w**4 - 30 + 496*w + 162*w**5 + 584*w**2 + 56 - 447*w**y = 0 for w.
-4, -2/9, 1, 2
Let a = -259 + 279. Factor -448*u**4 - 45*u**2 - 55*u - 459*u**4 - 5*u**3 + 912*u**4 - a.
5*(u - 4)*(u + 1)**3
Let a be (-21 + 1178/57)*-69. Let n(f) be the second derivative of 14/3*f**3 + 0 + a*f + 1/10*f**5 + 7/6*f**4 + 8*f**2. Suppose n(t) = 0. What is t?
-4, -2, -1
Suppose -i = -4*z + 10, 21*i - 10 = 5*z + 16*i. Let l(c) be the second derivative of 8*c - 5/12*c**z - 10*c**2 + 10/3*c**3 + 0. Factor l(y).
-5*(y - 2)**2
Suppose 6*s - 45 = -3*s. Suppose -4*y - 2*b + 6*b = 0, -s*y + 4*b + 2 = 0. Factor -15*j**2 + 32*j**y - j - 15*j - 13*j**2.
4*j*(j - 4)
Let c be (((-4896)/(-20))/(-3))/(34587/(-234)). Let r = c - 8/427. Solve -16/15*x + 2/3*x**3 + 14/15*x**2 - r = 0 for x.
-2, -2/5, 1
Factor -28/5*q**2 + 167/5*q - 28 + 1/5*q**3.
(q - 20)*(q - 7)*(q - 1)/5
Solve -32 + 66 + 365*w - 546*w**4 - 49 - 1138*w**3 - 2265*w**2 + 3653*w**3 - 54*w**4 = 0.
1/15, 1/8, 1, 3
Let b be 4/(-10) - 222/(-180). Let t be -1 + (9/21 - 54/(-21)). Factor 0 - b*r + 1/6*r**t.
r*(r - 5)/6
Suppose -3560*j + 4564*j - 4016 = 0. Find b such that 0 + 0*b + 11/10*b**3 - 3/5*b**2 - 2/5*b**j = 0.
0, 3/4, 2
Let a(h) = 72*h**4 + 807*h**3 + 1644*h**2 - 2916*h + 972. Let u(z) = 145*z**4 + 1615*z**3 + 3289*z**2 - 5832*z + 1944. Let y(q) = 5*a(q) - 3*u(q). Factor y(d).
-3*(d + 6)**2*(5*d - 3)**2
Suppose 3*c - 2*v - 23 = 0, -2*v + 1597 = c + 1608. Let w(b) be the first derivative of -4/3*b**c + 21 - 2*b**2 + 8*b. Solve w(g) = 0.
-2, 1
Let g(z) = -z**2 + 809*z - 24859. Let f be g(32). Factor 1/5*y**f + 39/5*y**3 - 74/5*y**2 - 2*y**4 - 24/5 + 68/5*y.
(y - 3)*(y - 2)**3*(y - 1)/5
Let k = -22420 - -156958/7. Factor 2/7*t**5 + k*t**3 + 2*t**2 + 10/7*t**4 + 0 + 4/7*t.
2*t*(t + 1)**3*(t + 2)/7
Let q = 5040 - 5036. Let g(b) be the first derivative of 0*b + 4/15*b**3 - 1/10*b**q + 10 + 3/5*b**2. Factor g(x).
-2*x*(x - 3)*(x + 1)/5
Let t(k) = -51*k**2 + k - 4. Let w(y) = -61*y**2 + 2*y - 4. Let o(g) = 6*t(g) - 5*w(g). Find i, given that o(i) = 0.
-2
Suppose 167*c + 3339 = 170*c. Let y = 1113 - c. Factor y*d + 3/8*d**3 + 0 + 3/8*d**2.
3*d**2*(d + 1)/8
Let g(w) be the third derivative of w**8/840 + 4*w**7/175 + 2*w**6/75 - 17*w**5/75 - 3*w**4/20 + 22*w**3/15 - 801*w**2. Suppose g(m) = 0. What is m?
-11, -2, -1, 1
Let n be ((-25)/15)/(10/(-18)). Factor n*v**2 + 15 + 22 + 11 + 24*v.
3*(v + 4)**2
Let y(r) be the third derivative of -11/8*r**4 + 0*r + 19 - 1/336*r**8 + 3/70*r**7 + 3/2*r**3 + 23/30*r**5 - r**2 - 1/4*r**6. Factor y(s).
-(s - 3)**2*(s - 1)**3
Let -4/9*q**3 + 0 - 4/9*q**2 + 8/9*q = 0. Calculate q.
-2, 0, 1
Let g(a) be the third derivative of 1/30*a**5 + 0*a - 11/6*a**4 + 121/3*a**3 + 2 + 17*a**2. Factor g(z).
2*(z - 11)**2
Let a(s) = -s**3 - 7*s**2 + 18*s + 88. Let x be a(-8). Let l be 12/52*5*x/12. Factor -6/13 + 4/13*r**2 - l*r.
2*(r - 3)*(2*r + 1)/13
Suppose 0 = 2*n + 5 - 47. Suppose n*b = 16*b + 140. Let 3*t**2 - 4*t**2 + b + 8*t - 38*t + 3*t**2 = 0. What is t?
1, 14
Let d be (-32)/6 + (-1225)/(-147). Let c(n) be the second derivative of -4*n**2 + 1/5*n**5 - 4/3*n**d + 0 + 1/2*n**4 - 15*n - 1/15*n**6. Factor c(g).
-2*(g - 2)**2*(g + 1)**2
Let m = -70 - -62. Let g be (m/(14 + -6))/(-3). Suppose n + g + 1/3*n**3 + n**2 = 0. Calculate n.
-1
Let o(a) be the first derivative of a**6/6 - 3*a**5/5 - 11*a**4/2 - 38*a**3/3 - 27*a**2/2 - 7*a - 504. Factor o(b).
(b - 7)*(b + 1)**4
Let u(b) be the third derivative of -25