+ 0*s - 1/27*s**6 + 1/9*s**2 - 4/27*s**3 + 4/45*s**5. Factor n(m).
-2*m*(m - 1)**3*(m + 1)/9
Let m = -12 + 18. Suppose -5*d = 5*j - 20, -d + 5*j = d + m. What is h in -2*h**4 - 29*h**d + 29*h**2 - 2*h**3 = 0?
-1, 0
Let r(x) be the second derivative of x**5/5 + 5*x**4 - 2*x**3/3 - 30*x**2 + 173*x - 1. Suppose r(h) = 0. What is h?
-15, -1, 1
Let x be (-6 - (-82)/12)*28/5. Find c, given that 2*c**4 - x*c**2 + 0*c - 2/3*c**3 + 8/3 + 2/3*c**5 = 0.
-2, -1, 1
Let h(f) be the third derivative of 0*f - 1/30*f**5 + 1/3*f**3 + 0*f**4 + 0 + 6*f**2. Determine v so that h(v) = 0.
-1, 1
Let s(b) be the third derivative of -b**5/60 - b**4/4 + b**3/3 - 6*b**2. Let o be s(-6). Factor 6*u**2 + 9*u**4 + 7*u**3 + o*u**3 + 8*u**3 - 2*u**3.
3*u**2*(u + 1)*(3*u + 2)
Let a(l) = -2*l - 11. Let u be a(7). Let t be 0/((2/10)/((-5)/u)). Factor -2/7*k**5 + t + 0*k + 0*k**4 + 0*k**2 + 2/7*k**3.
-2*k**3*(k - 1)*(k + 1)/7
Let n be 372/3 + (-2)/(2/(-3)). Let j = 129 - n. Solve -2/5 + 3/5*o**j - 1/5*o**4 + 1/5*o - 1/5*o**3 = 0 for o.
-2, -1, 1
Let h(l) be the third derivative of l**7/42 - l**6/6 - l**5/4 + 25*l**4/12 + 20*l**3/3 - 8*l**2 + 2. Factor h(x).
5*(x - 4)*(x - 2)*(x + 1)**2
Let z be 10 - 7 - (1 - 1). Suppose t + 6 = z*t. Factor -6*h - t + 0*h + 6*h**3 + 2*h**4 - 1 + 2*h**2.
2*(h - 1)*(h + 1)**2*(h + 2)
Let c(w) = 3*w**2 - 5*w. Let x = -12 + 14. Let i(z) = 20*z**2 - 35*z. Let m(d) = x*i(d) - 15*c(d). Find s such that m(s) = 0.
0, 1
Let d be (-6)/(-10) + 303/(-5). Let n = 64 + d. Solve 5/2*s**2 + 0 + 3/2*s**3 + s - 1/2*s**n - 1/2*s**5 = 0 for s.
-1, 0, 2
Let k(f) be the third derivative of -31*f**2 + 0*f - 1/105*f**5 - 1/840*f**6 + 0*f**3 + 1/42*f**4 + 0 + 1/1470*f**7. Factor k(q).
q*(q - 2)*(q - 1)*(q + 2)/7
Determine b so that 9747/5 - 342/5*b + 3/5*b**2 = 0.
57
Let g = -51 + 81. Let k = -48 + g. Let u(b) = 21*b**2 + 18*b + 18. Let t(v) = v**2 + v + 1. Let p(r) = k*t(r) + u(r). Find i, given that p(i) = 0.
0
Let x = 236 + -234. Let v(s) be the first derivative of 1/15*s**3 + 6 + 9/5*s - 3/5*s**x. Find j, given that v(j) = 0.
3
Let 1121/3*c**2 + 0 + 279*c**3 + 361/3*c + 79/3*c**4 + 2/3*c**5 = 0. What is c?
-19, -1, -1/2, 0
Let o(j) be the third derivative of j**7/126 + 17*j**6/360 - 2*j**5/15 - 13*j**4/18 - 8*j**3/9 + 148*j**2. Suppose o(t) = 0. What is t?
-4, -1, -2/5, 2
Factor -226*j + 33 + 250*j - 3*j**2 - 6 + 0*j**2.
-3*(j - 9)*(j + 1)
Let v = 1382 - 5525/4. Let z(t) be the first derivative of v*t**4 + 1 + 0*t - 3/2*t**2 - 12/5*t**5 + 4*t**3. What is b in z(b) = 0?
-1, 0, 1/4, 1
Let i(q) = -25*q**3 - 47*q**2 - 534*q + 582. Let y(t) = -46*t**3 - 94*t**2 - 1067*t + 1163. Let v(p) = 11*i(p) - 6*y(p). Solve v(k) = 0 for k.
-24, 1
Suppose 5*q = 3*q + 8. Let g be ((-40)/25)/((-10)/25). Factor 4*v**g - v**4 + v**3 + 0*v**3 - q*v**3.
3*v**3*(v - 1)
Suppose 1700/3 + 36*k**2 + 4/3*k**3 + 260*k = 0. Calculate k.
-17, -5
Let n(x) be the third derivative of x**8/2184 - x**6/260 + x**5/195 - 305*x**2. Find i such that n(i) = 0.
-2, 0, 1
Let k be (-10)/(-42)*(-21)/(-70). Let h(i) be the second derivative of k*i**7 + 0 + 4*i + 0*i**4 - 3/10*i**5 + 0*i**6 + 0*i**2 + 1/2*i**3. Solve h(g) = 0 for g.
-1, 0, 1
Factor -y**2 - 1/3*y**3 + 4/3 + 0*y.
-(y - 1)*(y + 2)**2/3
Let t(s) = -s**2 - 12*s - 7. Let p be t(-5). Let j be (3/5)/(p/20). Factor y**3 + 5/7*y**4 - 2/7 - j*y**2 - y.
(y - 1)*(y + 1)**2*(5*y + 2)/7
Let 3*m**5 + 21*m**3 + 189*m**3 - 8*m**5 - 220*m**2 - 60*m**4 - 3*m + 78*m = 0. What is m?
-15, 0, 1
Let y(r) be the first derivative of r**3 + 6*r**2 - 42. Determine k, given that y(k) = 0.
-4, 0
Let x be 1 + ((-12)/(0 + -3) - 3). Solve 17*v**x + 6*v + 4*v**3 + 2*v - 5*v**2 = 0 for v.
-2, -1, 0
Suppose -2*h + 2*d = -7*h - 202, -124 = 3*h + 4*d. Let s be ((-3)/(-4))/((-15)/h). Solve -4 - 6*m - 1/2*m**3 - 3*m**s = 0 for m.
-2
Let v be (-2)/6*0*((-12)/(-24) + 0). Find d, given that 0*d**2 + v + 5*d - 5/4*d**3 = 0.
-2, 0, 2
Let l be 5*45/231 + (-12)/22. Determine y so that 3/7 + 6/7*y**3 - 6/7*y + 0*y**2 - l*y**4 = 0.
-1, 1
Let i(d) be the first derivative of 4*d**5/15 - d**4 + 8*d**3/9 + 257. Find s such that i(s) = 0.
0, 1, 2
Suppose 7*g + 269 - 261 - 725*g**2 + 724*g**2 = 0. Calculate g.
-1, 8
Let d(x) = -13*x - 103. Let h be d(-8). Let j be 4*(-7)/(-56)*4*h. Determine a, given that 0 - a**j - 4/5*a**3 - 2/5*a - 1/5*a**4 = 0.
-2, -1, 0
Let v(l) be the third derivative of 0*l + 5*l**2 + 7/240*l**6 - 1/16*l**4 - 1/420*l**7 + 0 + 3/2*l**3 - 13/120*l**5. Determine u so that v(u) = 0.
-1, 2, 3
Suppose 3*x = 4*l + 33, 6*x - 21 = 9*x + 5*l. Factor 8/5 - 2*n**2 + 2/5*n**4 - 6/5*n + 6/5*n**x.
2*(n - 1)**2*(n + 1)*(n + 4)/5
Suppose -6*z - 141*z = -12*z. Factor 0*o + z + 0*o**2 - 1/3*o**3.
-o**3/3
Let m = 452 + -2711/6. Let d(f) be the first derivative of 11/8*f**2 - 11/16*f**4 + 1/2*f + 5 - m*f**3. Find o, given that d(o) = 0.
-1, -2/11, 1
Let m(a) = -3*a + 15. Let o be m(4). Let l be (o/10)/(36/192). Suppose l - 1/5*w**5 - 5*w**3 + 8/5*w**4 + 38/5*w**2 - 28/5*w = 0. Calculate w.
1, 2
Find f, given that 2/3*f**2 + 4*f + 10/3 = 0.
-5, -1
Let a(o) = -o**2 + 15*o + 22. Let f be a(11). Let y be 2/11 + 87/f. Suppose -1/2*k**2 + y - k = 0. What is k?
-3, 1
Let o(i) be the first derivative of -3/4*i**4 + 0*i**5 + 1/2*i**6 + 0*i**3 - 11 + 0*i + 0*i**2. Suppose o(k) = 0. What is k?
-1, 0, 1
Let h(d) be the second derivative of 0 + 1/6*d**3 + 0*d**2 + 1/180*d**6 - 1/20*d**5 + 1/6*d**4 - 4*d. Let i(n) be the second derivative of h(n). Factor i(f).
2*(f - 2)*(f - 1)
Let i be (54/36)/(63/48). Factor i - 2/7*b**2 + 0*b.
-2*(b - 2)*(b + 2)/7
Let h be 392/126 - (-8 + 11). Solve -4/9*x + h*x**2 + 1/3 = 0.
1, 3
Find y, given that -3*y**2 + 2*y - 5/2*y**3 - 1/2*y**4 + 4 = 0.
-2, 1
Find h, given that 27/2*h**3 - 5/2*h**4 + 15*h**2 - 128*h + 48 = 0.
-3, 2/5, 4
Let b be ((-176)/(-6) - 5)/5. Let y = -21/5 + b. Factor -y*j + 2/3*j**3 + 0 + 0*j**2.
2*j*(j - 1)*(j + 1)/3
Let o(f) be the second derivative of -f**4/21 + 80*f**3/21 - 800*f**2/7 + f - 102. Determine t, given that o(t) = 0.
20
Let u(g) be the second derivative of -g**7/210 + g**6/25 - 11*g**5/100 + g**4/10 - 26*g + 3. Determine r so that u(r) = 0.
0, 1, 2, 3
Find v, given that 194 - 23 + 1605*v - 3*v**2 - 841*v - 824*v + 204 = 0.
-25, 5
Suppose -3 = -2*a + 7. Let v(n) = -2*n**2 - 17*n + 2. Let r be v(-8). Solve 5*c**a - 4*c**2 - 33*c + 38*c - r*c**3 + 4*c**2 = 0 for c.
-1, 0, 1
Suppose 12 = -2*b + 2*p, b = p + 3*p - 9. Let i be ((-150)/36 - b)/((-15)/(-12)). Factor 2/9*w**2 - 4/9*w + 8/9*w**3 - i*w**4 + 0.
-2*w*(w - 1)**2*(3*w + 2)/9
Let i be (-4 - -2)/((-4)/818). Let c = -6133/15 + i. Factor -2/15*r**4 + 0*r + 0*r**3 + 4/15*r**2 - c.
-2*(r - 1)**2*(r + 1)**2/15
Let g = 145/47 - 921/329. Suppose g*x**3 + 0 + 0*x - 2/7*x**2 = 0. Calculate x.
0, 1
Let n be 12 - (-580)/(-48) - 11/(-132). Determine u, given that 9/7*u**3 + 6/7*u**2 + 0 - 15/7*u**4 + n*u = 0.
-2/5, 0, 1
Let g be ((-65)/(-52))/(2/8). Let x(k) be the second derivative of 1/20*k**g + 0*k**2 + 0 + 1/30*k**6 + 1/126*k**7 - 3*k + 0*k**3 + 1/36*k**4. Factor x(w).
w**2*(w + 1)**3/3
Let r(z) = 5*z + 47. Let t be r(-9). Factor -17*p + 11 + 2 - 5*p**t - 3*p + 12.
-5*(p - 1)*(p + 5)
Let k(g) = -2*g**2 + 3*g + 40. Let q be k(6). Let o be (0 - -1) + (-1)/((-21)/q). Factor 0 + 1/3*v**3 + 1/3*v**4 - 1/3*v**5 + 0*v - o*v**2.
-v**2*(v - 1)**2*(v + 1)/3
Factor -18/5*q**3 - 1/5*q**4 - 61/5*q**2 - 28/5 - 72/5*q.
-(q + 1)**2*(q + 2)*(q + 14)/5
Find l, given that 1/6*l**2 + 0 - 9/2*l = 0.
0, 27
Let k = 59 - 50. What is w in 10 - 10*w**2 - k*w**4 + 11*w**4 - 2 = 0?
-2, -1, 1, 2
Suppose -21*j + 15*j + 18 = 0. Factor -6*m**4 + 6*m**2 + 2*m**3 + 3*m**5 - 2*m**j - 3*m**3.
3*m**2*(m - 2)*(m - 1)*(m + 1)
Let k = -1467 - -1469. Factor -10/3*j + 1/3*j**k - 11/3.
(j - 11)*(j + 1)/3
Suppose 16*g + 306 - 338 = 0. Suppose 2/3*j**g + 1/3*j**4 + 0*j + j**3 + 0 = 0. What is j?
-2, -1, 0
Suppose 2*q - 46 = 274. Suppose -g = 4*g - q. Factor g - 32 + x**4.
x**4
Let p = -138 - -138. Let a(w) be the third derivative of 0 + 1/60*w**5 - 1/6*w**3 + w**2 + p*w**4 + 0*w. Factor a(q).
(q - 1)*(q + 1)
Let t(z) = -8*z**3 - 2. Let w(v) = -18*v**3 - v**2 - v - 5. Let d(g) = 5*t(g) - 2*w(g). Let d(c) = 0. What is c?
-1/2, 0, 1
Let n(l) = -l**3 + l**2. Let s(u) = -7*u**3 + 37*u**2 - 224*u - 256. Let t(w) = 6*n(w) - s(w). Let t(r) = 0. What is r