+ 1/12*m**5. Solve x(h) = 0.
1, 5
Determine o so that -518/17*o + 1028/17 + 2/17*o**2 = 0.
2, 257
Suppose 53*n = 31*n + 66. What is o in 242*o + 92*o**2 - 32 + 240*o - 20*o**n - 522*o = 0?
-2/5, 1, 4
Let g be ((-81)/22 + 679/(-77) + 9)/(-2). Let h be 4/6*15/40. Suppose -5*f - g*f**3 + 2 + h*f**4 + 9/2*f**2 = 0. What is f?
1, 2
Let b be 16 - (4/6 + (-6493)/(-516)). Factor -9*u**2 - 4*u + 16 - b*u**3 - 1/4*u**4.
-(u - 1)*(u + 4)**3/4
Suppose -46118408*f - 3954653486 - 2/7*f**4 - 392*f**3 - 201684*f**2 = 0. Calculate f.
-343
Let z(t) be the first derivative of 9*t**4/4 - 22*t**3/3 - 28*t**2 + 1121. What is l in z(l) = 0?
-14/9, 0, 4
Let h = 1555847 - 3111691/2. Factor 9*y + h*y**2 - 21/2.
3*(y - 1)*(y + 7)/2
Let j = 2978747/7 + -425535. Factor -j*v**3 - 12/7 + 12/7*v**2 + 2/7*v.
-2*(v - 6)*(v - 1)*(v + 1)/7
Let z(o) = -2*o**4 + o**2 - 3*o + 2. Let y(u) = -3*u**4 - 10*u**3 - 2*u**2 + 148*u + 151. Let t(c) = -y(c) + 2*z(c). Let t(q) = 0. What is q?
-3, -1, 7
Let i(c) = 2*c**2 + 10*c - 3. Let m be i(-7). Suppose -37 + m = -3*z. Factor 49 + z*o - o**2 - 49 - 5*o.
-o*(o + 1)
Let u(s) = s**3 - 3*s**2 + 25*s - 59. Let y be u(11). Let f = -1182 + y. Find x, given that -8/9*x - 2/3 - 2/9*x**f = 0.
-3, -1
Let r = 16 + -13. Suppose -37*z = -53*z - 96. Let i(s) = s**4 - s**2 + s. Let p(b) = b**4 + 2*b - 1. Let t(a) = r*p(a) + z*i(a). Factor t(c).
-3*(c - 1)**2*(c + 1)**2
Let m(f) be the first derivative of 78 - 2/3*f + 7/15*f**5 + 5/3*f**3 + 19/12*f**4 + 1/6*f**2. Find j such that m(j) = 0.
-1, 2/7
Suppose 4*z + 0 = -4, -l - 16 = -3*z. Let x = -17 - l. What is r in -r**2 - 3*r**x + r**2 = 0?
0
Let a(o) = -11*o**2 + 516*o - 458. Let k be a(46). What is f in 1/3*f**k + 0 + 4*f = 0?
-12, 0
Let l = -1915129/3 - -638505. Factor -1475/6*b**3 - 315*b**2 - l*b - 52/3 + 125/6*b**4.
(b - 13)*(5*b + 2)**3/6
Suppose -2*l = 2*n - l - 17, 2*n + 4*l = 14. Let h(k) = -k**3 + 6*k**2 + 27*k + 2. Let i be h(n). Find o such that 4*o + 51 - 4*o**i - 4*o**3 + 12*o - 35 = 0.
-2, -1, 2
Let k = -906 + 910. Suppose 0 = 5*l - 0 - 15. Suppose 43*r**2 + 20*r**l - 36*r**2 + k*r**4 - 31*r**2 = 0. What is r?
-6, 0, 1
Let l be 4/(-1*-2*1). Let s be 9*(21/1134)/((3 + -4)/(-2)). Factor -5/6*x**l + s*x + 2/3*x**3 + 0 - 1/6*x**4.
-x*(x - 2)*(x - 1)**2/6
Let r be 1895/561 + 12/(-66) + 0. Let z = 60/17 - r. Find k, given that z*k**2 + 5/3*k + 2 = 0.
-3, -2
What is y in 50/11*y**2 - 12/11*y**3 - 8/11*y + 0 = 0?
0, 1/6, 4
Let n(t) be the third derivative of -t**6/720 + 223*t**5/30 - 49729*t**4/3 + 177433072*t**3/9 + 10*t**2 + 5. Factor n(s).
-(s - 892)**3/6
Let n(u) be the first derivative of -u**6/4 + 63*u**5/20 - 3*u**4/4 - 67*u**3/4 + 27*u**2 - 15*u + 32. Suppose n(z) = 0. Calculate z.
-2, 1/2, 1, 10
Let b(u) be the third derivative of u**6/720 - u**5/5 + 71*u**4/144 - 19*u**2 + 41*u. Suppose b(h) = 0. What is h?
0, 1, 71
Let p(s) = 16*s**2 - 247*s + 2646. Let h(q) = 7*q**2 - 124*q + 1323. Let m = -231 + 226. Let y(d) = m*h(d) + 2*p(d). Factor y(x).
-3*(x - 21)**2
Suppose 4*a = h + 19, -7*a + 9*a + h - 5 = 0. Find k such that k**5 - 22*k**4 + 55*k**4 - 32*k**a = 0.
-1, 0
Let v(c) be the first derivative of -c**7/42 - 5*c**6/24 + 7*c**5/6 + 9*c**2 + c + 1. Let u(l) be the second derivative of v(l). Let u(g) = 0. Calculate g.
-7, 0, 2
Let u(g) be the third derivative of -g**7/525 - g**6/150 + 9*g**5/50 + 9*g**4/5 + 36*g**3/5 - 775*g**2. Let u(h) = 0. Calculate h.
-3, -2, 6
Let c = -714863/3 - -238289. Factor -8/3*l**2 - 2/3*l**3 - 10/3*l - c.
-2*(l + 1)**2*(l + 2)/3
Suppose -2*o - 275156 = -275166. Find q such that -1/5*q**o - 1/5*q**4 + 2/5*q**2 + 2/5*q**3 - 1/5 - 1/5*q = 0.
-1, 1
Let q(x) be the third derivative of 0*x**3 - 1/240*x**5 - 43*x**2 + 0*x**4 + 0*x + 0. Find i, given that q(i) = 0.
0
Let r(v) = -23*v**3 - 110*v**2 - 215*v - 96. Let c(m) = -29*m**3 - 111*m**2 - 215*m - 93. Let l(d) = 4*c(d) - 5*r(d). What is y in l(y) = 0?
-1, 108
Let a be ((-52)/(-9))/((-2112)/(-11232)). Factor 0 + 8/11*t - 104/11*t**2 + a*t**3.
2*t*(13*t - 2)**2/11
Let z(y) be the first derivative of -3/16*y**4 - 3/40*y**5 + 9/2*y + 17 + 7/8*y**3 + 15/4*y**2. Find v, given that z(v) = 0.
-2, -1, 3
Let f = -528036 + 528038. Suppose 18/19*s + 0 + 2/19*s**f = 0. Calculate s.
-9, 0
Let k(x) = -11*x + 315. Let a be k(28). Suppose w + 5*c + a = 0, -5*w + 2*w + 5 = 2*c. Suppose -2/11*n**w - 2/11*n**2 + 0 + 0*n = 0. What is n?
-1, 0
Let u = 278/3 - 86. Let f be -1 + 20/12 - 0. Factor -f*x**2 - 50/3 - u*x.
-2*(x + 5)**2/3
Factor 1/10*k**4 + 173/10*k**3 + 0 + 17*k**2 - 172/5*k.
k*(k - 1)*(k + 2)*(k + 172)/10
Let r(h) = -7*h**2 + 287*h + 10925. Let x be (-17)/2 + 5/(-10). Let u(c) = -3*c**2 + 144*c + 5464. Let n(k) = x*u(k) + 4*r(k). Factor n(y).
-(y + 74)**2
Let s be -92*15/(-75) + -14. Let b(i) be the first derivative of 18*i**4 + 26 + 0*i - 64*i**2 + 1/3*i**6 + 32/3*i**3 + s*i**5. Factor b(k).
2*k*(k - 1)*(k + 4)**3
Determine m so that 0 + 113/5*m - 1/5*m**2 = 0.
0, 113
Suppose 0 = 2*c - 3*p + 8*p - 29, -5*c = p - 15. Factor -n**2 - 53*n + 36*n + 29*n + 18 - 2*n**2 + 5*n**c.
2*(n + 3)**2
Let r(t) be the first derivative of 18*t - 10*t**2 - 78 + 2/3*t**3. Determine l so that r(l) = 0.
1, 9
Solve -228*v - 274*v**2 + 184*v**2 - 6*v**3 + 10*v**3 + 180 + 134*v**2 = 0 for v.
-15, 1, 3
Suppose -3 + 11 = 4*w. Let a = 3 + 0. Factor -6*t - 4*t - 336*t**a + w*t + 320*t**4 + 92*t**2 + 256*t**5.
4*t*(t + 2)*(4*t - 1)**3
Let c = 434 + -196. Let a(k) = -k**2 - c - 5*k + 233 - 4*k. Let d(b) = -b**2 - b - 1. Let n(v) = a(v) - 5*d(v). Factor n(r).
4*r*(r - 1)
Let r**4 - 13*r**3 + 20*r**3 + 41*r**2 + 37*r**3 - 18*r**3 + 18*r**3 - 86*r = 0. What is r?
-43, -2, 0, 1
Let b(j) be the third derivative of j**5/210 + 177*j**4/14 + 93987*j**3/7 + 4397*j**2. Solve b(h) = 0 for h.
-531
Solve 469040/3*f - 127936/3*f**2 - 69652/3*f**3 - 1048/3*f**4 - 4/3*f**5 - 270400/3 = 0.
-130, -4, 1
Let d(b) = 5*b**3 - 9*b**2 - 996*b + 9797. Let p(h) = -19*h**3 + 35*h**2 + 3988*h - 39189. Let x(n) = 22*d(n) + 6*p(n). Factor x(a).
-4*(a - 14)**2*(a + 25)
Suppose 0 = 362*l - 357*l. Let n(f) be the second derivative of 1/4*f**5 + l - 25/2*f**2 - 35/12*f**4 + 55/6*f**3 - 32*f. Factor n(o).
5*(o - 5)*(o - 1)**2
Let h(n) = -n**2 - 9752*n - 4743368. Let f(m) = 5*m**2 + 39005*m + 18973475. Let j(d) = 4*f(d) + 15*h(d). Factor j(b).
5*(b + 974)**2
Factor 319622*q**3 - 13*q**2 - 319619*q**3 - 11*q**2.
3*q**2*(q - 8)
Let b be 1*(-6)/8*(-4 + 140). Let t be (b/(-289))/((-3)/(-2)). Let 8/17*f**2 + 2/17*f - 4/17*f**4 - t + 2/17*f**5 - 4/17*f**3 = 0. What is f?
-1, 1, 2
Let t = 79385872/10290763 + 2/1470109. Factor -3*h + t - 30/7*h**2 - 3/7*h**3.
-3*(h - 1)*(h + 2)*(h + 9)/7
Let i = -348322 + 348418. Suppose 216*t**3 - 27/2*t + 3 - 42*t**2 - i*t**4 = 0. What is t?
-1/4, 1/4, 2
Let n(y) be the second derivative of 25/6*y**3 + 10*y**2 - 31*y + 5/12*y**4 + 1. Let n(h) = 0. What is h?
-4, -1
Suppose 1516 = 585*l + 645 - 884. What is g in -6/7*g**2 + 3/7*g**5 + l*g - 6/7*g**4 + 12/7 - 24/7*g**3 = 0?
-1, 1, 4
Suppose 812 = 127*h + 177. Let g(q) be the first derivative of -q**2 + 1/6*q**6 + 3/5*q**h + 0*q - q**3 + 1/4*q**4 + 22. Factor g(d).
d*(d - 1)*(d + 1)**2*(d + 2)
Let c(k) be the first derivative of -45*k**4/4 + 17*k**3 - 48*k**2/5 + 12*k/5 - 823. Factor c(o).
-3*(3*o - 1)*(5*o - 2)**2/5
Let o(s) be the first derivative of s**6/180 - 2*s**5/15 + s**4 + s**3 + 19*s**2/2 - 117. Let t(i) be the third derivative of o(i). Factor t(j).
2*(j - 6)*(j - 2)
Let s = -1634 + 1656. Suppose -116 + 6 = -s*o. Factor f**4 + 0*f**2 + 1/4*f**o + 0*f + f**3 + 0.
f**3*(f + 2)**2/4
Suppose -3 = 26*j - 29. Let u(i) = i**2 + 3. Let y(o) = -36*o + 68. Let x(r) = j*y(r) + 4*u(r). Suppose x(w) = 0. Calculate w.
4, 5
Let c(b) be the second derivative of -b**6/15 - 7*b**5/10 - 13*b**4/6 + b**3 + 18*b**2 - 962*b. Factor c(r).
-2*(r - 1)*(r + 2)*(r + 3)**2
Let k be -5*(-3)/(-180) + 3/72*2. Let p(a) be the first derivative of -1/3*a**6 - 1/2*a**4 + 24 + k*a**2 - 4/5*a**5 + 0*a + 0*a**3. Factor p(j).
-2*j**3*(j + 1)**2
Determine j, given that 2*j**2 - 2155 + 3941 - 128*j - 2330 = 0.
-4, 68
Suppose 4*u + 2*m = -m + 690, -5*m = u - 164. Suppose 8*p**3 - 2 - 2*p**4 + 34 - 32*p + u*p**2 - 174*p**2 = 0. Calculate p.
-2, 2
Let s(t) be the first derivative of t**7/210 - t**6/45 - 2*t**5/15 + 4*t**4/3 - 46*t**3/3 + 19. 