5/24*x**3 + 0 + 1/4*x**2. Factor f(l).
-(l - 1)**3*(l + 2)/4
Suppose 3*d = -11*j + 12*j + 15, 5*j + 4*d + 56 = 0. Let b be (j/8 + 1)/(1/(-23)). Factor b*o + 7/2*o**2 + 3.
(o + 3)*(7*o + 2)/2
Let c(l) = 7438*l - 29749. Let m be c(4). Suppose -8/5*f**m + 2/5*f**4 - 32/5 + 0*f**2 + 32/5*f = 0. What is f?
-2, 2
Let b be (8/(-12))/(-1 - 1)*6. Factor -p + 2*p**2 - 3*p + 6 - p**b - 11.
(p - 5)*(p + 1)
Let v be (-5 + 1)*((-20)/(-3800)*57)/((-66)/10). What is x in -8/11 - v*x**2 + 10/11*x = 0?
1, 4
Let h = 271 + -163. Let x be ((-4)/1)/1 - (-459)/h. Factor 0 + 0*a + x*a**2.
a**2/4
Let i(j) be the first derivative of -3*j**4/4 - 452*j**3 - 2703*j**2/2 - 1350*j + 4168. Factor i(a).
-3*(a + 1)**2*(a + 450)
Let y be (-234)/624 - 3*7/2*(-85)/204. Factor -14/9*f**4 - 2/9*f**5 - y*f**3 - 26/9*f - 2/3 - 44/9*f**2.
-2*(f + 1)**4*(f + 3)/9
Let l = 6/30767 - -1015263/246136. Solve l*m + 9/4*m**2 + 9/4 + 3/8*m**3 = 0 for m.
-3, -2, -1
Let f(j) be the second derivative of -j**4/60 - 101*j**3/30 - 10*j**2 - 15*j - 21. Factor f(v).
-(v + 1)*(v + 100)/5
Let r(v) = -v - 3. Suppose -3*b - 4 = 2*c + b, 32 = -4*c + 4*b. Let y be r(c). Find o such that -135*o - 22*o**2 - 12*o**2 - 135 - 11*o**2 - 5*o**y = 0.
-3
Let 2/3*p**5 + 54*p**4 - 164/3*p**3 + 0 + 0*p**2 + 0*p = 0. Calculate p.
-82, 0, 1
Let b(y) be the third derivative of y**5/75 - y**4/10 - 16*y**3/3 - 183*y**2 + 2*y. Factor b(j).
4*(j - 8)*(j + 5)/5
Factor -671*z**2 + 0 + 1341/2*z + 1/2*z**3.
z*(z - 1341)*(z - 1)/2
Let y(t) = 276*t**2 - 364*t - 1592. Let d(k) = -80*k**2 + 104*k + 455. Let l(w) = -24*d(w) - 7*y(w). Solve l(o) = 0 for o.
-8/3, 7
Suppose -4*j = -7*m + 2*m + 11, 3*j - 9 = -2*m. Let u be (10/9 - 1)*m*6. Suppose 2/3 + f + 1/3*f**u = 0. Calculate f.
-2, -1
Suppose -5*h + 175 = -t, t + 19*h - 21*h = -184. Let u be (-9)/(19/(t/75)). Let -u*x**4 + 2/5*x**5 + 18/5 + 42/5*x - 12/5*x**3 + 4*x**2 = 0. What is x?
-1, 3
Let a(q) be the first derivative of -q**3/9 - 1220*q**2 - 4465200*q - 4838. Solve a(o) = 0.
-3660
Let w(f) be the second derivative of -529/6*f**2 + 0 + 23/9*f**3 + 223*f - 1/36*f**4. Suppose w(x) = 0. What is x?
23
Let v(c) be the first derivative of -c**4/12 - 5*c**3/2 - 13*c**2 + 144*c - 167. Let m(k) be the first derivative of v(k). Suppose m(b) = 0. What is b?
-13, -2
Let s be (-3 + 2)*(-11)/(77/742). Factor -s*m + 4 - 106*m + 212*m - 3*m**2 - m**3.
-(m - 1)*(m + 2)**2
Let p(m) be the first derivative of -m**3/12 + 27*m**2/8 + 119*m/2 - 608. Factor p(r).
-(r - 34)*(r + 7)/4
Let v = -94499/108 - -875. Let w(q) be the third derivative of 0*q + 0 + v*q**4 - 1/270*q**5 + 19*q**2 + 0*q**3. Suppose w(f) = 0. What is f?
0, 1
Let -2/3*i**2 + 30 + 1/3*i**3 - 89/3*i = 0. Calculate i.
-9, 1, 10
Solve 109*a - 244 + 1461*a**2 - 1460*a**2 + 958 = 0 for a.
-102, -7
Let b = -300655 - -300658. Factor 0 - 200*o - 1/2*o**4 - 180*o**2 + 39/2*o**b.
-o*(o - 20)**2*(o + 1)/2
Find d such that -51/2*d + 97/8*d**2 - 27/2 + 1/4*d**5 + 45/8*d**4 + 21*d**3 = 0.
-18, -3, -2, -1/2, 1
Let h be (-1 - 18/12)/((-2)/52). Let s = 68 - h. What is f in 193*f**4 - 45*f**4 + 36*f - 132*f**s - 62*f**5 + 8 + 16*f**4 + 14*f**5 - 28*f**2 = 0?
-1/3, -1/4, 1, 2
Let u(z) be the second derivative of -z**7/336 - 49*z**6/240 + 57*z**5/80 + 313*z**4/48 + 719*z**3/48 + 255*z**2/16 + 662*z. Suppose u(j) = 0. Calculate j.
-51, -1, 5
Let c(f) = 10*f**3 - 37*f**2 + 1735*f - 3328. Let u(v) = v**3 - 4*v**2 + 193*v - 370. Let w(i) = -4*c(i) + 37*u(i). Find q such that w(q) = 0.
-9, 2, 7
Let v(i) be the first derivative of i**4/3 + 16*i**3 + 72*i + 102. Let l(u) be the first derivative of v(u). Determine o, given that l(o) = 0.
-24, 0
Let j(k) = -55*k**4 + 145*k**3 + 715*k**2 - 910*k - 15. Let a(t) = 4*t**4 + t**2 + 2*t + 1. Let l(z) = 15*a(z) + j(z). Factor l(h).
5*h*(h - 1)*(h + 8)*(h + 22)
Let l(s) = 4*s**2 - 32*s - 12. Let n be (-1)/2 - (-4025)/50. Let h = 79 - n. Let f(q) = -q. Let i(m) = h*l(m) + 24*f(m). What is x in i(x) = 0?
-1, 3
Suppose 10 + 13 = 4*u + 3*w, 14 = 2*u + 2*w. Suppose -2*h + u*x = 2 - 76, 0 = -h - 5*x + 67. Find g, given that -h*g - 5*g**2 - 25*g + 22*g - 54 + 14 = 0.
-8, -1
Let t(b) be the first derivative of b**6/6 + b**5/4 - 15*b**4/4 + 55*b**3/6 - 10*b**2 + 35*b - 89. Let v(m) be the first derivative of t(m). Factor v(o).
5*(o - 1)**3*(o + 4)
Let w(l) = l**3 + 44*l**2 + 44*l + 52. Let n be w(-43). Determine h so that -8*h**2 + n*h - 14 + 11*h + 0 + 2*h**2 = 0.
1, 7/3
Let o(t) be the first derivative of -t**6/8 - t**5/12 + 5*t**4/12 + 45*t**2/2 + t + 190. Let g(x) be the second derivative of o(x). Factor g(q).
-5*q*(q + 1)*(3*q - 2)
Let b be (4/(8/7))/1*2. Suppose -3*g - 3*p + b = -26, 5*g = 5*p + 55. Factor -161 - 42 - 3*m**2 + 33*m + 15*m + g.
-3*(m - 8)**2
Suppose -33*p + 47 = -19. Factor -79*m**p + 161*m**2 + 4*m**3 - 79*m**2 + 6*m**4 + 2*m**3 - 3*m**4.
3*m**2*(m + 1)**2
Let i be (-1)/(13860/96978) + (0 - -7). Let c(d) be the third derivative of 0 + 0*d**3 - 42*d**2 - 5/132*d**4 + 0*d - i*d**5. Suppose c(j) = 0. Calculate j.
-5, 0
Find h such that 2/5*h**4 - 112/5*h**2 - 22*h**3 + 0*h + 0 = 0.
-1, 0, 56
Let a(o) = 8*o - 20. Let y be a(3). Suppose 7*b - 9*b = -y. Factor -5*g - 5*g**b + 10*g**2 + 134 - 144.
5*(g - 2)*(g + 1)
Let d(g) = -6*g**4 + 3*g**3 - 3*g**2 + 21*g. Let h(p) = 13*p**4 - 12*p**3 + 5*p**2 - 41*p. Let i(f) = 7*d(f) + 3*h(f). Factor i(l).
-3*l*(l - 1)*(l + 2)*(l + 4)
Let u(b) be the third derivative of -b**5/30 + 247*b**4/6 - 61009*b**3/3 + 2*b**2 - 30. Factor u(c).
-2*(c - 247)**2
Let g(w) be the third derivative of 3*w**8/448 + 2*w**7/105 - 53*w**6/96 + 109*w**5/60 - 7*w**4/8 + 7*w**2 + 7. Let g(n) = 0. Calculate n.
-7, 0, 2/9, 2, 3
Let u = -153 + 161. Suppose 0 = 106*x - 110*x + u. Factor 0*b + 2/11*b**x - 2/11.
2*(b - 1)*(b + 1)/11
Let m be 35/210 - 2/((-24)/430). Factor -m*j - 4*j**2 - 2363 + 2363.
-4*j*(j + 9)
Let -44*s**3 + 3*s**3 + 26821 + 1204*s**2 - 267*s - 26725 - 409*s - 8*s**3 = 0. Calculate s.
2/7, 24
Let u(k) be the third derivative of 4/3*k**3 + 1/2*k**4 - 8*k**2 + 0*k + 0 + 1/240*k**6 + 3/40*k**5. Determine w, given that u(w) = 0.
-4, -1
Let x be (2 - (-3 + 3))*525/10. Determine u so that -x*u - 32*u**2 - 75 - 19*u**2 + 18*u**2 - 3*u**3 = 0.
-5, -1
Suppose 2*r = -2*r + 24. Let x be 1*r/(30/25). Let 118*p**x - 17*p**4 - 60*p**3 - 24*p**2 - 127*p**5 - 25*p**4 = 0. Calculate p.
-2, -2/3, 0
Let n be 6214/(-52580) - (-9)/30. Factor -n*q**2 + 4/11*q + 0.
-2*q*(q - 2)/11
Let w(a) be the first derivative of -a**4/12 + 338*a**3/3 - 57122*a**2 + 38614472*a/3 - 3629. Let w(i) = 0. What is i?
338
Let o(f) be the third derivative of 0 + 12167/51*f**3 + f**2 + 529/68*f**4 + 25*f + 23/170*f**5 + 1/1020*f**6. Let o(v) = 0. Calculate v.
-23
Let m(q) be the third derivative of 0 - 67/42*q**4 - 1/3*q**5 - 22/7*q**3 - 43*q - 4*q**2 - 1/210*q**6. Factor m(y).
-4*(y + 1)**2*(y + 33)/7
Let p(b) = -b**3 - 12*b**2 - 12*b - 12. Let w be p(-11). Let h be (-15)/3*w + (-656)/144. Factor -h + 8/9*y**2 - 2/3*y**3 + 2/9*y.
-2*(y - 1)**2*(3*y + 2)/9
Let w be 1 + -9 + -2 + (-2880)/(-280). Find a such that 50/7*a + 0 - 30/7*a**2 - 18/7*a**3 - w*a**4 = 0.
-5, 0, 1
Let m(n) be the third derivative of n**6/360 - n**5/120 - 107*n**3/6 - 107*n**2. Let l(h) be the first derivative of m(h). Let l(t) = 0. Calculate t.
0, 1
Let m be 3/(3/5) + 7 + -10. Suppose -2 = -l + 2*u, 4*u - 5 = -m*l - 1. Factor l*d**3 + 28*d + 34*d - 64*d.
2*d*(d - 1)*(d + 1)
Let i(l) be the first derivative of -3*l**5/5 + 6*l**4 + 51*l**3 - 27*l**2 - 648*l - 1061. Find a such that i(a) = 0.
-3, 2, 12
Let b(w) be the third derivative of 1/15*w**6 - 1/42*w**8 + 0*w**4 - 1/105*w**7 + 0 + 2*w**2 + 1/30*w**5 + 12*w + 0*w**3. Find g such that b(g) = 0.
-1, -1/4, 0, 1
Let y(t) be the third derivative of 5/54*t**4 + 0*t**3 + 0*t + 0 + 148*t**2 - 1/270*t**5. Factor y(u).
-2*u*(u - 10)/9
Let v(q) be the second derivative of 17/27*q**3 + 1/27*q**4 + 0 - q**2 + 51*q. Solve v(x) = 0.
-9, 1/2
Let y(a) be the first derivative of 0*a**2 + 1/90*a**6 - 22 - 1/2*a**4 + 0*a - 8/3*a**3 - 1/15*a**5. Let c(s) be the third derivative of y(s). Solve c(k) = 0.
-1, 3
Factor 15/2*c**2 - 5/4*c**3 + 1305/4*c - 665/2.
-5*(c - 19)*(c - 1)*(c + 14)/4
Suppose r + 3 = -3*w - 9, 4*r = -w + 7. Factor -j**5 + 2715*j**3 - 2706*j**3 + r*j**4 + 0*j**5 - 27*j**2.
-j**2*(j - 3)**2*(j + 3)
Suppose -1