 17*b**2 + 35*b - 19. Let m = -387 - -394. Let r(t) = -10*t**3 + 36*t**2 - 70*t + 37. Let n(f) = m*u(f) + 4*r(f). Solve n(j) = 0 for j.
1, 3
Let x(a) = -15*a**2 - 231*a - 756. Suppose -7*r + 495 = -16*r. Let h = r - -59. Let z(p) = 3*p**2 + 46*p + 151. Let j(u) = h*x(u) + 21*z(u). Factor j(l).
3*(l + 7)**2
Solve -16/13*x**3 + 2/13*x**4 - 18/13*x**2 + 0*x + 0 = 0.
-1, 0, 9
Let 2*t**5 - 2213*t + 200*t**2 + 38*t**4 + 4010*t - 1408 - 2629*t + 165*t**3 + 35*t**3 = 0. What is t?
-11, -4, -2, 2
Let k(z) be the first derivative of 0*z**2 - 1/10*z**4 + 29 - 3/25*z**5 + 1/15*z**6 - 1/5*z + 4/15*z**3. Determine d, given that k(d) = 0.
-1, -1/2, 1
Factor -57*n + 1160*n + 189*n + 4*n**2 + 3840.
4*(n + 3)*(n + 320)
Let y(w) = w**3 - 10*w**2 + w. Let q(m) = -m**2 + 14*m - 13. Let c be q(6). Let l = -15 + c. Let o(f) = f**2 + f. Let a(s) = l*o(s) + 5*y(s). Factor a(k).
5*k*(k - 5)*(k - 1)
Let y(b) be the first derivative of b**8/1008 - b**7/210 + 4*b**2 + b + 4. Let i(g) be the second derivative of y(g). Suppose i(c) = 0. What is c?
0, 3
Let j(x) = 13 - 6*x**4 - x - x**2 - 9*x**4 - 12 + 16*x**4. Let t(p) = 8*p**4 + 25*p**3 + 37*p**2 + 17*p + 3. Let b(i) = -3*j(i) + t(i). Factor b(h).
5*h*(h + 1)*(h + 2)**2
Suppose 0 = -17*t + 14 + 20. Factor -6*n - 3*n**2 + 15*n**3 + 5 + 6 - 5 + 9*n - 21*n**t.
3*(n - 1)**2*(5*n + 2)
Let z = -422608 + 422613. Let 0*y**4 - 12 + 3*y**2 + 18*y + 3/2*y**z - 21/2*y**3 = 0. What is y?
-2, 1, 2
Let o(m) = -4*m**3 + 348*m**2 + 692*m + 352. Let g(n) = -6*n**3 + 697*n**2 + 1384*n + 702. Let y(z) = 4*g(z) - 7*o(z). Let y(r) = 0. What is r?
-86, -1
Let c(t) be the second derivative of t**4/36 + t**3/6 + t + 381. Factor c(v).
v*(v + 3)/3
Factor -4/5*q**2 - 48/5*q + 36.
-4*(q - 3)*(q + 15)/5
Suppose -1122 = -14*b + 3022. Let p = -296 + b. What is h in 3/7*h**2 - 4/7 + p*h + 1/7*h**3 = 0?
-2, 1
Factor 207 + 546*o + 124 + 163*o**2 + 26*o**2 + 29 + 3*o**3.
3*(o + 1)*(o + 2)*(o + 60)
Let x(r) = r + 25. Let u be x(-26). Let l be u/(7/((-28)/12)). Suppose 1/6*y**3 - l - 1/2*y**2 - 5/6*y + 1/6*y**4 = 0. What is y?
-1, 2
Solve 71*f**2 - 49*f**3 + 99/2*f - 21/2*f**4 - 1/2*f**5 - 121/2 = 0 for f.
-11, -1, 1
Factor 3*h**4 - 5*h**2 + 0*h - 13*h**2 - 9 + 31*h - 7*h.
3*(h - 1)**3*(h + 3)
Let s(l) = l**2 + 2. Let u(w) = w**3 + 8*w**2 + 9*w + 15. Let o be u(-7). Let i(x) = 21*x**2 + 30*x + 63. Let v(b) = o*i(b) - 18*s(b). Factor v(j).
3*(j + 1)*(j + 9)
Let 156*d + 150063615 - 150063615 + 3*d**4 + 168*d**2 + 51*d**3 = 0. What is d?
-13, -2, 0
Let k be 39 + 0 + (-12)/3. Suppose -5*n + 4*h + 2 = -39, 3*n - 5*h = k. Suppose -n*v - 14*v**3 + 9*v**3 + 10*v**3 = 0. What is v?
-1, 0, 1
Let u(x) be the first derivative of -3*x**4/28 + 2*x**3/7 + 27*x**2/14 - 54*x/7 - 1461. Factor u(v).
-3*(v - 3)*(v - 2)*(v + 3)/7
Let b(x) be the second derivative of x**7/168 - 7*x**6/120 + 17*x**5/80 - 17*x**4/48 + x**3/4 - x + 37. Factor b(m).
m*(m - 3)*(m - 2)*(m - 1)**2/4
Let d(n) be the third derivative of -n**10/680400 - n**9/272160 - n**5/5 + 64*n**2. Let b(u) be the third derivative of d(u). Suppose b(y) = 0. What is y?
-1, 0
Let r = -114530 + 683899/6. Let l = 547 + r. Factor 0 + l*i**3 - 2/3*i**2 + 2/3*i.
i*(i - 2)**2/6
Let g be 2 + ((-24)/(-12))/((-2)/(-3)). Let g*m**2 + 4205 + 62*m - 43*m + 271*m = 0. Calculate m.
-29
Let k(s) be the second derivative of -5/2*s**4 + 12*s**2 + 18*s - 3/4*s**5 + 2*s**3 + 1/14*s**7 + 1/5*s**6 + 2. Suppose k(b) = 0. What is b?
-2, -1, 1, 2
Let q be (-52)/112*-4 - (-20)/140. Factor -2/5*g**3 - 13718/5 - 114/5*g**q - 2166/5*g.
-2*(g + 19)**3/5
Let z(r) = -31*r**3 - 1173*r**2 + 86425*r + 87616. Let m(y) = -13*y**3 - 587*y**2 + 43213*y + 43808. Let n(q) = 14*m(q) - 6*z(q). Determine i so that n(i) = 0.
-1, 148
Let s(p) be the second derivative of -4*p**7/147 + 3*p**6/7 + 46*p**5/35 - p**4/7 - 88*p**3/21 - 39*p**2/7 - 8*p - 45. Determine y, given that s(y) = 0.
-1, -3/4, 1, 13
Factor 1000*q + 5*q - q**2 - 1356621 + 2293*q - 1362580.
-(q - 1649)**2
Let l(d) be the second derivative of 2/15*d**4 + 0*d**2 + 27 - d - 4/5*d**3 - 1/75*d**6 + 3/50*d**5. Factor l(f).
-2*f*(f - 3)*(f - 2)*(f + 2)/5
Factor 225*d**2 - 1718649*d - 5*d**4 + 0*d**4 - 60*d**3 - 300 + 1718629*d.
-5*(d - 2)**2*(d + 1)*(d + 15)
Let o(w) be the third derivative of w**6/540 + 4*w**5/135 - 31*w**4/108 + 22*w**3/27 - 133*w**2 - 2*w. Factor o(q).
2*(q - 2)*(q - 1)*(q + 11)/9
Let a(s) be the first derivative of -s**6/8 - 129*s**5/20 + 9*s**4/16 + 127*s**3/4 - 129*s**2/4 + 11704. Solve a(l) = 0.
-43, -2, 0, 1
Let t(d) be the third derivative of -1/10*d**5 + 0*d + 1/10*d**4 + 4/15*d**3 + 0 + 17/600*d**6 + 18*d**2 - 1/350*d**7. Solve t(j) = 0 for j.
-1/3, 2
Let t(r) be the third derivative of r**6/240 - 31*r**5/360 - 79*r**4/72 + 14*r**3/9 + 3*r**2 + 591*r. Factor t(x).
(x - 14)*(x + 4)*(3*x - 1)/6
Let i(q) = 5*q**3 - 135*q**2 + 190*q - 2. Let j(h) = -48*h**3 + 1214*h**2 - 1736*h + 19. Let a(z) = -57*i(z) - 6*j(z). Let a(n) = 0. Calculate n.
-138, 0, 1
Solve -13633/3*o**3 + 18542/3*o**2 + 144*o**4 - 7/6*o**5 + 1403/2*o - 7442/3 = 0 for o.
-4/7, 1, 61
Let g(z) be the third derivative of -100*z**2 + 0*z**3 + 0 - 1/78*z**5 - 1/39*z**4 + 0*z - 1/780*z**6. Find b such that g(b) = 0.
-4, -1, 0
Factor -2125*o + 364*o**2 + 231*o**2 + 2*o**4 - 675*o + 248*o**2 - 68*o**3 - 83*o**2.
2*o*(o - 14)*(o - 10)**2
Let y = 57241/6 + -9540. Let k(f) be the second derivative of 0*f**3 + 0*f**2 + y*f**6 + 0 - 1/4*f**5 + 28*f + 0*f**4. Solve k(m) = 0 for m.
0, 1
Let u(f) be the third derivative of -f**6/255 - 22*f**5/255 - 35*f**4/68 - 24*f**3/17 - f**2 + 183. Factor u(i).
-2*(i + 8)*(2*i + 3)**2/17
Let d be (6/10 - 55/((-385)/56)) + (-14)/(-35). Factor 9/4*q**3 + 39/4*q**2 - d - 24*q.
3*(q - 2)*(q + 6)*(3*q + 1)/4
Let h = 541 + -547. Let z be h + (-89)/(-8) + -5. Suppose z*o**2 + 3/8 - 1/2*o = 0. What is o?
1, 3
Determine x, given that 8 - 130/3*x - 263/3*x**2 - 7*x**3 = 0.
-12, -2/3, 1/7
Let d(m) be the second derivative of 162*m + 2*m**3 + 9/10*m**5 + 0 - 2*m**4 + 0*m**2 + 1/56*m**7 - 1/5*m**6. Let d(y) = 0. Calculate y.
0, 2
Let j(u) be the first derivative of -221*u**4/8 + 73*u**3/2 + u**2/2 - 7040. Solve j(o) = 0.
-2/221, 0, 1
Let q(c) be the first derivative of -c**6/15 + 17*c**5/10 - 377*c**4/40 + c**3/6 + 381*c**2/20 - 9*c - 7358. Suppose q(v) = 0. Calculate v.
-1, 1/4, 1, 6, 15
Let s(g) be the second derivative of -g**6/160 + g**5/40 + 99*g**2/2 - 31*g + 3. Let n(d) be the first derivative of s(d). Factor n(f).
-3*f**2*(f - 2)/4
Let r(s) = -8*s**2 - s - 1. Let y(x) = 291*x**2 + 180*x - 1704. Let v(t) = 36*r(t) + y(t). Factor v(b).
3*(b - 10)*(b + 58)
Determine t so that -201/4 - 54*t + 15/4*t**4 + 54*t**3 + 93/2*t**2 = 0.
-67/5, -1, 1
Let t = 146964 - 146962. Factor 15/2*y + 18 + 3/4*y**t.
3*(y + 4)*(y + 6)/4
Let b = 1023596/3 + -341197. Factor b*f - 5/3*f**3 + 10 - 10*f**2.
-5*(f - 1)*(f + 1)*(f + 6)/3
Let g(r) be the third derivative of r**5/180 - 59*r**4/18 - 2*r**2 - 2145*r. Factor g(j).
j*(j - 236)/3
Let k = 167 + -175. Let m(i) = -4*i**3 - 212*i**2 - 3460*i - 19644. Let h(t) = t**2 - t - 1. Let f(r) = k*h(r) - m(r). Suppose f(w) = 0. Calculate w.
-17
Let 187/2*g + 375/4 - 1/4*g**2 = 0. What is g?
-1, 375
Let s be 1575/(-60) - 2/(-8). Let z = s + 29. Factor -10*u - 10*u**z + 8*u**3 + 12*u.
-2*u*(u - 1)*(u + 1)
Let n be (-8 - -9)*-12*1/(-3). Let v(j) be the second derivative of 0 - 8*j - 4/3*j**n - 4/3*j**3 + 9/2*j**5 + 0*j**2. Factor v(t).
2*t*(5*t - 2)*(9*t + 2)
Let j be 6*5/10 + 383/1. Suppose 0 = 8*v - j - 102. Factor 64*r**2 + 12 - 12*r - v*r**2 + 0*r.
3*(r - 2)**2
Let a = 14954/19 + -29889/38. Factor 0*n**2 + 0 - 3/2*n**3 - a*n**4 + 0*n.
-n**3*(n + 3)/2
Let a be 2 + -9 + -9 + 5763/360. Let n(c) be the second derivative of 1/180*c**6 - a*c**5 - 1/24*c**4 - 1/6*c**2 + 16*c + 0 + 5/36*c**3. Factor n(k).
(k - 1)**3*(k + 2)/6
Factor 2/7*f**3 + 10854/7*f - 282/7*f**2 - 8978.
2*(f - 67)**2*(f - 7)/7
Let x(u) be the third derivative of u**8/20160 + u**7/2520 + 61*u**5/60 - 69*u**2. Let v(p) be the third derivative of x(p). Factor v(a).
a*(a + 2)
Let p(g) be the third derivative of -g**5/15 + 21*g**4/2 - 120*g**3 + 19*g**2 - 120*g. Factor p(q).
-4*(q - 60)*(q - 3)
Let y = 68 + -70. Let v be ((-3)/9)/(y/36). Factor -28*h**2 - h**3 - 3*h - v + 5 + 25*h**2.
-(h + 1)**3
Let w(h) = h**3 + 37*h**2 + h