+ 2/9*g**3 - 14/3*g + 2*g**2 = 0. Calculate g.
-11, 1
Let c(q) be the third derivative of -1/30*q**5 + 1/525*q**7 - 1/280*q**8 + 0 + 1/20*q**6 + 0*q + 4/15*q**3 - 1/5*q**4 - 35*q**2. What is x in c(x) = 0?
-2, -1, 1/3, 1, 2
Let r be (1919/(-38))/((-13)/4). Let d = r - 580/39. Solve 2/3*s**3 - 2/3*s**4 - 1/3*s - d + 4/3*s**2 - 1/3*s**5 = 0 for s.
-2, -1, 1
Let c(q) be the third derivative of 2*q**7/105 + 8*q**6/15 + 6*q**5 + 100*q**4/3 + 250*q**3/3 + 101*q**2 + 19*q. Determine n so that c(n) = 0.
-5, -1
Let b(x) be the third derivative of -x**8/840 - 8*x**7/525 + 3*x**6/100 + 1898*x**2. Factor b(u).
-2*u**3*(u - 1)*(u + 9)/5
Let x = 4859/2 - 2429. Let v(a) be the first derivative of -x*a**3 + 3/2*a**2 + 1 - 3/2*a. Factor v(c).
-3*(c - 1)**2/2
Let x(r) be the first derivative of r**4/42 - 1588*r**3/63 + 1585*r**2/21 - 528*r/7 + 6168. Factor x(d).
2*(d - 792)*(d - 1)**2/21
Let t(p) = -2*p**2 - 296*p - 1972. Let r be t(-7). Factor -15/8*i**r + 9*i + 15/8.
-3*(i - 5)*(5*i + 1)/8
Find w such that -4500 - 4/5*w**4 - 8809/5*w**2 + 5820*w - 388/5*w**3 = 0.
-50, 3/2
Let s(k) be the second derivative of 1/6*k**3 - 1/84*k**4 - 6/7*k**2 + 0 - 32*k. What is f in s(f) = 0?
3, 4
Let a(h) be the second derivative of -h**5/80 - 7*h**4/16 + 131*h**3/12 - 30*h**2 - 151*h - 22. Factor a(s).
-(s - 8)*(s - 1)*(s + 30)/4
Let q(i) be the third derivative of 0*i**4 - 1/5*i**6 + 0 + 2/105*i**7 + 0*i**5 + 1/84*i**8 + 0*i**3 + 0*i - 191*i**2. Factor q(c).
4*c**3*(c - 2)*(c + 3)
Let y(x) be the third derivative of -4/17*x**3 + 67*x + 2*x**2 - 5/204*x**6 - 16/51*x**4 - 19/102*x**5 + 0. Factor y(r).
-2*(r + 3)*(5*r + 2)**2/17
What is s in -20*s**2 + 91*s**3 + 108*s - 9*s**3 - 42*s**3 - 28*s**2 - 43*s**3 = 0?
-18, 0, 2
Let -100532*l**3 + 9*l**4 + 6*l**4 + 100454*l**3 + 160*l**2 - l**5 - 96*l = 0. What is l?
0, 1, 4, 6
Let u(y) = -6*y**3 + 30*y**2 + 56*y - 4. Let w(x) = 13*x**3 - 61*x**2 - 111*x + 9. Let o(n) = 18*u(n) + 8*w(n). What is h in o(h) = 0?
-2, 0, 15
Let p(h) be the first derivative of -h**5/5 + 17*h**4/2 - 31*h**3 - 1352. Determine c so that p(c) = 0.
0, 3, 31
Let r(f) = -f**2 + 1. Let g = 16 - 5. Suppose -3*q + g = 29. Let w(c) = -2*c**2 + 4*c - 2. Let j(h) = q*r(h) + w(h). Factor j(t).
4*(t - 1)*(t + 2)
Suppose 23 = 4*n + 79, 86 = 3*z - 4*n + 30. What is v in 8/7*v**2 + 0 + 2/7*v**3 + z*v = 0?
-4, 0
Let t = 929 + -506. Factor t + 5*q**2 + 497 + 580 + 150*q - 375.
5*(q + 15)**2
Factor -9 + 1/2*q**3 + 37/2*q - 10*q**2.
(q - 18)*(q - 1)**2/2
Let f = -138 + 162. Let 22*n**3 + f*n**3 - 20*n**2 + 25*n**3 - 15*n - 76*n**3 = 0. Calculate n.
-3, -1, 0
Let j(y) = -24*y - 117. Let h be j(-11). Factor 170*r**3 + 12*r**2 - 2*r**3 + 31*r**2 + h*r**4 + 5*r**2.
3*r**2*(7*r + 4)**2
Let t(y) = -98*y + 64. Let l be t(-7). Factor 6*u**2 - 5*u + 375*u**3 + 374*u**3 - l*u**3.
-u*(u - 5)*(u - 1)
Let n = 6902 + -34509/5. Let t(j) be the second derivative of 2/3*j**3 - 15*j + 1/3*j**4 - 2*j**2 - n*j**5 + 0. Factor t(v).
-4*(v - 1)**2*(v + 1)
Let x = -3569 - -3575. Let z(p) be the second derivative of -16/3*p**4 + 0*p**2 + 8/3*p**3 + 17/5*p**5 + 0 - 2/3*p**x + 23*p. Let z(b) = 0. What is b?
0, 2/5, 1, 2
Let m(q) = 28*q**4 + 363*q**3 + 568*q**2 - 902*q + 19. Let t(h) = 9*h**4 + 120*h**3 + 189*h**2 - 300*h + 6. Let z(f) = 6*m(f) - 19*t(f). Solve z(w) = 0.
-32, -3, 0, 1
Let q(d) be the third derivative of d**7/70 + 19*d**6/20 + 517*d**5/20 + 741*d**4/2 + 3042*d**3 - 749*d**2. Factor q(w).
3*(w + 6)**2*(w + 13)**2
Let q be (17320/50)/(2 + 18/(-10)). Factor -i**3 - 870 - 864 - 4*i**2 + q - 5*i.
-(i + 1)**2*(i + 2)
Let m(i) = -2*i**2 - 332*i - 1310. Let x(s) = 2*s**2 + 332*s + 1311. Let q(n) = -15*m(n) - 14*x(n). Factor q(u).
2*(u + 4)*(u + 162)
Let k(f) be the first derivative of -f**6 + 2*f**5/5 + 18*f**4 + 24*f**3 - 16*f**2 + 860. What is h in k(h) = 0?
-2, 0, 1/3, 4
Let j be 15/55 - (-7 - (-160)/22). Let q(b) be the third derivative of 0*b + 17*b**2 + 1/3*b**3 + j - 1/18*b**4 + 1/270*b**5. Solve q(l) = 0.
3
Let j be (18 - 52)/((-2)/(-3)). Let x be (6/4)/(j/(-68)). Find r, given that 5/2*r**4 + 2*r - 9/2*r**x + 2 + 3/2*r**5 - 7/2*r**3 = 0.
-2, -1, -2/3, 1
Suppose -2*j + s + 10 = 0, -2*j = -3*j - 5*s - 17. Let l be (-80)/(-15) - (j + 0)/9. Factor -5*p + 4*p**2 - 6*p**2 + 5 + 0*p + l*p**3 - 3*p**2.
5*(p - 1)**2*(p + 1)
Let r(l) be the third derivative of l**8/1680 + l**7/150 + 3*l**6/100 + l**5/15 + l**4/15 + 1878*l**2. Let r(y) = 0. Calculate y.
-2, -1, 0
Let d(a) be the first derivative of -4*a**5/5 - 520*a**4 - 270400*a**3/3 + 584. Factor d(z).
-4*z**2*(z + 260)**2
Let i(t) = -8*t - 64. Let b be i(-12). What is d in -19*d**3 - 16 + b*d + 27*d**3 - 36*d**3 + 8*d**4 + 12*d**2 = 0?
-1, 1/2, 2
Suppose 533*m = -523*m + 1058*m. Let y(s) be the first derivative of m*s**2 + 2/5*s**5 + 0*s + 0*s**3 - 12 + s**4. Factor y(l).
2*l**3*(l + 2)
Let o = -4716 - -4719. Let n(c) be the first derivative of -104/11*c**o + 8 - 2/11*c**5 + 0*c + 72/11*c**2 - 29/11*c**4. Factor n(p).
-2*p*(p + 6)**2*(5*p - 2)/11
Let m(p) be the third derivative of -p**6/3780 - p**5/140 - 5*p**4/63 + 32*p**3/3 - 80*p**2. Let a(l) be the first derivative of m(l). Factor a(y).
-2*(y + 4)*(y + 5)/21
Factor 522*d**2 - 265*d**2 - 7365533 - 260*d**2 + 11958*d - 4550614.
-3*(d - 1993)**2
Let k be (8/(-6))/(((-80344)/249)/121). Factor -k*y**2 + 0 - 25/2*y.
-y*(y + 25)/2
Let r(a) be the second derivative of a**6/6 + 69*a**5/20 - 5*a**4/4 - 197*a**3/6 + 69*a**2 + 2*a - 143. Determine s so that r(s) = 0.
-69/5, -2, 1
Let d(v) be the first derivative of -52/5*v**5 - 4*v**6 + 0*v - 4*v**2 + 2*v**4 - 12 + 28/3*v**3. Solve d(y) = 0 for y.
-2, -1, 0, 1/3, 1/2
Let v be (-7 - 395/(-55)) + (-29)/13398*-2028. Find c such that -76/7*c**2 + 0 + 4/7*c**4 + 40/7*c + v*c**3 = 0.
-10, 0, 1
Let b be 3 + 3 + 16 - (4 + -4). Factor -b*r**2 - 4 - 560*r + 554*r + 26*r**2.
2*(r - 2)*(2*r + 1)
Let w(l) = 4*l**3 - 223*l**2 + 341*l - 68. Let q(g) = 9*g**3 - 448*g**2 + 681*g - 143. Let v(m) = 6*q(m) - 11*w(m). Factor v(y).
5*(y - 22)*(y - 1)*(2*y - 1)
Suppose 2*i - 3*j - 220 = 0, i = -4*i + 3*j + 568. Factor 3*f**2 + 78 + 68 - 75*f - 190 + i.
3*(f - 24)*(f - 1)
Determine j so that -1372*j - 820*j - 8 - 750*j**2 - 151*j + 455*j - 1114*j = 0.
-4, -1/375
Let t(r) = 18*r + 385. Let k be t(-20). Suppose -129*s + k*s = 0. Let 54/5*y**3 - 486/5*y**2 + 1458/5*y - 2/5*y**4 + s = 0. Calculate y.
0, 9
Suppose g = -3*g - v + 14, -2*g = -5*v - 18. Let -4*r**g + 12855*r**3 + r**5 + 8*r**2 + 3*r - 12857*r**3 - 4 - 2*r = 0. Calculate r.
-1, 1, 4
Let w(i) be the second derivative of -i**6/60 - 148*i**5 - 547600*i**4 - 3241792000*i**3/3 - 1199463040000*i**2 - 8830*i. What is f in w(f) = 0?
-1480
Let a be 0*(-5)/(2 + 8). Let j(u) be the second derivative of a*u**2 + 3/14*u**5 + 1/21*u**3 + 3/35*u**6 + 0 - 13*u + 1/6*u**4. Factor j(h).
2*h*(h + 1)*(3*h + 1)**2/7
Let k = -1/2262 + 4529/11310. Solve -2/5*u**5 + 0*u - 6/5*u**4 + 6/5*u**2 + 0 + k*u**3 = 0 for u.
-3, -1, 0, 1
Let w(v) = 6*v**2 - 1653*v + 1590. Let g(s) = -5*s**2 + 1652*s - 1609. Let n(a) = 3*g(a) + 2*w(a). Find o such that n(o) = 0.
1, 549
Factor 2/13*k**2 + 0*k - 2/13*k**3 + 2/13*k**5 - 2/13*k**4 + 0.
2*k**2*(k - 1)**2*(k + 1)/13
Let x(o) be the third derivative of -o**8/756 - 2*o**7/27 - 443*o**6/270 - 2449*o**5/135 - 940*o**4/9 - 800*o**3/3 - 5770*o**2. Suppose x(q) = 0. What is q?
-12, -5, -1
Let z(g) = -g - 5. Let h be z(-7). Suppose 3*q = 15, 0*m + 38 = 4*m + h*q. Factor -m*k + k + 3*k**2 + 25 - 34.
3*(k - 3)*(k + 1)
Let g be (((-675)/(-30))/(-15))/(-3 + 1). Let s(i) be the first derivative of -1 + 2*i**3 - 6*i + g*i**4 - 3/2*i**2. Factor s(d).
3*(d - 1)*(d + 1)*(d + 2)
Let i(p) be the first derivative of -p**6/720 - p**5/360 - p**2 - 5*p - 24. Let y(l) be the second derivative of i(l). Factor y(d).
-d**2*(d + 1)/6
Let d = -49266 + 147800/3. Factor d*u - 2*u**2 + 2 - 2/3*u**3.
-2*(u - 1)*(u + 1)*(u + 3)/3
Suppose -7 - 5 = -4*n. Suppose -n*z - 1 = -4*c, z - 8 - 13 = -4*c. What is d in 15*d**4 - 9*d + 3*d**z + 3 + 11*d + 30*d**2 + 30*d**3 + 13*d = 0?
-1
Let f(t) be the third derivative of -t**6/540 - 11*t**5/270 - t**4/27 + 20*t**3/9 - 204*t**2 - t + 1. Find y, given that f(y) = 0.
-10, -3, 2
Suppose 2*n = -x - 6, -4*x - 8 = 119*n - 115*n. Let 1/9*s**3 - 1/9*s**4 + 2/9 - 5/9*s + 1/3*s**x = 0. What is s?
-2, 1
Suppos