*7/630 - a**6/15 + 107*a**5/180 - 23*a**4/12 + 28*a**3/9 - 9732*a**2. Factor i(c).
-(c - 2)*(c - 1)**2*(c + 28)/3
Let l(h) be the first derivative of 5*h**3/3 + 1835*h**2 + 673445*h + 173. Factor l(d).
5*(d + 367)**2
Let c(k) be the third derivative of -k**7/945 + k**6/540 + 14*k**5/135 + 5*k**4/27 - 16*k**3/9 - 304*k**2. What is r in c(r) = 0?
-4, -2, 1, 6
Let v(a) be the first derivative of 8*a**5 - 15*a**4 - 10/3*a**3 + 65/2*a**2 + 29 - 5/6*a**6 - 30*a. Find c, given that v(c) = 0.
-1, 1, 6
Let q(m) = m**2 + 10*m + 92. Let g(h) = -2*h**2 - 11*h - 96. Let s(k) = -4*g(k) - 6*q(k). Factor s(z).
2*(z - 14)*(z + 6)
Let d(g) be the second derivative of 2 + 0*g**3 - 3/32*g**4 + 3/80*g**5 - g + 0*g**2 + 1/80*g**6. Let d(q) = 0. What is q?
-3, 0, 1
Determine x so that -178084/5 + 1688/5*x - 4/5*x**2 = 0.
211
Let i(j) be the first derivative of j**6 + 303*j**5/10 - 633*j**4/8 - 575*j**3/2 + 1557*j**2/4 + 243*j + 7318. Suppose i(g) = 0. What is g?
-27, -2, -1/4, 1, 3
Let j(p) be the second derivative of -p**6/40 - 3*p**5/5 + 19*p**4/16 + 17*p**3/4 - 2*p - 166. Solve j(d) = 0 for d.
-17, -1, 0, 2
Let v(p) = p**3 + p. Let q(r) = -393*r**3 - 1675*r**2 + 962*r - 100. Let b(h) = -q(h) - 18*v(h). Suppose b(m) = 0. What is m?
-5, 2/15, 2/5
Let f(o) = -3*o**3 - 10*o**2 - 29*o - 22. Let j(d) = -3*d**3 - 9*d**2 - 30*d - 24. Suppose 0 = -10*a - 2*a + 60. Let b(r) = a*j(r) - 6*f(r). Factor b(c).
3*(c + 1)*(c + 2)**2
Suppose -210 = -4*p + 3*o, 3*p - o - 102 = 53. Determine k so that 50*k**4 - 24*k**4 + 57*k - 23*k**4 - 34*k**2 + p*k**3 - 77*k**2 = 0.
-19, 0, 1
Let d(x) be the second derivative of x**4/48 - 127*x**3/12 + 16129*x**2/8 + 3*x - 222. Factor d(c).
(c - 127)**2/4
Determine h, given that -2/9*h**5 + 34/9*h**4 + 0 + 2/9*h**3 - 34/9*h**2 + 0*h = 0.
-1, 0, 1, 17
Let p(m) be the second derivative of -5*m**7/63 + 67*m**6/45 - 58*m**5/15 - 382*m**4/9 - 320*m**3/9 + 256*m**2/3 - 235*m - 1. Solve p(o) = 0 for o.
-2, -1, 2/5, 8
Factor -18/19*f + 2/19*f**2 - 104/19.
2*(f - 13)*(f + 4)/19
Factor -8*s**3 + 3/2*s + 0 + 5/8*s**4 + 47/8*s**2.
s*(s - 12)*(s - 1)*(5*s + 1)/8
Let h(q) = 4*q**4 - 266*q**3 - 780*q**2 - 7*q + 1031. Let r(g) = 6*g**4 - 400*g**3 - 1170*g**2 - 10*g + 1546. Let o(y) = -14*h(y) + 9*r(y). Factor o(u).
-2*(u - 65)*(u - 1)*(u + 2)**2
Let m be (1 - -4) + -5 + 15. Let d(i) = i**2 - 3. Let v(p) = 6*p**2 - 8*p - 8. Let y(z) = m*d(z) - 3*v(z). Suppose y(n) = 0. What is n?
1, 7
Let j(d) be the second derivative of -d**4/12 + 3*d**3/2 - d**2 - d + 14. Let q(l) = l - 3. Let k(z) = j(z) - 3*q(z). Let k(b) = 0. Calculate b.
-1, 7
Let o(x) be the first derivative of -x**4 + 80*x**3 - 2184*x**2 + 21632*x + 5566. Solve o(s) = 0.
8, 26
Let a(t) be the first derivative of 4*t**3 + 1214*t**2 + 808*t - 4597. What is g in a(g) = 0?
-202, -1/3
Let p(k) be the second derivative of -k**7/22680 - 13*k**6/3240 + k**5/40 - k**4/6 + 31*k**2/2 + 56*k. Let i(m) be the third derivative of p(m). Factor i(w).
-(w - 1)*(w + 27)/9
Determine x, given that -51200/7 - 2/7*x**2 + 640/7*x = 0.
160
Let y(l) be the third derivative of -5*l**8/84 + 5*l**7/6 - l**6/12 - 305*l**5/12 - 185*l**4/2 - 150*l**3 + 3494*l**2. Determine t so that y(t) = 0.
-5/4, -1, 6
Let t(b) be the first derivative of 40*b + 35/4*b**4 + 34 + 50*b**2 + b**5 + 30*b**3. Find y, given that t(y) = 0.
-2, -1
Let t = -68216 + 477514/7. Determine z so that -t*z**2 - 16/7*z + 18/7 = 0.
-9, 1
Factor -368*w**3 - 1226 - 1086 + 179*w**3 + 8*w**2 + 1156*w + 185*w**3.
-4*(w - 17)*(w - 2)*(w + 17)
Solve -28/3*r**3 - 68*r**2 - 112*r - 80/3 = 0 for r.
-5, -2, -2/7
Let c(b) be the second derivative of b**4/6 - 31*b**3/3 + 108*b**2 - 2*b + 893. Determine n so that c(n) = 0.
4, 27
Let o(y) be the third derivative of 1/40*y**5 + 92*y**2 + 0*y + 0 - 1/4*y**3 - 3/32*y**4 + 3/160*y**6. Find w, given that o(w) = 0.
-1, -2/3, 1
Let w be (-3185)/3822 + ((-55)/(-18) - 2). Factor -20/9 + w*u**3 + 20/9*u**2 - 2/9*u.
2*(u - 1)*(u + 1)*(u + 10)/9
Find c, given that 4/5*c**2 + 108/5*c + 112 = 0.
-20, -7
Let l(z) be the first derivative of -3/7*z**2 + 9 - 9/140*z**5 + 2*z + 1/28*z**4 + 3/14*z**3 + 1/70*z**6. Let t(h) be the first derivative of l(h). Factor t(b).
3*(b - 2)*(b - 1)**2*(b + 1)/7
Suppose 0 = 5*j + 4*m - 10, 4*j + 39*m = 44*m + 8. Let z(f) be the first derivative of 1/8*f**4 + 0*f + 1/2*f**3 + 1/2*f**j + 15. Factor z(q).
q*(q + 1)*(q + 2)/2
Let b(a) be the first derivative of -2/15*a**3 - 48 - 2/25*a**5 + 1/5*a**4 + 0*a + 0*a**2. Find i such that b(i) = 0.
0, 1
Let q(h) = h**3 - 16*h**2 + 51*h - 37. Let o be q(15). Let u = -500 + o. Factor 4/9*l**u - 4/9*l + 2/9*l**4 - 2/9*l**2 + 0.
2*l*(l - 1)*(l + 1)*(l + 2)/9
Let s be (52727/10)/(-2 + 32403/56). Let h = s + -4/3295. Factor 0*i - 12/7*i**4 - h*i**3 + 64/7 - 96/7*i**2.
-4*(i + 2)**3*(3*i - 2)/7
Let p(f) be the first derivative of f**3/24 + 5*f**2/8 - 102*f + 1946. What is v in p(v) = 0?
-34, 24
Let w be 114/14 + 21/(3528/(-24)). Let o(l) be the first derivative of 0*l - w - 4/3*l**3 - 2*l**2. What is x in o(x) = 0?
-1, 0
Suppose 33 = 2*a + 9*a. Find c such that 8*c**3 - 324 + 13*c**a - 2316*c**2 + 15*c**3 + 64 - 1556*c = 0.
-1/3, 65
Let z(m) be the second derivative of 24389*m**6/240 - 15979*m**5/8 + 5481*m**4/16 - 283*m**3/12 + 13*m**2/16 + 433*m - 1. Factor z(a).
(a - 13)*(29*a - 1)**3/8
Let v be ((-94 - -93)/(0 - (-5)/(-10)))/2. Suppose 1221/4*g**2 - 34*g + v - 1089/4*g**3 = 0. Calculate g.
2/33, 1
Let a(u) = 4*u**3 - 2150*u**2 - 4256*u - 2123. Let n(s) = s**3 - 716*s**2 - 1419*s - 708. Let y(l) = 4*a(l) - 14*n(l). Factor y(i).
2*(i + 1)**2*(i + 710)
Solve -191/6*f + 1/6*f**2 - 32 = 0 for f.
-1, 192
Solve -5*f - 39/4*f**2 + 1/4*f**5 + 0 - 17/4*f**3 + 3/4*f**4 = 0 for f.
-5, -1, 0, 4
Let q = 9 - -5. Suppose -3*t + 5*a + 21 = 0, q = 2*t + a - 2*a. Factor -3 - 15*r - t*r**2 + 15*r**3 + 6*r**2 + 4*r**2.
3*(r - 1)*(r + 1)*(5*r + 1)
Let u(o) be the third derivative of -o**7/1050 - o**6/75 - 3*o**5/100 + 3*o**4/20 + 2*o**2 - 9*o - 13. Factor u(f).
-f*(f - 1)*(f + 3)*(f + 6)/5
Let f = 42258 - 42255. Find v such that 8/9*v**2 - v + 1/9*v**f + 0 = 0.
-9, 0, 1
Let n(h) = -45*h**4 - 55*h**3 + 505*h**2 + 1055*h + 580. Let i(r) = -2*r**4 + 2*r**2 - r + 1. Let j(v) = 20*i(v) - n(v). Factor j(g).
5*(g - 7)*(g + 1)**2*(g + 16)
Let g(i) be the first derivative of 2*i**3/9 - 14*i**2/3 - 160*i + 4242. Let g(x) = 0. What is x?
-10, 24
Let x(r) be the second derivative of 0*r**2 + 0 - 5/6*r**3 + 1/2*r**4 + 95*r - 1/20*r**5. Factor x(f).
-f*(f - 5)*(f - 1)
Let u(p) be the first derivative of -3*p**4/4 - 22*p**3 + 558*p**2 - 3672*p + 1688. Find t, given that u(t) = 0.
-34, 6
Suppose 34/9*h**3 - 160/9 + 10/9*h**4 - 250/9*h**2 - 2/9*h**5 + 368/9*h = 0. What is h?
-5, 1, 4
Let w(v) be the third derivative of -1/336*v**8 - 1/3*v**3 + 1/30*v**6 + 1/30*v**5 - 54*v**2 + 0*v + 0*v**7 + 0 - 1/8*v**4. Determine h so that w(h) = 0.
-1, 1, 2
Find i, given that -1860*i + 2193*i**2 - 669*i**3 + 1692/5 - 12/5*i**4 = 0.
-282, 1/4, 1, 2
Factor -1/2*c**2 - 69938 + 374*c.
-(c - 374)**2/2
Let k(d) be the second derivative of d**7/35 + 161*d**6/75 - 28*d**5/25 - 18*d**4/5 - 3506*d. Let k(c) = 0. Calculate c.
-54, -2/3, 0, 1
Let l = 26187 - 26185. Determine d so that 22/9 + 2/9*d**l - 8/3*d = 0.
1, 11
Let c(n) be the first derivative of 25*n**6/6 - 27*n**5 - 765*n**4/4 - 135*n**3 + 3214. Let c(f) = 0. What is f?
-3, -3/5, 0, 9
Let l = -1278/11 - -4318/33. Let u be 8*(5280/256)/55. Suppose -1/3*b**4 - 242*b**2 - 14641/3 + 5324/3*b + l*b**u = 0. What is b?
11
Let v(m) be the first derivative of 4/5*m**5 + 15 + m**2 - 6*m - 9/2*m**4 + 6*m**3. Factor v(r).
2*(r - 3)*(r - 1)**2*(2*r + 1)
Let c(k) = 36*k**2 - 1752*k - 5325. Let p(h) = 5*h**2 - 250*h - 761. Let j(a) = -2*c(a) + 15*p(a). Factor j(b).
3*(b - 85)*(b + 3)
Let x = -14691/22 + 7351/11. Factor -3/2*i**4 - 1/4*i**5 - 2*i**3 + 1 + 9/4*i + x*i**2.
-(i - 1)*(i + 1)**3*(i + 4)/4
Suppose 88*f - 2051 + 1735 = -70*f. Solve 0 - 4/3*l + 1/3*l**f = 0.
0, 4
Find g, given that 1/6*g**2 - 8/3*g + 32/3 = 0.
8
Suppose 3*d + y = 8, 3*d + 0*d + 4*y = 14. Factor -25*i**2 - 33*i**2 + 89*i**d - 32*i**2 + 13*i.
-i*(i - 13)
Let f(i) be the first derivative of -250*i**3/3 + 420*i**2 - 3528*i/5 - 2199. Factor f(a).
-2*(25*a - 42)**2/5
Let v(x) = -17*x + 273. Let f be v(11). Suppose 75 = 91*r - 