 - 6*k - 105. Factor r(c).
(c - 6)*(c + 1)*(3*c + 4)/2
Let u(g) be the third derivative of -g**7/420 + 19*g**6/240 - 3*g**5/5 - 28*g**4/3 + 640*g**3/3 - 144*g**2 - 3*g. Factor u(l).
-(l - 8)**3*(l + 5)/2
Let q(s) be the first derivative of -s**4/2 + 2266*s**3/3 - 321488*s**2 + 640712*s + 584. Factor q(o).
-2*(o - 566)**2*(o - 1)
Let d be (-5 - 238/(-35)) + 3/15. Suppose d*x + x = -2*m + 11, 8 = m + 4*x. Let 2/3 + 2*j**m + 4/3*j - 4/3*j**3 - 8/3*j**2 = 0. Calculate j.
-1, -1/3, 1
Find u, given that -428/11*u**2 + 0*u + 0 + 424/11*u**3 - 1/11*u**5 - 103/11*u**4 = 0.
-107, 0, 2
Let f(q) be the third derivative of 1/60*q**6 - 7/12*q**4 + 0*q - 189*q**2 + 0 - 1/420*q**7 - 5*q**3 + 13/120*q**5. What is l in f(l) = 0?
-2, 3, 5
Let j(i) be the first derivative of 4*i**3/3 - 122*i**2 + 1120*i + 1437. Determine n so that j(n) = 0.
5, 56
Let a(w) be the second derivative of -1/9*w**3 + 266*w + 2*w**2 + 0 - 1/18*w**4. Factor a(g).
-2*(g - 2)*(g + 3)/3
Let b(d) = d**4 - 5. Let p(t) = 2. Let v(i) = 15. Let u(w) = -6*p(w) + v(w). Let o(l) = -3*b(l) - 5*u(l). Factor o(c).
-3*c**4
Determine q so that -6504/7*q - 2/7*q**2 - 5287752/7 = 0.
-1626
Suppose -2*b + 126 = 2*d - 36, -336 = -4*b + 2*d. Let j = b + -80. Factor -3*i**3 + 5*i - 29*i**j - 28*i**3 - 80*i**4.
-5*i*(2*i + 1)**2*(4*i - 1)
Let r(o) be the third derivative of o**5/240 + 773*o**4/96 - 129*o**3/4 - 92*o**2 - 5*o + 2. Let r(f) = 0. What is f?
-774, 1
Let c(m) be the first derivative of 2*m**3/9 + 70*m**2/3 + 806*m - 747. Suppose c(h) = 0. Calculate h.
-39, -31
Let c(q) be the first derivative of -2*q**3/33 - 50*q**2/11 + 102*q/11 + 4413. Factor c(i).
-2*(i - 1)*(i + 51)/11
Let v be ((-1)/5)/((-104)/63180) + 0. Let j = 135 - v. Factor -j*a - 3/4*a**2 - 243/4.
-3*(a + 9)**2/4
Let m(z) = -5*z**2 + 18*z - 92. Let f(a) = -37*a**2 + 126*a - 650. Let o(w) = -4*f(w) + 30*m(w). Find v such that o(v) = 0.
8, 10
Let u(g) be the third derivative of -g**6/200 - 77*g**5/100 - 71*g**4/5 - 552*g**3/5 - 2493*g**2. Factor u(z).
-3*(z + 4)**2*(z + 69)/5
Let i(x) = -4*x**3 + 56*x**2 - 150*x + 108. Let h(b) = b - 2. Let g = 63 + -62. Let m(f) = g*i(f) + 10*h(f). Factor m(y).
-4*(y - 11)*(y - 2)*(y - 1)
Suppose -228150 + 1170*q - 3/2*q**2 = 0. Calculate q.
390
Solve 74/17*v**4 - 602/17*v**2 - 576/17 - 1476/17*v + 4/17*v**5 + 128/17*v**3 = 0 for v.
-16, -3, -2, -1/2, 3
Factor -r**2 - 282*r + 14 - 106 + 65*r - 124.
-(r + 1)*(r + 216)
Let 2/3*p**4 + 0 - 4/3*p**3 + 4/3*p - 2/3*p**2 = 0. Calculate p.
-1, 0, 1, 2
Let a(h) be the second derivative of h**4/12 - h**3 - 8*h**2 - 5*h + 314. Factor a(r).
(r - 8)*(r + 2)
Let o(d) be the second derivative of d**4/12 - 47*d**3/2 - 71*d**2 + 4049*d. Solve o(h) = 0 for h.
-1, 142
Suppose 3*g - 230 + 62 = 4*c, 2*c + 4*g = -62. Let w = -14 - c. Factor 49 - 35 + 5*r**3 - 24 + w*r - 20*r**2.
5*(r - 2)*(r - 1)**2
Solve 3/4*z**2 + 255/2 - 261/4*z = 0 for z.
2, 85
Let m(w) = -6*w**4 + 36*w**3 + 84*w**2 + 213*w + 117. Let c(z) = 7*z**4 - 56*z**3 - 85*z**2 - 210*z - 116. Let i(x) = 3*c(x) + 4*m(x). Factor i(f).
-3*(f - 4)*(f + 1)**2*(f + 10)
Let n(t) be the second derivative of t**5/4 - 4305*t**4/4 + 3706605*t**3/2 - 3191386905*t**2/2 + 1100*t - 1. Factor n(p).
5*(p - 861)**3
Let f(x) be the second derivative of 7 - 1/30*x**4 + 2*x - 1/3*x**3 - 6/5*x**2. Factor f(t).
-2*(t + 2)*(t + 3)/5
Let o(c) be the first derivative of 90*c**3 + 34 + 10*c**5 + 135/2*c**2 + 5/6*c**6 + 0*c + 45*c**4. Let o(v) = 0. What is v?
-3, -1, 0
Let g(h) be the third derivative of h**7/42 - 5*h**6/24 + h**5/4 + 25*h**4/24 - 10*h**3/3 - h**2 - 12. Suppose g(v) = 0. What is v?
-1, 1, 4
Let a be ((-14)/21)/(-2*(-3)/(-18)). Let f be (-1550)/(-124) - (-14)/a. Solve -f*n**2 - 15/2*n**3 - 6*n + 6 = 0 for n.
-2, -1, 2/5
Let m(o) be the third derivative of -o**5/40 + 43*o**4/48 - 7*o**3/6 - 2960*o**2. Factor m(a).
-(a - 14)*(3*a - 1)/2
Let c(a) be the third derivative of -a**7/84 + a**6/8 + 5*a**5/24 - 35*a**4/8 - 50*a**3/3 - 3382*a**2. Solve c(w) = 0.
-2, -1, 4, 5
Let g(f) = -5 + 121 - 5*f**2 - 32*f - 24. Let m(i) = 33*i**2 + 225*i - 645. Let v(h) = 27*g(h) + 4*m(h). Factor v(p).
-3*(p - 8)*(p - 4)
Let j(c) be the second derivative of c**8/3360 - 17*c**7/5040 + c**6/90 - c**5/80 + 43*c**4/6 + 68*c. Let q(w) be the third derivative of j(w). Factor q(r).
(r - 3)*(r - 1)*(4*r - 1)/2
Let r(u) = u**3 + u + 1. Let x(c) be the second derivative of -c**4/3 - c**2 + 45*c - 9. Let q be 5/7 - 6/(-21). Let i(t) = q*x(t) + 2*r(t). Factor i(g).
2*g*(g - 1)**2
Let m be -7 + (1 - (5 + 25)). Let c be (1*(-3)/(-30))/((-6)/m). Factor 1/5 + 1/5*b**5 - 3/5*b - c*b**4 + 2/5*b**3 + 2/5*b**2.
(b - 1)**4*(b + 1)/5
Let t = 1217/21 - 173/3. Factor 0 - 12/7*n - t*n**2.
-2*n*(n + 6)/7
Let k(m) = 4*m - 42. Let a be k(11). Let t(z) = -z**a + z + 77 - 77. Let v(f) = -2*f**3 - 48*f**2 - 288*f - 686. Let n(s) = -6*t(s) + v(s). Factor n(c).
-2*(c + 7)**3
Let t(x) be the first derivative of 4*x**6/15 + 74*x**5/25 + 17*x**4/2 - 34*x**3/15 - 89*x**2/5 - 8*x + 1146. Solve t(i) = 0.
-5, -4, -1, -1/4, 1
Factor 2/7*i**2 - 60/7 + 2*i.
2*(i - 3)*(i + 10)/7
Suppose -3*d = 3, -3*d - 28 + 5 = -5*s. Factor -s*j + 2*j**4 - 4*j**5 + 3*j**5 - 10*j**2 - 6*j**3 + 0*j**5 + 3*j**5.
2*j*(j - 2)*(j + 1)**3
Let g be (1/3)/(2674/4584). Suppose -g - 2/7*i + 2/7*i**2 = 0. Calculate i.
-1, 2
Let w(q) be the third derivative of q**8/420 - 43*q**6/150 + 74*q**5/75 + 32*q**4/5 - 448*q**3/15 - 2*q**2 + 128. Solve w(n) = 0 for n.
-7, -2, 1, 4
Suppose 0 = -2*s - 4*a - 12 + 6, -a - 14 = -2*s. Suppose 3*h - 5*u + 10 = 13, -s*h + 2*u + 5 = 0. What is l in -5/2*l**3 - 1/2*l**4 - 9/2*l**2 - h - 7/2*l = 0?
-2, -1
Let i(q) be the third derivative of -q**8/1344 - 109*q**7/210 + 439*q**6/120 - 22*q**5/3 + 14*q**2 - 135*q + 1. Factor i(t).
-t**2*(t - 2)**2*(t + 440)/4
Suppose 15 = 2*s + 7. Suppose 8 = 5*i - 4*i - 2*v, -s*i = 4*v - 8. Let 2*x**4 + 9*x**5 - i*x**3 + 3*x**3 - 2*x**2 - 8*x**5 = 0. What is x?
-2, -1, 0, 1
Let y(m) be the third derivative of -m**8/1344 - 19*m**7/840 - m**6/480 + 97*m**5/80 - 45*m**4/16 + 2*m**2 - 556*m - 5. Determine r, given that y(r) = 0.
-18, -5, 0, 1, 3
Find h, given that 2*h**2 + 0 + 0*h + 3*h**4 + 9/2*h**3 + 1/2*h**5 = 0.
-4, -1, 0
Let y(j) = j**3 - 15*j**2 + 61*j - 23. Let c be y(7). Let g(l) be the second derivative of 0 - c*l + 1/4*l**4 + 0*l**3 + 3/20*l**5 + 0*l**2. Factor g(p).
3*p**2*(p + 1)
Let j = 1329832 - 1329830. Factor -41/7 - 1/7*o**j - 6*o.
-(o + 1)*(o + 41)/7
Factor -1/9*y**2 - 3412/9*y - 2910436/9.
-(y + 1706)**2/9
Let -2/17*g**4 + 0 - 52/17*g**2 + 30/17*g**3 + 0*g = 0. What is g?
0, 2, 13
Factor 114 - 243 + 14*z**3 + 79*z - 2*z**4 + 129 - 22*z**2 - 69*z.
-2*z*(z - 5)*(z - 1)**2
Suppose 5*c = -13 - 7, 3*o = c + 43. Suppose 4 = o*j - 12*j. What is t in -10 - 2*t**2 - j*t + 2*t**4 - 2*t**5 + 6*t**3 + 8 + 2 = 0?
-1, 0, 1, 2
Suppose -12*n = -i - 13*n + 4, 3*i + n = 8. Let j(x) be the first derivative of 0*x**4 + 0*x - 9 - 2/5*x**5 + 2*x**2 + i*x**3. Solve j(m) = 0.
-1, 0, 2
Let m(b) be the third derivative of -b**8/168 - 8*b**7/105 - 7*b**6/30 + 2*b**5/3 + 13*b**4/4 - 12*b**3 + 1133*b**2. Solve m(w) = 0.
-4, -3, 1
Let z(f) be the second derivative of -2*f**7/21 - 88*f**6/5 + 271*f**5/5 + 398*f**4/3 - 360*f**3 - 1072*f**2 + 3058*f. What is g in z(g) = 0?
-134, -1, 2
Let i(x) be the second derivative of -x**5/140 - 19*x**4/84 - 40*x**3/21 + 50*x**2/7 - 2*x + 148. Find n such that i(n) = 0.
-10, 1
Suppose 0 = -2*w + 3*t + 22, -t - t - 33 = -5*w. Suppose 4*a**4 + 486*a**2 - 2 - 488*a**2 - 4*a**3 + 5*a + 3*a**5 - 4*a**w = 0. What is a?
-1, 1, 2
Suppose -2/17*z**3 + 2388/17*z**2 + 126089584/17 - 950424/17*z = 0. Calculate z.
398
Suppose -993*q - 3630 + 203846*q**3 - 203841*q**3 - 382*q - 40*q**2 = 0. What is q?
-11, -3, 22
Suppose 14*q - 19 = 191. Determine j, given that q*j + 0*j**3 - 28*j**3 - 2*j**3 - 5*j**5 + 160*j**2 - 35*j**4 + 145*j = 0.
-4, -1, 0, 2
Let k(h) be the first derivative of -h**5/5 - 39*h**4/4 - 38*h**3/3 + 5348. Determine c, given that k(c) = 0.
-38, -1, 0
Suppose 2*a + 741 = -1713. Let s = 6136/5 + a. What is c in 1/5*c + s*c**2 - 2/5 = 0?
-2, 1
Let q = 4847 - 4847. Factor -9/2*d - 3/2*d**3 + q - 6*d**2.
-3*d*(d + 1)*(d + 3)/2
Let z(t) be the third derivative of -t**6/24 + 19*t**5/6 + 35*t**4 - t**2 + 179*t. Suppose z(w) = 0. What is w?
-4, 