4 + 0*k + 0*k**2 + 9/4*k**3 + 0 = 0. Calculate k.
0, 9
Let p be 13/((-130)/(-30)) + -979. Let q = p - -4882/5. Let -2*o + 8/5*o**2 + q = 0. What is o?
1/4, 1
Suppose 21/4*x**2 + 411/2 - 2883/4*x = 0. What is x?
2/7, 137
Let r(y) = -y**2 + 6*y + 137. Let k be r(15). Factor -24*c**3 + 34*c**2 + 6*c**2 + 10*c**3 - 2*c**4 - k*c**3.
-2*c**2*(c - 2)*(c + 10)
Determine m so that 2/5*m - 1528/5*m**2 + 0 = 0.
0, 1/764
Let -28/3*f**3 - 4/3*f**4 + 80*f**2 + 0*f + 0 = 0. Calculate f.
-12, 0, 5
Let l(x) = 2*x**3 + 40*x**2 - 150*x - 480. Let y(o) = -o**3 - 40*o**2 + 151*o + 481. Let s be -2*1/(-2)*4. Let b(j) = s*y(j) + 3*l(j). Solve b(f) = 0.
-2, 11
Let k be (-24)/(-120) + 2 + -2. Suppose 3 = 5*m - 4*i, -4*m + i = 5*i - 24. Suppose -4/5*o + o**2 + 0 - k*o**m = 0. Calculate o.
0, 1, 4
Let x(k) be the second derivative of -5*k**4/28 - 6*k**3/7 + 66*k**2/7 - 515*k - 2. Factor x(v).
-3*(v - 2)*(5*v + 22)/7
Let y(d) be the second derivative of -4*d**7/189 + d**6/9 - 17*d**5/90 + d**4/9 - 12730*d. Suppose y(g) = 0. What is g?
0, 3/4, 1, 2
Suppose -11*m - 13*m = -176880. What is c in m*c**4 - 72*c - 32 - 3684*c**4 - 4*c**5 - 28*c**2 + 28*c**3 - 3674*c**4 = 0?
-1, 2, 4
Suppose -2*d = 4*b - d - 1459, -5*b + 3*d = -1828. Factor 91 - 34*p + 3*p**2 - 56*p + 219 + b.
3*(p - 15)**2
Let b(k) be the first derivative of -2*k**5/55 + 31*k**4/11 - 214*k**3/3 + 6696*k**2/11 - 23328*k/11 - 4727. Find z such that b(z) = 0.
4, 27
Suppose 4*g - 49 = -4*j + 79, 5*j - 125 = 2*g. Suppose 12*c = 3*c + j. Let -30*h**4 + 34*h**c + h**2 + 25*h**2 - 12*h - 16*h - 6*h + 4 = 0. What is h?
-1, 2/15, 1
Let b(o) = -4*o**3 - 328*o**2 - 7597*o - 34653. Let t(q) = 12*q**3 + 984*q**2 + 22792*q + 103960. Let a(h) = 8*b(h) + 3*t(h). Solve a(m) = 0.
-38, -6
Suppose 0*g + 4*g + 5*i - 549 = 0, 4*g - 546 = -2*i. What is y in 6131*y - 6203*y + 2*y**2 + 496 + 16 + g = 0?
18
Let c(t) be the first derivative of t**4 - 40*t**3/3 + 42*t**2 - 2261. Factor c(g).
4*g*(g - 7)*(g - 3)
Suppose 692 - 23600 = -332*i. Factor -3/2*s**2 + i*s - 1587/2.
-3*(s - 23)**2/2
Suppose -y = -2*y - 3*y. Let i be y/9 + -1 + (-2 - -3). Let i*j**2 + 0*j + 0 - 3/4*j**3 = 0. What is j?
0
Determine z so that 2444 + 135 + 6*z**3 - 179 - 10*z**3 + 1280*z + 190*z**2 + 9*z**3 = 0.
-30, -4
Let h = -2163 + 2113. Let g be (5 - (-290)/h)*-5. Factor -1/5*a + 1/5*a**g + 0 + 1/5*a**3 - 1/5*a**2.
a*(a - 1)*(a + 1)**2/5
Let g(r) be the third derivative of r**5/390 + 25*r**4/6 - 1304*r**3/39 - 10438*r**2. Factor g(d).
2*(d - 2)*(d + 652)/13
Let d(x) = 21*x**2 + 1196*x - 304. Let l(m) = 42*m**2 + 2354*m - 607. Let i(u) = 7*d(u) - 4*l(u). Factor i(g).
-3*(g + 50)*(7*g - 2)
Factor 1/4*z**3 + 17*z + 76 - 10*z**2.
(z - 38)*(z - 4)*(z + 2)/4
Let w = -116470 - -116476. Find t, given that w*t**2 + 14*t + 22/3 - 2/3*t**3 = 0.
-1, 11
Let b = 8832673/5 - 1766513. Factor 45*u**3 + 3/5*u**5 + 72*u - b - 87*u**2 - 9*u**4.
3*(u - 6)**2*(u - 1)**3/5
Let t(n) = 2*n**2 + 14*n + 4. Let h be t(-7). Let -h + 67*m - 515*m**2 + 0 + 110*m**2 + 41*m = 0. Calculate m.
2/45, 2/9
Let y be (48/72)/(2/24). Factor 10*o**2 - 4*o**3 + 12*o + 10*o**2 + 4*o - y*o**2.
-4*o*(o - 4)*(o + 1)
Find a such that 4*a**3 + 29*a - 121*a - 140 - 56*a - 2*a**2 - 2*a**2 = 0.
-5, -1, 7
Let z(v) be the first derivative of 78 + 216*v + 1485/4*v**4 + 834*v**3 + 654*v**2 + 15*v**5. Solve z(q) = 0 for q.
-18, -1, -2/5
Let h = -452 + 476. Factor -9*x**2 - 3*x**2 - 240098*x**4 + h*x - 6*x**3 + 240101*x**4.
3*x*(x - 2)**2*(x + 2)
Factor -39/2*z**3 - 1/2*z**4 + 648 - 414*z - 214*z**2.
-(z - 1)*(z + 4)*(z + 18)**2/2
Let v(n) be the third derivative of -n**7/70 - 59*n**6/40 - 171*n**5/20 - 169*n**4/8 - 28*n**3 + 153*n**2 - 3. Factor v(y).
-3*(y + 1)**3*(y + 56)
Let n = -9928/217 - -1436/31. Let i(b) = -b**2 - 5*b + 2. Let m be i(-5). Find t, given that 16/7 + 8/7*t**3 - 16/7*t + n*t**4 - 12/7*t**m = 0.
-2, 1
Suppose 16 = -12*g + 76. Let q(o) be the second derivative of 40*o**3 - 96*o**2 - o**6 + 5*o**4 + 15*o - 1/14*o**7 - 15/4*o**g + 0. Find b such that q(b) = 0.
-4, 1
Solve 10*y - 4*y - 25*y - 1510*y**5 + 1511*y**5 - 215*y**2 + 19*y**4 - 37*y + 55*y**3 + 196 = 0.
-14, -7, -1, 1, 2
Suppose 2*b - 1 = i, 2*i + b = 4*b. Let o(g) = -5*g - 2. Let d be o(-1). Find y such that 2*y**4 - 2*y + 1 + 4*y - 7*y**d - i*y**4 + 5*y**3 = 0.
-1, 1
Factor 1831*f - 39*f**3 + 82*f**2 - 7*f**3 + 4 - 1863*f + 11*f**4 - 19*f**2.
(f - 2)*(f - 1)**2*(11*f - 2)
Let y(p) be the first derivative of -158/51*p**3 + 60 + 7/34*p**4 + 92/17*p**2 - 40/17*p. Let y(v) = 0. Calculate v.
2/7, 1, 10
Let v(i) be the second derivative of -13*i**4/6 - 320*i**3 + 148*i**2 - 544*i - 1. Factor v(l).
-2*(l + 74)*(13*l - 2)
Let c(k) be the first derivative of -k**6/600 - 17*k**5/200 + 9*k**4/20 + 42*k**3 + 105. Let r(b) be the third derivative of c(b). Factor r(l).
-3*(l - 1)*(l + 18)/5
Let l(y) be the first derivative of 1/12*y**5 - 5/8*y**4 + 0*y + 5/3*y**3 + 7*y**2 - 13. Let j(h) be the second derivative of l(h). What is z in j(z) = 0?
1, 2
Let r(y) be the first derivative of -y**6/3 - 266*y**5/5 - 251*y**4/2 + 2906*y**3/3 + 1536*y**2 - 9432*y - 7439. Let r(k) = 0. Calculate k.
-131, -3, 2
Let d(v) = -2*v**2 - 2*v - 1. Let i(a) = -a**2 + 102*a - 106. Let b(t) = d(t) - i(t). Solve b(p) = 0 for p.
-105, 1
Let v = 11412 + -11407. Let u(j) be the second derivative of 1/6*j**6 + 5/12*j**4 + 3/4*j**5 - 5*j**2 - 5/2*j**3 + 0 + v*j. What is z in u(z) = 0?
-2, -1, 1
Let q(f) = 2*f**2 + 31*f - 28. Let l be q(-16). Let a be (-1)/(5/(520/l)). Factor -4*i**3 - 8/3 - 8*i - a*i**2 - 2/3*i**4.
-2*(i + 1)**2*(i + 2)**2/3
Suppose -y + 8*y = 63. Let u be (-6*1)/(y + -8). Let l(t) = -4*t**3 - 6*t**2 - 2*t. Let f(m) = -m**3 - m. Let v(a) = u*f(a) + l(a). Factor v(d).
2*d*(d - 2)*(d - 1)
Suppose -54*z = -50*z + v - 1916, -3*v - 1932 = -4*z. Factor -1 - 353*h**3 + 65*h + 0 - 5 - 296*h + 110*h**3 + z*h**2.
-3*(h - 1)**2*(81*h + 2)
Let t(n) be the first derivative of -1/10*n**5 + 55 + 3*n + 5/8*n**4 - 5/4*n**2 - 5/6*n**3. Solve t(v) = 0 for v.
-1, 1, 2, 3
Let b(s) be the first derivative of -s**6/120 - s**5/10 - 11*s**4/24 - s**3 - 73*s**2/2 + 120. Let p(g) be the second derivative of b(g). Factor p(z).
-(z + 1)*(z + 2)*(z + 3)
Let i(p) be the second derivative of -p**7/21 - p**6/5 + p**5/5 + 2*p**4 + 8*p**3/3 + 7622*p. Find t such that i(t) = 0.
-2, -1, 0, 2
Factor 79/4*g + 25/4*g**3 + 3/4 + 101/4*g**2.
(g + 1)*(g + 3)*(25*g + 1)/4
Let r = -11349 + 11349. Let s(t) be the third derivative of 0*t + 1/210*t**7 + 0*t**4 + 2/3*t**3 - 1/12*t**5 + r*t**6 - 22*t**2 + 0. What is w in s(w) = 0?
-2, -1, 1, 2
Let y(f) be the second derivative of 0 + 1/80*f**5 + 209*f + 5/24*f**4 + 3/8*f**3 + 0*f**2. Solve y(o) = 0.
-9, -1, 0
Let m(r) = -657*r - 15764. Let j be m(-24). Solve -208/3*s + 386/9*s**2 + 32 + 2/9*s**j - 52/9*s**3 = 0.
1, 12
Let a(p) be the second derivative of -p**9/7560 - 11*p**8/1120 - 5*p**4/12 - 10*p**3/3 + 112*p. Let z(m) be the third derivative of a(m). Solve z(v) = 0 for v.
-33, 0
Let f(n) = 112*n**3 + 17505*n**2 - 5010*n + 14. Let c(w) = 37*w**3 + 5835*w**2 - 1670*w + 4. Let h(k) = 7*c(k) - 2*f(k). Factor h(z).
5*z*(z + 167)*(7*z - 2)
Let t = -4859/53 + 25249/265. Factor -t*n - 3/5*n**2 + 21/5.
-3*(n - 1)*(n + 7)/5
Let d(v) = -4*v**2 + 157*v - 1140. Let u(m) = -2*m**2 + 79*m - 572. Let a(r) = -3*d(r) + 5*u(r). Factor a(z).
2*(z - 28)*(z - 10)
Let q be (-4)/9 + 80/(-144). Let i be (-10 + 559/52)/(q/(-4)). Let 10/11*v**i + 6/11*v + 14/11*v**2 + 2/11*v**4 + 0 = 0. Calculate v.
-3, -1, 0
Let g(n) = -2*n**4 + 10*n**3 - 5*n**2 + 3. Let d(i) = 2*i**4 - 10*i**3 + 4*i**2 - 4. Let t(m) = -3*d(m) - 4*g(m). Factor t(r).
2*r**2*(r - 4)*(r - 1)
Let l be ((-152)/(-90))/4 - (24 - (-2856)/(-120)). Let s(h) be the first derivative of 0*h**2 - 1/6*h**4 + 0*h - l*h**3 - 11. Factor s(k).
-2*k**2*(k + 1)/3
Factor -113*i + 48*i**2 + 120 - 2*i**3 + 285*i - 2*i**3 + 0*i**3.
-4*(i - 15)*(i + 1)*(i + 2)
Factor 0 - 3/4*t**3 + 9/4*t**2 + 81/2*t.
-3*t*(t - 9)*(t + 6)/4
Let v(q) be the first derivative of -q**4 + 108*q**3 - 772*q**2 + 1824*q - 3531. Suppose v(s) = 0. What is s?
2, 3, 76
Let y(g) be the first derivative of 10/13*g + 34/39*g**3 + 16/13*g**2 + 3/13*g**4 - 165. Suppose y(p) = 0. What is p?
-1, -5/6
Let k(w) be the second derivative of w**4/6 + 25*w**3/3 - 84*w**2 + 2*w - 91. Factor