(-63) - (4 - s). Factor 18/7*r**3 - i*r**4 - 12/7*r**2 + 0 + 2/7*r.
-2*r*(r - 1)**2*(4*r - 1)/7
Let l(w) be the second derivative of -3*w**5/20 - 9*w**4/4 - 23*w. Find k, given that l(k) = 0.
-9, 0
Let a(b) be the second derivative of -b**9/3024 + b**7/504 + 5*b**4/6 + 10*b. Let o(i) be the third derivative of a(i). Suppose o(x) = 0. Calculate x.
-1, 0, 1
Factor 121*n + 3*n**2 - 252*n + 128*n - 2*n**2.
n*(n - 3)
Let g = -21/16 - -53/40. Let h(p) be the third derivative of 0*p**3 + g*p**5 + 0*p + 0 + 1/16*p**4 + 3*p**2. Let h(i) = 0. What is i?
-2, 0
Factor 72/7*k**2 + 12*k**5 + 248/7*k**4 + 240/7*k**3 + 0 - 4/7*k.
4*k*(k + 1)**3*(21*k - 1)/7
Let z = 10110951/14 + -721672. Let g = 1101/2 - z. Suppose -8/7*f**5 - 6*f**4 - 74/7*f**2 - 4/7 - 30/7*f - g*f**3 = 0. Calculate f.
-2, -1, -1/4
Let f(x) be the second derivative of -x**4/30 + 4*x**3/5 - 36*x**2/5 - 50*x. Let f(p) = 0. What is p?
6
Let u(o) be the third derivative of o**8/90720 + o**7/7560 + o**6/1620 + 13*o**5/60 + o**2. Let w(j) be the third derivative of u(j). Factor w(k).
2*(k + 1)*(k + 2)/9
Suppose 7*p - 23 = 5. Let x(k) be the second derivative of 0*k**2 + 1/42*k**p - 6*k - 2/21*k**3 + 0 + 1/70*k**5. Determine q, given that x(q) = 0.
-2, 0, 1
Let f(c) be the second derivative of c**4/16 + 8*c**3 + 384*c**2 - 154*c. Determine y so that f(y) = 0.
-32
Let f(s) be the third derivative of -15*s**2 + 1/60*s**6 + 1/10*s**5 + 0 + 0*s + 1/4*s**4 + 1/3*s**3. What is m in f(m) = 0?
-1
Let g(t) = 3 + 0*t**3 + 4*t**2 - t**3 + 2*t + 2*t**3 - 6. Let v be g(-3). Factor v + 1/2*i + i**2 + 1/2*i**3.
i*(i + 1)**2/2
Let d = 410 - 402. Solve d*j**2 + 10/3*j**3 + 8/3*j + 0 = 0.
-2, -2/5, 0
Let i be ((-3)/4)/(9/(-24)). Suppose i*t - f = 9, t + 4*f = -5 - 4. Suppose 1428*g**4 + 192*g**2 + 15*g + 3 + 784*g**5 - 3 + g + 820*g**t = 0. What is g?
-1, -2/7, -1/4, 0
Let p be (-31)/93*(-16 + (2 - 1)). Factor 0*v**2 - 4/5*v**p + 0*v + 0*v**3 + 8/5*v**4 + 0.
-4*v**4*(v - 2)/5
Let a be (-18)/(-48)*(-22)/(-9). Let r(u) be the first derivative of 0*u + 2*u**5 - 2/3*u**2 - 4/3*u**3 - 3 - 25/18*u**6 + a*u**4. Factor r(t).
-t*(t - 1)**2*(5*t + 2)**2/3
What is d in 0 - 16/7*d + 4/7*d**2 + 2/7*d**3 = 0?
-4, 0, 2
Suppose 3*c = -4*w + 2*w, 3*w + 4*c = 1. Suppose 2*y**4 - 4*y**4 - 2*y**4 + w*y**2 + y**2 = 0. Calculate y.
-1, 0, 1
Let x(j) be the second derivative of j**5/80 - j**4/24 - 5*j**3/24 + 3*j**2/4 - 74*j + 1. Let x(c) = 0. Calculate c.
-2, 1, 3
Let v(s) be the second derivative of 9*s**5/20 - 11*s**4/2 + 121*s**3/6 - 824*s. Factor v(q).
q*(3*q - 11)**2
Let n = 144476 + -68770211/476. Let b = -2/119 + n. Factor 3/4*f + 9/4*f**3 - 9/4*f**2 + 0 - b*f**4.
-3*f*(f - 1)**3/4
Let c(x) be the third derivative of -x**8/112 + 4*x**7/35 - 3*x**6/5 + 8*x**5/5 - 2*x**4 + 4*x**2 - 1. Solve c(y) = 0 for y.
0, 2
Let y(z) be the second derivative of -z**4/60 + 3*z**3/5 - 81*z**2/10 - 118*z. Determine o, given that y(o) = 0.
9
Let w(x) = -x**2 - 20*x + 4. Let s be w(0). Let b = 4 - -1. Let -1/2*h**b + 1/2*h - h**s + 0*h**3 + h**2 + 0 = 0. Calculate h.
-1, 0, 1
Let u(r) be the second derivative of -1/60*r**4 + 1/150*r**6 + 0*r**2 + 0 + 1/15*r**3 - 1/50*r**5 + r. Factor u(z).
z*(z - 2)*(z - 1)*(z + 1)/5
Let n be (-1 - -2)*7/(-3 + 4). Suppose -4*a = n*a. Let a*g + 0 - 3/4*g**2 = 0. Calculate g.
0
Let s be (-28)/210 - (-64)/30. Let 3/5*r**s + 0 - 3/5*r**3 + 0*r = 0. What is r?
0, 1
Let s be 3/4*24/(48/8). Let j(c) be the first derivative of 0*c - 1/4*c**2 - 1/12*c**s + 5. Let j(h) = 0. Calculate h.
-2, 0
Let c(f) be the second derivative of f**4/16 + 15*f**3/8 + 79*f. Let c(n) = 0. What is n?
-15, 0
Let u(y) = 2*y**3 - 2*y**2 - 1. Let p(x) = -4*x**3 - 14*x**2 - 5. Let s(t) = p(t) - 5*u(t). Solve s(g) = 0 for g.
-2/7, 0
Let v(n) be the first derivative of n**6/2 - 6*n**5/5 - 3*n**4 + 2*n**3 + 9*n**2/2 - 354. Factor v(z).
3*z*(z - 3)*(z - 1)*(z + 1)**2
Let i(c) = -c**3 + 15*c**2 - 23*c - 12. Let p be i(13). Factor 3*h**2 + 3*h**2 + 30*h**4 - 9*h**3 - p*h**4.
3*h**2*(h - 2)*(h - 1)
Suppose -4 - 31 = -5*g. Let b(k) = 6*k**2 + 1. Let r(c) = 4*c**2 + 1. Let p(t) = g*r(t) - 5*b(t). Solve p(q) = 0.
-1, 1
Suppose 2*r = 2*o + 50, 0 = -r - 2*o - 0*o + 37. Let s = 33 + r. Let 62*l - s*l - l**3 + 2*l**4 + 3*l**3 = 0. What is l?
-1, 0
Let b = 10/203 - 827/20909. Let s = 217/1133 - b. Suppose 24/11*y**2 + 96/11*y + s*y**3 + 128/11 = 0. What is y?
-4
Let m(n) = -n**3 - 12*n**2 + 13*n - 2. Let u be m(-13). Let v(w) = 10*w**3 - 2. Let g(r) = -r**3 - r**2 + 1. Let a(t) = u*g(t) - v(t). Let a(h) = 0. What is h?
0, 1/4
Let n(v) be the second derivative of -v**5/70 + 15*v**4/7 - 59*v**3/7 + 88*v**2/7 + 9*v + 45. Factor n(w).
-2*(w - 88)*(w - 1)**2/7
Let z(t) be the first derivative of -t**3/9 + 7*t**2/6 - 2*t - 259. Factor z(x).
-(x - 6)*(x - 1)/3
Let n(h) be the first derivative of -h**6/9 + 8*h**5/15 - 5*h**4/6 + 4*h**3/9 + 36. Factor n(j).
-2*j**2*(j - 2)*(j - 1)**2/3
Let -24/5*v**3 - 192/5 + 582/5*v + 150*v**2 = 0. Calculate v.
-1, 1/4, 32
Let v = -305 + 309. Let u(d) be the first derivative of 67/4*d**v + 12*d**2 + 19*d**3 + 4*d + 39/5*d**5 - 9 + 3/2*d**6. Determine s, given that u(s) = 0.
-1, -2/3
Let v be (-269)/(-2)*((-60)/1662)/10. Let a = 4/277 - v. Factor 0*h - h**3 + 0 - 1/2*h**2 - a*h**4.
-h**2*(h + 1)**2/2
Suppose -1/4*i**2 + 3 + 1/4*i = 0. Calculate i.
-3, 4
Let d(n) be the third derivative of n**9/90720 + n**8/15120 + 11*n**5/60 - 3*n**2. Let k(x) be the third derivative of d(x). Find j such that k(j) = 0.
-2, 0
Let f be (43 + -44 + (-3 - 0))*1/(-2). Determine w, given that 2/11*w + 0*w**3 + 0 - 4/11*w**f - 2/11*w**5 + 4/11*w**4 = 0.
-1, 0, 1
Let b = 141131/4 - 35278. Suppose -1/4*r**5 + 81/4 - 31/2*r**2 + 99/4*r - b*r**4 - 49/2*r**3 = 0. Calculate r.
-9, -1, 1
Let h(z) be the second derivative of z**6/45 + 7*z**5/30 + 2*z**4/3 - 4*z**3/9 - 16*z**2/3 - z + 21. Determine q, given that h(q) = 0.
-4, -2, 1
Let v = 25/18 + 19/90. Find j, given that -8/5 - 6/5*j**3 + 2*j**2 + v*j = 0.
-1, 2/3, 2
Let j be (-30)/8*1768/(-11050). Let j*w**4 - 12/5*w**3 - 12/5*w + 18/5*w**2 + 3/5 = 0. Calculate w.
1
Let c(k) = k**2 - 1. Let w(x) = 15*x**2 - 10*x - 5. Let g(q) = 3*c(q) - w(q). Let g(u) = 0. Calculate u.
-1/6, 1
Find f such that 120*f**3 - 2*f**2 - f**2 + 15*f**2 - 7*f**2 = 0.
-1/24, 0
Let w = -62 - -35. Let s = w - -37. Solve -2*o - 4*o**2 - 4*o**4 - o - 12*o**3 + 5*o + 8 + s*o = 0 for o.
-2, -1, 1
Let r(q) = q**3 + 10*q**2 + 8*q + 6. Let v be r(-9). Suppose 0 = v*d - 8*d. Factor 0*i + 2/15*i**2 + d + 0*i**3 - 2/15*i**4.
-2*i**2*(i - 1)*(i + 1)/15
Suppose -18*k = 9*k + 50*k. Let 3/7*s**4 + 0*s**2 + k*s + 0 - 3/7*s**3 = 0. What is s?
0, 1
Let l(o) be the second derivative of -o**6/90 - 7*o**3/3 + 5*o. Let x(h) be the second derivative of l(h). Suppose x(u) = 0. Calculate u.
0
Let h(a) be the first derivative of -a**4/8 - a**3 - 5*a**2/4 + 43. Factor h(w).
-w*(w + 1)*(w + 5)/2
Let p = -7296/5 + 1460. Let d be (1/1)/5*6. Factor d*b**2 - 2/5*b**4 - p*b + 0*b**3 + 0.
-2*b*(b - 1)**2*(b + 2)/5
Let m be ((-60)/6 - -9)*-1*0. Factor 2*z**3 - 2/3*z**4 + m + 6*z**2 + 10/3*z.
-2*z*(z - 5)*(z + 1)**2/3
Let k(y) be the second derivative of -y**5/15 - y**4/2 - 4*y**3/3 + 4*y**2 + 41*y. Let i(h) be the first derivative of k(h). Factor i(t).
-4*(t + 1)*(t + 2)
Factor -6/7*p**4 + 36/7*p**2 + 0*p**3 - 48/7*p + 18/7.
-6*(p - 1)**3*(p + 3)/7
Let h = 5 + 12. Let i = h + 11. Factor 12 + 8*a + 4*a + i*a + 39*a**2 + 9*a**3.
(a + 3)*(3*a + 2)**2
Let i(a) be the third derivative of -a**8/196 + a**7/735 + 11*a**3/6 + 4*a**2. Let y(x) be the first derivative of i(x). Factor y(z).
-4*z**3*(15*z - 2)/7
Let a(b) be the third derivative of -b**7/1785 + b**6/1020 - 2*b**2 + 2*b. What is o in a(o) = 0?
0, 1
Suppose 3*p + 19 = -71. Let d be -1*18/(-8) + p/(-40). Suppose 32/17*v**d + 18/17*v - 2/17 - 48/17*v**2 = 0. Calculate v.
1/4, 1
Let o = -9910 + 29734/3. Let -2/3*l + 0 - 2/3*l**3 + o*l**2 = 0. Calculate l.
0, 1
Let h(s) be the third derivative of s**6/1800 + s**5/75 + 2*s**4/15 - 7*s**3/2 - 10*s**2. Let z(y) be the first derivative of h(y). Factor z(r).
(r + 4)**2/5
Let p(k) be the second derivative of k**6/75 - 3*k**5/50 + k**4/30 + k**3/5 - 2*k**2/5 - 82*k - 3. What is u in p(u) = 0?
-1, 1, 2
Let k be (-384)/160*1*(-5)/2. Let b(q) be the second derivative of 0 - 2/25*q**5 + 1/75