) be the second derivative of c**4/48 + 101*c**3/4 + 605*c**2/8 + 8085*c. What is v in m(v) = 0?
-605, -1
Let -17/2*i**2 + 0 - 3*i = 0. What is i?
-6/17, 0
What is x in 7/5*x**3 - 152/5 - 217/5*x + 1/10*x**4 - 117/10*x**2 = 0?
-19, -2, -1, 8
Let x(v) be the second derivative of 50*v**6/3 + 1930*v**5 + 3820*v**4 + 9136*v**3/3 + 1216*v**2 + 628*v. Factor x(q).
4*(q + 76)*(5*q + 2)**3
Let o = 60 + -60. Let b be (0/4)/3 + o + 0. Determine t, given that 4*t**2 - 2*t**3 + t**5 + 2 + b - 4*t**2 + t + 2*t**4 - 4*t**2 = 0.
-2, -1, 1
Suppose -6*i + 9*i - k = 33, -2*i + 5*k + 9 = 0. Suppose 0 = -5*a - 3*d + 30 - 1, 4*d = i. Factor -6/7*r**2 + 0 - 3/7*r**a + 0*r + 11/7*r**3.
-r**2*(r - 3)*(3*r - 2)/7
Let x(m) be the second derivative of -m**8/14280 + m**6/612 - m**4/51 + 5*m**3/6 + 23*m. Let h(y) be the second derivative of x(y). Let h(v) = 0. Calculate v.
-2, -1, 1, 2
What is r in -4/3*r**2 + 148*r - 872/3 = 0?
2, 109
Let v(o) be the first derivative of 41/18*o**3 - 1/24*o**4 - 147/2*o + 26 - 133/4*o**2. What is g in v(g) = 0?
-1, 21
Let j(y) = 13*y**3 - 26*y**2 - 21*y + 7. Let c(v) = -4*v**3 + 8*v**2 + 6*v - 2. Let t(l) = -7*c(l) - 2*j(l). Solve t(q) = 0 for q.
0, 2
Factor 1/3*k**2 - 11/3*k - 4.
(k - 12)*(k + 1)/3
Let s(g) be the first derivative of -g**6/72 - g**5/4 + 6*g**3 - 51. Let y(x) be the third derivative of s(x). Find i, given that y(i) = 0.
-6, 0
Suppose 2*v - 2*n - 316 = 0, -622 = -4*v - 0*v - n. Let q be 4 - v/42 - (1 + -1). Factor -q*z**2 + 8/7*z + 0.
-2*z*(z - 4)/7
Factor -848*p**3 + 35910*p**2 + 0*p**4 + 16218*p**2 + 352800 - 187929*p + 2*p**4 - 168231*p + 39440*p**2.
2*(p - 210)**2*(p - 2)**2
Determine n so that -10*n - 1/2*n**2 + 7/4*n**3 - 1/4*n**4 + 0 = 0.
-2, 0, 4, 5
Let w(s) = 2*s**3 - 9*s**2 - 8*s + 16. Let m(u) = u**3 - 9*u**2 - 8*u + 15. Let z(o) = 3*m(o) - 2*w(o). Let n be z(-8). Factor n - 10 - y**2 - 2.
-(y - 1)*(y + 1)
Find c such that -39*c + 0 - 1/2*c**2 = 0.
-78, 0
Let o(z) be the second derivative of -z**7/4620 + z**6/1980 + z**3/3 - 9*z**2 - 47*z. Let r(w) be the second derivative of o(w). Factor r(t).
-2*t**2*(t - 1)/11
Let c(w) be the first derivative of 4*w**5/5 - 43*w**4 + 164*w**3 - 242*w**2 + 160*w - 1554. Find k such that c(k) = 0.
1, 40
Let k be ((20/110)/1)/(5/55). Let z(u) be the third derivative of 0*u**3 + 0 - 5*u**k + 0*u - 1/60*u**5 + 1/12*u**4. Solve z(g) = 0 for g.
0, 2
Let o = -369 + 380. Factor 8*a**3 + 16*a**2 - 4 - 13*a**2 - o*a**2 - 14*a.
2*(a - 2)*(2*a + 1)**2
Let k = 227 - 191. Suppose -2*i - 17 = -a - 3, 4*a - k = 4*i. Factor 0 + 3/2*g**a + 3*g**2 - 1/4*g**5 - g - 13/4*g**3.
-g*(g - 2)**2*(g - 1)**2/4
Let h(g) be the second derivative of g**5/5 + 303*g**4 + 1816*g**3/3 + 3142*g. Solve h(x) = 0 for x.
-908, -1, 0
Let m(t) be the third derivative of -t**6/72 - 7*t**5/24 - 5*t**4/4 - 41*t**3/6 + 58*t**2. Let o(r) be the first derivative of m(r). Factor o(c).
-5*(c + 1)*(c + 6)
Let w(i) = -i**4 - i**3 + i - 1. Let j(a) = -20*a**4 + 70*a**3 - 435*a**2 + 490*a + 985. Let y(o) = j(o) - 15*w(o). Suppose y(h) = 0. Calculate h.
-1, 5, 8
Let r be 39/(-1)*809/(-10517). Solve -14/11*q**2 + 18/11*q + 16/11 - 2/11*q**4 - 18/11*q**r = 0 for q.
-8, -1, 1
Let b(i) be the first derivative of -i**6/630 + 29*i**5/210 + 5*i**4/7 + 83*i**3/3 + i**2/2 + 111. Let d(j) be the third derivative of b(j). Factor d(m).
-4*(m - 30)*(m + 1)/7
Let n(x) be the second derivative of x**5/50 - 11*x**4/30 - 221*x**3/15 + 231*x**2/5 + 4226*x. Suppose n(a) = 0. What is a?
-11, 1, 21
Suppose 9*l - 27 = -z + 5*z, 0 = 4*z - 2*l + 6. Suppose z*w**2 - 2/5*w**4 + 26/5*w**3 + 0 + 0*w = 0. What is w?
0, 13
Factor -970225/2 - 1/2*y**4 - 971210*y - 487083*y**2 - 986*y**3.
-(y + 1)**2*(y + 985)**2/2
Let k = 4551 + -4551. Let y(x) be the third derivative of 2/15*x**5 + 1/60*x**6 - 2*x**3 + 1/12*x**4 - 17*x**2 + k*x + 0. Find p, given that y(p) = 0.
-3, -2, 1
Suppose -129/2*g**2 + 36 + 6*g**3 + 255/2*g = 0. What is g?
-1/4, 3, 8
Let t be ((-20)/(-54))/((-16)/(-144)). Let u be (25/(-2))/(9/(-6)). Suppose -t*w + 1/3*w**2 + u = 0. Calculate w.
5
Let a(u) be the third derivative of u**5/40 + 237*u**4/16 + 3*u**2 - 274*u. Determine k so that a(k) = 0.
-237, 0
Let t(o) = -2*o**3 - 227*o**2 - 1186*o + 218. Let f be t(-108). Determine l, given that l**f - 3/4 - 1/4*l = 0.
-3/4, 1
Let s = 881575/3 + -293849. Factor 16 - s*u**2 + 4/3*u**3 + 16/3*u.
4*(u - 6)*(u - 2)*(u + 1)/3
Let v(i) = -9*i**2 + 393*i - 489. Let j(h) be the second derivative of h**4/6 - 33*h**3/2 + 61*h**2 - 88*h. Let n(d) = 21*j(d) + 5*v(d). What is t in n(t) = 0?
-39, 1
Let b = 10693/12 - 891. Let m(i) be the second derivative of 0 + 1/40*i**5 - 1/48*i**4 - b*i**3 - 19*i + 0*i**2 + 1/120*i**6. Factor m(t).
t*(t - 1)*(t + 1)*(t + 2)/4
Let a(k) = -10*k**2 + 652*k + 53141. Let n(w) = -46*w**2 + 3260*w + 265704. Let h(m) = 28*a(m) - 6*n(m). Factor h(v).
-4*(v + 163)**2
Let q(d) be the third derivative of 2/15*d**3 - 1/12*d**4 + 2/75*d**5 + 0*d + 0 - 1/300*d**6 + 130*d**2. Solve q(c) = 0.
1, 2
Let i = -95391 + 1049327/11. Find u, given that -i*u + 10/11 + 16/11*u**2 = 0.
5/8, 1
Let t(z) = -z**3 + 17*z**2 + 47*z + 57. Let q(v) = -v**3 + 17*v**2 + 44*v + 56. Let o(s) = 3*q(s) - 4*t(s). Let i be o(20). Factor 245/4*k**2 + i - 70*k.
5*(7*k - 4)**2/4
Let o(u) be the second derivative of u**6/30 - 11*u**5/20 - 37*u**4/4 + 1111*u**3/6 + 605*u**2 - 77*u - 4. Suppose o(l) = 0. Calculate l.
-10, -1, 11
Suppose 521*o = 238 + 804. Factor 25/3*r**o + 3 - 10*r.
(5*r - 3)**2/3
Let q(p) be the first derivative of 2/51*p**3 + 1/102*p**4 + 1/17*p**2 - 2*p - 3. Let j(z) be the first derivative of q(z). Factor j(n).
2*(n + 1)**2/17
Let h be (-33800)/(-57798)*3/4. Let y(g) be the third derivative of 0*g + 2*g**2 - h*g**3 - 1/570*g**5 + 5/114*g**4 + 0. Let y(c) = 0. Calculate c.
5
Let w(a) be the second derivative of -a**7/168 + a**6/120 + 3*a**5/80 - 5*a**4/48 + a**3/12 + 207*a. Let w(h) = 0. Calculate h.
-2, 0, 1
Let r(a) be the third derivative of 12*a**2 + 1/20*a**5 + 1/4*a**4 + 0 - 3/2*a**3 + 0*a. Let f(m) = 2*m**2 + 6*m - 8. Let l(y) = -6*f(y) + 5*r(y). Factor l(i).
3*(i - 1)**2
Let i(n) = -n**3 - 12*n**2 - 14*n - 31. Let l be i(-11). Determine p, given that 268*p - 2*p**5 + 36 - 58*p**3 - 24*p**4 - 12*p**2 - 210*p + l*p**3 = 0.
-9, -2, -1, 1
Find v such that -4/3*v + 10/9*v**4 + 0 + 10/9*v**3 - 10/9*v**2 + 2/9*v**5 = 0.
-3, -2, -1, 0, 1
Let y be (8918/98 - 82) + 24/(-14). Factor -24/7*r**2 - 6/7 + y*r.
-3*(r - 2)*(8*r - 1)/7
Suppose 4*l = -61 + 69. Determine s so that -7*s**3 + 13*s**l + 12*s**3 - 65*s - 38*s**2 - 35 = 0.
-1, 7
Let q(v) be the third derivative of -v**5/3 - 311*v**4/2 + 748*v**3/3 + 1509*v**2. Solve q(f) = 0 for f.
-187, 2/5
Let v(d) be the first derivative of 5*d**3/3 - 1510*d**2 + 3015*d - 2270. What is g in v(g) = 0?
1, 603
Let q be (1 - -6)*((-6432)/224 - -29). Find c, given that -1/3*c**q + 0*c + 1/3 = 0.
-1, 1
Let o be (-2)/(-15) + (2 - (-168)/90). Factor -36/5*w**o - 12/5*w**3 - 384/5*w + 144/5 + 292/5*w**2 - 4/5*w**5.
-4*(w - 1)**3*(w + 6)**2/5
Let p = 483 - 479. Suppose 4*v - 2 - 12 = 2*g, -5*g = -p*v + 5. Factor 192/5*w**2 + 48/5*w**g + 0 + 256/5*w + 4/5*w**4.
4*w*(w + 4)**3/5
Let s be (-6)/((-1)/(3/6)). Solve 47*q - 290*q**2 + 98*q**5 + 77*q**s - 8 - 350*q**4 + 33*q + 393*q**3 = 0 for q.
2/7, 1
Let 2*n**3 + 2*n**3 + 9*n**2 - 72*n + 68*n - 12 + 3*n**2 = 0. Calculate n.
-3, -1, 1
Let g(q) be the first derivative of -5*q**4 - 115*q**3/3 - 2715. Factor g(l).
-5*l**2*(4*l + 23)
Let z = 840 - 838. Let q be (474/(-553))/((-3)/z)*2. Solve -16/7*u + q - 18/7*u**2 + 10/7*u**4 + 16/7*u**3 = 0.
-2, -1, 2/5, 1
Let k(o) be the first derivative of 1/3*o**5 + 152 + 0*o - 20/9*o**3 - 5/4*o**4 + 10*o**2. Let k(f) = 0. What is f?
-2, 0, 2, 3
Suppose 26*t + 908 = -373*t + 1706. Factor -3/2*b**5 - 3/2*b**3 + 0*b + 0*b**t + 0 + 3*b**4.
-3*b**3*(b - 1)**2/2
Let d(k) be the third derivative of -k**5/15 - 22*k**4/3 - 518*k**3/3 + 189*k**2. Let d(g) = 0. Calculate g.
-37, -7
Let l = 88 + 136. Let q = l - 222. Find d, given that 2/13*d**q + 8/13*d + 6/13 = 0.
-3, -1
Let s(t) be the second derivative of 1/90*t**5 + 2/135*t**6 - 1/18*t**4 + 0 + 1/9*t**2 - 1/27*t**3 - 68*t. Find m, given that s(m) = 0.
-1, 1/2, 1
Let x(h) be the third derivative of -30*h**2 + 1/63*h**7 + 0 + 0*h**4 + 1/30*h**5 - 1/504*h**8 