erivative of 15/4*v**4 + 6*v**3 - 5 - 24*v + 3/5*v**5 - 6*v**2. Suppose g(z) = 0. What is z?
-2, 1
Suppose 3/2*v**2 + 69/2*v - 630 = 0. What is v?
-35, 12
Let x(i) be the second derivative of i**7/14 - i**6/10 - 18*i**5/5 + i**4 + 40*i**3 + 12*i + 1. What is t in x(t) = 0?
-4, -2, 0, 2, 5
Suppose -12*h + 102904 = 6*h + 102868. Find b, given that -12 + 18*b - 9*b**h + 3/2*b**3 = 0.
2
Let b(a) be the first derivative of 90*a**2 - 1620*a + 48 - 5/3*a**3. Suppose b(j) = 0. What is j?
18
Let r(i) be the second derivative of -i**5/270 - i**4/54 - i**3/27 - 7*i**2 + 53*i. Let s(z) be the first derivative of r(z). Find c such that s(c) = 0.
-1
Let t(x) = -25*x**3 + 280*x**2 + 19042*x - 6. Let k(l) = -88*l**3 + 842*l**2 + 57125*l - 21. Let b(i) = 2*k(i) - 7*t(i). Determine v, given that b(v) = 0.
-138, 0
Let x be (-20)/(-9) - (-136)/(-612). Factor 3*w + 83*w**3 - 45*w - 144 - 80*w**3 + 21*w**x.
3*(w - 3)*(w + 2)*(w + 8)
Let r(p) = 2*p**3 - 59*p**2 + 42*p + 71. Let w be r(29). Let z be -2 - (w/(-40))/4. Suppose 2/5*o**2 + 0 - z*o = 0. Calculate o.
0, 2
Determine h so that 2*h + 49*h**2 - 2*h + h**3 + 29*h**2 - 86*h**2 = 0.
0, 8
Let c(t) be the second derivative of 2*t**6/15 - 18*t**5 + 832*t**4 - 28672*t**3/3 - 393216*t**2 + 578*t. Find f such that c(f) = 0.
-6, 32
Let s(m) be the third derivative of -m**4/12 - 5*m**3/2 - 15*m**2. Let b be s(-9). Suppose -6*p - 1 - 2 + 257*p**2 + 6*p**3 - 257*p**2 + b*p**4 = 0. What is p?
-1, 1
Suppose 696 + 566*u**2 - 126 - 2*u**3 + 722*u + 416*u = 0. Calculate u.
-1, 285
Suppose 8*k**3 - 138/7 - 236/7*k + 1278/7*k**2 = 0. Calculate k.
-23, -1/4, 3/7
Let s = -1/15920 - -3981/15920. Factor -s*i**2 - 3/2*i - 9/4.
-(i + 3)**2/4
Let j(l) = l**2 - 555*l + 12746. Let a be j(24). Find o, given that 19/5*o**4 - 4/5*o**a - 8/5*o**3 + 0 - 7/5*o**5 + 0*o = 0.
-2/7, 0, 1, 2
Let w(d) = -40*d**2 + 23108*d + 7. Let r(n) = 68*n**2 - 38516*n - 12. Let q(h) = 7*r(h) + 12*w(h). Factor q(l).
-4*l*(l - 1921)
Let a(k) be the third derivative of k**7/1260 - k**6/60 + k**5/12 + 311*k**4/24 - 11*k**2 - 9. Let r(m) be the second derivative of a(m). Factor r(n).
2*(n - 5)*(n - 1)
Let h(r) be the second derivative of -r**4/126 + 92*r**3/21 - 39*r**2 - 6414*r. Factor h(t).
-2*(t - 273)*(t - 3)/21
Let h(v) be the first derivative of 500*v - 124/5*v**5 + 6 + 100*v**2 - 1240/3*v**3 + 4/3*v**6 + 164*v**4. Suppose h(o) = 0. What is o?
-1/2, 1, 5
Factor -4795*p - 277 + 123 + 2*p**2 + 4737*p - 267 + 81.
2*(p - 34)*(p + 5)
Solve -479 - 1680*i - 75*i**4 + 324*i + 4215*i**3 - 777*i**2 + 1991 - 1069*i - 1130*i = 0 for i.
-1, 3/5, 56
Suppose -4*b - 2*i = 36 + 12, 4*i + 48 = -4*b. Let u be (-45)/40*b/9. Determine r, given that -u*r**4 - 11/2*r**3 - 1/2*r - 11/2*r**2 + 1 = 0.
-2, -1, 1/3
Solve -64/19 + 2/19*z**2 - 62/19*z = 0 for z.
-1, 32
Factor 152/3*k**3 - 5776/3*k**2 + 0 - 1/3*k**4 + 0*k.
-k**2*(k - 76)**2/3
Suppose s - 3 = -t, -4*s + 4*t - 3*t = -12. Let -7*k**s + 16*k**2 + 3*k**3 + 135*k - 115*k = 0. What is k?
-1, 0, 5
Let k(z) be the second derivative of z**5/110 + 23*z**4/66 + 13*z**3/3 + 11*z**2 - 5268*z. Factor k(u).
2*(u + 1)*(u + 11)**2/11
Let j(v) = 2*v**2 + 18*v + 5. Let h(q) = -2*q**2 - 16*q - 6. Suppose -12*c = 1 + 59. Let b(k) = c*h(k) - 6*j(k). Factor b(u).
-2*u*(u + 14)
Let h(q) be the second derivative of q**8/168 - q**7/105 + q**6/225 - 47*q**3/3 + 4*q - 6. Let v(m) be the second derivative of h(m). Factor v(y).
2*y**2*(5*y - 2)**2/5
Let q = 6306601/200 - 31533. Let x(s) be the third derivative of 0*s - 32*s**2 + q*s**6 + 3/8*s**4 + 7/10*s**3 + 9/100*s**5 + 0. Factor x(v).
3*(v + 1)**2*(v + 7)/5
Let z(i) = -i**3 + 2484*i**2 - 9933*i + 9923. Let r(u) = -7*u**3 + 19868*u**2 - 79463*u + 79385. Let w(a) = 3*r(a) - 25*z(a). Factor w(x).
4*(x - 620)*(x - 2)**2
Let z(d) be the third derivative of 2*d**7/105 + 7*d**6/6 - 74*d**5/15 - 5330*d**2. Suppose z(i) = 0. Calculate i.
-37, 0, 2
Let b(y) be the second derivative of 27*y + 0 - 5*y**2 - 3/20*y**5 - 5/2*y**3 - 1/40*y**6 + 9/8*y**4. Let f(j) be the first derivative of b(j). Factor f(w).
-3*(w - 1)**2*(w + 5)
Let n be ((-24)/(-70))/((-120)/(-28) - 4). Let j = -3660 - -3664. Determine k, given that -n*k**3 - 2/5*k**j + 0*k - 4/5*k**2 + 0 = 0.
-2, -1, 0
Let p(u) = -72*u**3 - 869*u**2 - 6664*u - 2425. Let o(c) = -19*c**3 - 217*c**2 - 1668*c - 606. Let h(j) = -23*o(j) + 6*p(j). Determine l so that h(l) = 0.
-6, -2/5, 51
Let f(u) be the third derivative of u**5/60 - 79*u**4/24 + 160*u**3 + 2702*u**2. Factor f(j).
(j - 64)*(j - 15)
Let w = -781791 + 781794. Factor -1/4*j**w - 7/4*j**2 + 0 + 2*j.
-j*(j - 1)*(j + 8)/4
Let m(t) be the first derivative of -63 + 0*t + 48/25*t**5 - 12/5*t**2 - 7/10*t**6 + 14/5*t**3 + 27/4*t**4. Suppose m(w) = 0. What is w?
-1, 0, 2/7, 4
Determine v so that 5*v**2 - 14/3 + 55/6*v**3 - 55/6*v - 1/3*v**4 = 0.
-1, -1/2, 1, 28
Let i(g) be the second derivative of -g**5/20 - 223*g**4/60 + 32*g**3/3 - 46*g**2/5 - 2149*g. Factor i(n).
-(n - 1)*(n + 46)*(5*n - 2)/5
Let j be (-1440)/(4 - 1)*(5 - 6). Let u = j + -478. Factor -27/2 - 3/2*a**u - 15*a.
-3*(a + 1)*(a + 9)/2
Factor -245*c**3 + 34*c**2 - 238*c**3 - 2325 - 238*c**3 + 51*c**2 + 2245*c + 716*c**3.
-5*(c - 31)*(c - 1)*(c + 15)
Let p = -726 - -750. Let i be p/(-54)*(-18)/4. Determine y, given that -3/4*y**i + 3*y - 9/4 = 0.
1, 3
Let k = 19189/17 - 1130. Let f = k + 241/85. Determine g so that 14/5*g + 26/5*g**3 + f*g**4 + 2/5 + 6*g**2 = 0.
-1, -1/4
Suppose -12*i = 2*i + 5474. Let w be (6/(-51))/(92/i). Suppose 1/2*p**2 - w + 0*p = 0. What is p?
-1, 1
Factor 75903 - 118320*s - 1368*s**2 - 215551 + 222*s**3 - 111*s**3 - 115*s**3 - 91552.
-4*(s + 2)*(s + 170)**2
Suppose 0 = -4*z - 6*k - 56, z - 17 = 3*k + 23. Find w, given that 12 - z*w + 1/3*w**2 = 0.
6
Let s be -2*(-45)/(-54)*-3. Factor i**2 - i**2 + 0*i**2 - 8*i**2 + s*i**2 + 3*i.
-3*i*(i - 1)
Suppose 5*r = -10*r. Suppose r = 10*k - 285 + 245. Factor 11/5*s**2 + 4/5*s**k + 2/5*s + 13/5*s**3 + 0.
s*(s + 1)*(s + 2)*(4*s + 1)/5
Factor -3034*r**2 - 3 + 10*r + 3 + 1508*r**2 + 38*r**3 + 1427*r**2.
r*(2*r - 5)*(19*r - 2)
Let g(a) be the third derivative of -a**8/6720 - 3*a**7/560 - a**6/30 + 13*a**5/12 - 46*a**2. Let u(y) be the third derivative of g(y). Factor u(b).
-3*(b + 1)*(b + 8)
Let 0*p + 0 - 1/2*p**3 + 837/2*p**2 = 0. Calculate p.
0, 837
Let g(q) be the first derivative of -72*q - 36*q**2 - 2/3*q**4 - 74 + 10*q**3. Let g(t) = 0. Calculate t.
-3/4, 6
Let h = 387727 + -387722. Determine b, given that 0 + 2/5*b**h + 6/5*b**3 - 8/5*b + 8/5*b**2 - 8/5*b**4 = 0.
-1, 0, 1, 2
Let p be -5*(-42)/140*14/3. Let d be p - (-6 + (-98)/(-8)). Find g such that -3/4*g**2 + 3/4 + d*g - 3/4*g**3 = 0.
-1, 1
Let s(y) be the third derivative of -1/3*y**4 + 1/30*y**5 + 40*y**2 + 0*y + 0 + 0*y**3. Determine j, given that s(j) = 0.
0, 4
Let h(j) be the third derivative of j**8/231840 + j**7/14490 + 23*j**5/30 - 57*j**2 - 1. Let l(w) be the third derivative of h(w). Factor l(n).
2*n*(n + 4)/23
Suppose 0 = -106*c + 113*c - 6860. Let m be (6/20)/(168/c). Determine q, given that 1/2 - m*q + 5/4*q**2 = 0.
2/5, 1
Let l(r) be the third derivative of -1/504*r**8 - 7*r**2 + 0*r + 0*r**3 + 0*r**6 + 1/36*r**4 - 2/315*r**7 - 4 + 1/45*r**5. Suppose l(j) = 0. What is j?
-1, 0, 1
Let p(l) = -18*l**3 + l**2 + 5*l - 7. Let s be p(2). Let r = s + 139. Factor -16/3 + 8/3*m - 1/3*m**r.
-(m - 4)**2/3
Let p(s) be the third derivative of s**7/840 - s**6/120 + s**5/40 + 11*s**4/8 + 24*s**2. Let c(z) be the second derivative of p(z). Solve c(u) = 0 for u.
1
Let i = 296 + -317. Let w be 3 - 7*i/(-98). Factor 3 + w*o**3 - 9/2*o + 0*o**2.
3*(o - 1)**2*(o + 2)/2
Let y be ((-86)/(-301))/(18/42). Let i(u) be the third derivative of -1/2*u**4 + 0*u - 1/12*u**5 + 0 + 30*u**2 - y*u**3. Factor i(v).
-(v + 2)*(5*v + 2)
Let i(a) be the first derivative of 33*a - 30 + 1/12*a**4 + 1/2*a**3 + 0*a**2. Let t(r) be the first derivative of i(r). Suppose t(z) = 0. What is z?
-3, 0
Let p(x) be the second derivative of -x**4/9 - 50*x**3/9 + 52*x**2/3 + 463*x + 2. Let p(h) = 0. What is h?
-26, 1
Let f(g) be the first derivative of 3/14*g**4 + 199 + 1/14*g**6 - 9/14*g**2 + 12/35*g**5 - 4/7*g**3 + 0*g. What is w in f(w) = 0?
-3, -1, 0, 1
Let u be (-8835)/33232*1/((-54)/88). Let j = u - -3/268. Factor -4/9*r - 1/9*r**2 - j.
-(r + 2)**2/9
Let y(z) = 