t f(q) be the third derivative of -1/14*q**k + 0*q + 0 - 7*q**2 - 6/7*q**3 + 1/140*q**5. Factor f(d).
3*(d - 6)*(d + 2)/7
Let g(j) be the third derivative of j**8/84 - 46*j**7/105 + 28*j**6/5 - 64*j**5/3 - 256*j**4/3 + 2456*j**2. Determine a so that g(a) = 0.
-1, 0, 8
Let a = 1840 + -1837. Let u(j) be the second derivative of 5*j**4 + 0 + 1/6*j**6 + 10*j - 25/3*j**a + 15/2*j**2 - 3/2*j**5. Solve u(w) = 0 for w.
1, 3
Suppose -12*s - 100 = 32, -9 = p + s. What is c in 5/2*c**p + 2 + 4*c + 1/2*c**3 = 0?
-2, -1
Factor -17*w - 210 - 84*w + 1241*w**3 - 2524*w**3 - 854*w - 780*w**2 + 1248*w**3.
-5*(w + 1)*(w + 21)*(7*w + 2)
Let y(z) = 10*z**3 + 66*z**2 - 520*z + 456. Let g(l) = -l**3 + 2*l**2 - 2*l. Let a(i) = 12*g(i) + y(i). Solve a(b) = 0.
1, 6, 38
Let c = -46904 - -93817/2. Suppose -33/2 + 69/2*r**3 - 3/4*r**5 + 225/4*r - 69*r**2 - c*r**4 = 0. What is r?
-11, 1, 2
Let a be 8790/(-420) + 21 + 55/14. Let z(w) be the first derivative of -12*w**3 - 4/5*w**5 + 14*w**2 + 5*w**4 - 8*w - a. Factor z(k).
-4*(k - 2)*(k - 1)**3
Let d(z) be the third derivative of -z**6/30 - 124*z**5/5 - 246*z**4 - 2944*z**3/3 - 4250*z**2. Factor d(h).
-4*(h + 2)**2*(h + 368)
Let v(n) be the third derivative of n**6/420 - n**5/210 - 19*n**4/21 - 20*n**3/3 + n**2 - 2*n - 15. Suppose v(z) = 0. Calculate z.
-7, -2, 10
Factor -228/5*j + 44/5*j**2 + 36 + 4/5*j**3.
4*(j - 3)*(j - 1)*(j + 15)/5
Suppose 5*m = -2*m + 3374. Factor -3*x**4 + 7*x**2 + 36*x - 55*x**2 - m*x**3 + 503*x**3.
-3*x*(x - 3)*(x - 2)**2
Let s be 4 - -2*3/(-6). Let x = -471 - -475. Factor -12*r**2 - x*r**s - 9696 + 16*r + 9696.
-4*r*(r - 1)*(r + 4)
Let h(f) be the first derivative of 5*f**3/3 + 19*f**2 + 21*f + 1166. Find m, given that h(m) = 0.
-7, -3/5
Factor -2*j**5 + 11915889*j**2 - 92*j**4 + 3006*j**3 - 240869376 - 456192*j - 11538321*j**2 - 64*j**4.
-2*(j - 33)**2*(j + 48)**3
Let u = 416584/5 + -83300. Determine f, given that -441/5 - 4/5*f**2 - u*f = 0.
-21/2
Determine p, given that 832/3*p**2 + 0 + 86528/3*p + 2/3*p**3 = 0.
-208, 0
Factor 2121/4*g - 147/4 - 8601/4*g**2 + 6627/4*g**3.
3*(g - 1)*(47*g - 7)**2/4
Let t(m) = m**2 - 3*m - 5. Let d be t(-1). Let x be (-68)/12 - d*(11 + -5). Factor -x*k - 4/3*k**2 + 2 - 1/3*k**3.
-(k - 1)*(k + 2)*(k + 3)/3
Let m**4 + 19*m**4 - 12*m**2 + m - 18*m**4 - 9*m + 10 + 8*m**3 = 0. Calculate m.
-5, -1, 1
Let k be (-4 - -10) + (13 - 9). Solve -9*x**2 + 16*x + 3*x**3 + 0 + 0 - k*x = 0.
0, 1, 2
Suppose -5*g - 2*v + 6 = -8, -2*v = 2*g - 2. Factor -x**4 - 2*x**2 - 6*x**2 + 3*x**g.
2*x**2*(x - 2)*(x + 2)
Let d = -8280 - -33123/4. Let q(j) be the first derivative of d*j**2 + 3/20*j**5 + 13 - 3/8*j**4 - 1/4*j**3 + 0*j. Determine f, given that q(f) = 0.
-1, 0, 1, 2
Let v = -353943/5 + 71074. Let q = v + -285. Solve -q*w**3 - 1/5 + 1/5*w**4 + 0*w**2 + 2/5*w = 0 for w.
-1, 1
Let u be (-3)/9*-9 + 2. Let d be -6 + 11 - (0 + 1). Factor d*k**5 - u*k**4 + 0*k**4 - 3*k**4 + 0*k**3 + 4*k**3.
4*k**3*(k - 1)**2
Let l(i) be the third derivative of -65*i**2 - 2/15*i**5 + 1/6*i**4 + 0 + 4/3*i**3 - 1/30*i**6 + 0*i. Factor l(z).
-4*(z - 1)*(z + 1)*(z + 2)
Let m be (-530)/(-159)*(-465)/(-2). Let r = m + -769. Factor -8/3*y**2 + r*y - 4/3.
-2*(y - 2)*(4*y - 1)/3
Factor 9/5*i**4 - 76/5*i - 107/5*i**2 - 12/5 - 34/5*i**3.
(i - 6)*(i + 1)**2*(9*i + 2)/5
Suppose -6/5 + 0*w**2 - 7/5*w + 1/5*w**3 = 0. Calculate w.
-2, -1, 3
Let a(s) be the first derivative of -3*s**5/160 + s**4/16 + s**3/16 - 3*s**2/8 - 16*s - 4. Let o(w) be the first derivative of a(w). Factor o(t).
-3*(t - 2)*(t - 1)*(t + 1)/8
Let t(y) be the third derivative of 2/105*y**7 - 17*y**2 + 0*y**4 + 0*y**3 + 1 + 0*y + 1/10*y**6 + 2/15*y**5. Let t(j) = 0. Calculate j.
-2, -1, 0
Let t(v) = 8 - 14 + 5*v + v**2 + 10. Let q be t(-5). Factor -3*h**2 + 6*h**4 - 4*h**3 + h**3 - h - q*h**4 - 3*h**4.
-h*(h + 1)**3
Let i(j) = -j**3 + j**2 + 3*j + 3. Let b(p) = 2*p**3 - p**2 - 2*p - 2. Let w(u) = 2*b(u) + 3*i(u). Let v be w(-1). Factor -4/19*x + v + 10/19*x**2 + 14/19*x**3.
2*x*(x + 1)*(7*x - 2)/19
Let k(q) be the first derivative of 23*q**6/3 - 278*q**5/5 + 141*q**4 - 392*q**3/3 + 8*q**2 + 2161. Suppose k(w) = 0. What is w?
0, 1/23, 2
Let g(i) = -41*i - 99. Let b be g(18). Let h = 839 + b. Factor -1/4*v**h - 3/4*v - 1/2.
-(v + 1)*(v + 2)/4
Let d(k) = 3*k + 85. Let c be d(-25). Let j be (c/(-70))/((-12)/14). Let -1/6 + j*u**2 + 0*u = 0. Calculate u.
-1, 1
Let k be -1 + 1122/2057 + 105/(-11) + 232/14. Determine z, given that -2/7*z**3 - 342/7*z + k*z**2 + 810/7 = 0.
5, 9
Let l = 194 + -192. Let u = 3323/5 - 3309/5. Factor -14/5*f + u*f**3 - 4/5*f**l + 4/5.
2*(f - 1)*(f + 1)*(7*f - 2)/5
Let v(j) be the second derivative of j**4/18 - 1450*j**3/9 + 483*j**2 - 145*j. Factor v(y).
2*(y - 1449)*(y - 1)/3
Let m(w) be the first derivative of -38400*w**3/7 - 480*w**2/7 - 2*w/7 - 3194. Find q, given that m(q) = 0.
-1/240
Determine y, given that -56*y**2 - 1406*y - 27380/3 - 2/3*y**3 = 0.
-37, -10
Let d(a) = 65*a**4 + 7480*a**3 + 25*a**2 - 100*a. Let j(m) = 8*m**4 + 935*m**3 + 3*m**2 - 12*m. Let k(u) = 3*d(u) - 25*j(u). Determine r, given that k(r) = 0.
-187, 0
Let g = 385 - 383. Let p be 20/6*(-136)/(-170). Determine r, given that -2*r - 2/3*r**4 + 2*r**3 - p + 10/3*r**g = 0.
-1, 1, 4
Suppose 0 = r - 4*w - 11882, -23771 = -2*r - w + 2*w. Let 6*p**5 - 11878*p**2 - 8*p**4 + r*p**2 - 14*p**3 + 8*p**5 = 0. Calculate p.
-1, 0, 4/7, 1
Let b be (-23)/92*(32 + 0) - -11. Let m(r) be the second derivative of 0 + 1/30*r**4 - 30*r + 1/45*r**b + 0*r**2. Determine h, given that m(h) = 0.
-1/3, 0
Suppose 0 = 5*s - 2*t - 116, 4*s - 2*s - t = 46. Suppose -s = -3*n - 9*n. Find j, given that 1/3*j - 1/3*j**n + 1/9*j**3 - 1/9 = 0.
1
Let n = 7656582/11 - 696050. Solve 10/11*h - 6/11*h**5 - 32/11*h**2 - 4/11*h**3 + 0 + n*h**4 = 0 for h.
-1, 0, 1/3, 1, 5
Let f be ((-30)/(-25))/(9/15). Suppose -3*h**3 + h**2 + 13*h + 4*h**2 + h**f - 16*h = 0. What is h?
0, 1
Let h(l) be the second derivative of -l**6/15 + l**5/10 + 5*l**4 - 24*l**3 + 1184*l - 3. Find d, given that h(d) = 0.
-6, 0, 3, 4
Let g be 14/6 + 4420/(-2340) + (-7)/36. Factor z**2 + 0*z + g*z**4 + 0 + z**3.
z**2*(z + 2)**2/4
Determine k so that 5*k**2 + 1053405 + 3651*k + 1199*k - 260*k = 0.
-459
Let i(f) be the third derivative of 0 + 1/2*f**3 + 3/20*f**5 - 3/8*f**4 - 1/40*f**6 + 9*f - 2*f**2. What is a in i(a) = 0?
1
Let u = 18509/2 - 9254. Let -u*m**2 + 2*m + 5/2 = 0. Calculate m.
-1, 5
Let -34*q**3 - 1605*q**2 - 300 - 2958*q + 1759*q**2 + 2*q**4 + 2848*q = 0. Calculate q.
-1, 3, 5, 10
Let p(n) be the first derivative of n**3/3 + 77*n**2/2 + 76*n + 1546. Solve p(c) = 0 for c.
-76, -1
Let x be 28/7 - (-1 - -3). Suppose -2*i + 6 = x*t, 5*i + 7 = -2*t + 1. Factor -5*h**2 - 38*h - 4*h**4 - t*h**2 + 74*h - 20*h**3.
-4*h*(h - 1)*(h + 3)**2
Let p(d) be the third derivative of -d**8/20160 + d**7/5040 + d**6/36 + 7*d**5/30 - d**4/8 - 4*d**2 + 16. Let j(g) be the third derivative of p(g). Factor j(a).
-(a - 5)*(a + 4)
Let u(n) be the third derivative of -7*n**4/24 - 68*n**3/3 + 108*n**2. Let m be u(-20). Suppose 2/21*v + 2/21*v**m - 2/21*v**2 - 2/21*v**3 + 0 = 0. Calculate v.
-1, 0, 1
Let m be ((-1287)/6 - -2)/(264/(-2992)). Let a = -2408 + m. Solve r - a*r**2 + 0 = 0.
0, 3
Let c(y) = y**3 - 58*y**2 + 666*y + 254. Let r be c(42). Let t = 22 - 504/23. Factor t*m**3 + 0 + 6/23*m**r + 0*m.
2*m**2*(m + 3)/23
What is y in 26*y + 4*y**3 - 40/3 - 49/3*y**2 - 1/3*y**4 = 0?
1, 2, 4, 5
Let g(f) be the third derivative of -f**8/7560 + f**7/1890 + f**6/540 + 27*f**3 + 26*f**2. Let j(d) be the first derivative of g(d). Factor j(y).
-2*y**2*(y - 3)*(y + 1)/9
Suppose -4*p - 2*y = 88, 0 = 4*p + 93*y - 95*y + 72. Let q be (-18)/(-33) - p/(-198). Factor q*g**4 + 0*g**2 + 0*g + 2/9*g**3 + 0 + 2/9*g**5.
2*g**3*(g + 1)**2/9
Let t(d) = -d**2 - 68*d - 1128. Let q be t(-29). Let v(z) be the first derivative of z**2 + q*z - 5/3*z**3 - 7 - z**4. Factor v(i).
-(i + 1)**2*(4*i - 3)
Let w be 11 - ((-24)/(-6) + -1*3). Suppose -38 = -3*p + 2*v, 5*p + v - 42 = -v. Factor 11*c**4 - 5*c**5 - 16*c**4 + w*c**2 + p*c**3 + 47 - 52 - 5*c.
-5*(c - 1)**2*(c + 1)**3
Factor -2/13*i**2 + 800/13 + 84/13*i.
-2*(i - 50)*(i + 8)/13
Factor 96 + 64*v + 26/3*v**2 + 1/3*v**3.
(v + 2)*(v + 12)**2/3
Let r(q) be the third derivative of -q**5/300 + 7*q**4/20 - 8*q**3/3 + 86*q**2 - q. Factor 