/4*i = 0. Calculate i.
-3, -2, -1
Let x(f) = 4*f**2 - 8*f + 12. Let l(c) = -c**2 - 1. Let k(a) = -44*l(a) - 4*x(a). Let g(z) = -z**2 - z - 2. Let u(p) = -4*g(p) + k(p). Let u(n) = 0. What is n?
-1, -1/8
Let p(r) be the third derivative of r**7/105 - r**5/10 + r**4/6 + 513*r**2 - 2*r - 2. Factor p(j).
2*j*(j - 1)**2*(j + 2)
Factor -44*t - 538 - 20*t**3 + 44*t**3 - 1034*t - 542*t**2 - 26*t**3.
-2*(t + 1)**2*(t + 269)
Let p(v) be the third derivative of -v**5/15 + 157*v**4/24 - 95*v**3/3 - 2*v**2 + 22*v + 40. Solve p(m) = 0.
5/4, 38
Let k(w) be the second derivative of w**6/1260 - 3*w**5/140 + 3*w**4/14 + 125*w**3/6 + 2*w + 65. Let f(a) be the second derivative of k(a). Factor f(s).
2*(s - 6)*(s - 3)/7
Suppose -72/7 + 4/7*d**2 - 68/7*d = 0. Calculate d.
-1, 18
Let f(c) = 550*c**2 - 20*c - 120. Let l be f(22). Factor -265640*b - 130*b**2 + l*b + 5*b**3.
5*b**2*(b - 26)
Let c = 516 + -512. Let l(t) be the first derivative of -4/3*t**3 + 4*t - 2*t**2 - 11 + t**c. Let l(y) = 0. What is y?
-1, 1
Let p(f) = 2*f**4 + 16*f**3 + 310*f**2 + 854*f + 878. Let b(q) = -q**3 + 2*q**2 + 2*q - 1. Let j(c) = 44*b(c) - 2*p(c). Factor j(z).
-4*(z + 3)*(z + 5)**2*(z + 6)
Let s(y) be the first derivative of -3*y**4/4 - 67*y**3 - 3465*y**2/2 - 3267*y + 1385. Factor s(g).
-3*(g + 1)*(g + 33)**2
Let t(k) be the first derivative of -3*k**6/4 - 229*k**5/2 + 449*k**4/4 + 128*k**3/3 - 2179. What is a in t(a) = 0?
-128, -2/9, 0, 1
Let r(g) be the first derivative of 5*g**3/6 + 751*g**2/6 + 100*g/3 + 4337. Let r(t) = 0. What is t?
-100, -2/15
Let v(d) be the first derivative of -8/7*d**3 + 0*d - 3/35*d**5 + 39 + 6/7*d**2 + 15/28*d**4. Factor v(o).
-3*o*(o - 2)**2*(o - 1)/7
Let h(j) be the third derivative of -3*j**7/35 - 11*j**6/30 - 17*j**5/30 - j**4/3 - 133*j**2 + 3*j. Factor h(n).
-2*n*(n + 1)**2*(9*n + 4)
Suppose -48/5 - 212/5*q + 18/5*q**2 = 0. Calculate q.
-2/9, 12
Solve -1/8*s**2 - 19/8*s + 5/2 = 0.
-20, 1
Let p(j) be the third derivative of -1/7*j**3 - 11/84*j**4 - 4*j + 0 - 30*j**2 + 1/15*j**5. Suppose p(s) = 0. Calculate s.
-3/14, 1
Suppose -4*q - 3 = -5*o - 838, 5*o - 635 = -3*q. Let u be (40/q)/((-6)/(-72)*2). Factor -8/7*k**3 + u*k + 0 - 4/7*k**4 + 4/7*k**2.
-4*k*(k - 1)*(k + 1)*(k + 2)/7
Suppose 577 = 54*n + 307. Let k(z) be the first derivative of z**4 - 4/3*z**3 + n - 2*z**2 + 4/5*z**5 + 0*z. Suppose k(i) = 0. Calculate i.
-1, 0, 1
Determine j so that -28/5*j - 88/5*j**2 + 58/5*j**4 + 7/5*j**5 + 51/5*j**3 + 0 = 0.
-7, -2, -2/7, 0, 1
Suppose -8158 = 8*u - 8158. Let n(p) be the first derivative of 0*p**4 - 1/8*p**3 + u*p**2 + 0*p + 3/40*p**5 + 9. Let n(i) = 0. Calculate i.
-1, 0, 1
Let p(h) be the second derivative of -h**6/2 - 17*h**5/4 + 95*h**4/6 + 680*h**3/3 + 400*h**2 - 2205*h. Suppose p(k) = 0. Calculate k.
-5, -4, -2/3, 4
Let h(z) be the second derivative of -z**5/20 - 43*z**4/12 - 37*z**3/3 + 164*z**2 + 14*z + 11. Suppose h(r) = 0. Calculate r.
-41, -4, 2
Solve -9847*s**2 - 37727*s**2 + 31668*s**3 - 18674*s**2 + 311*s**5 + 1101*s**4 - 307*s**5 - 381*s**4 = 0.
-91, 0, 2
Let w(d) be the first derivative of -4/5*d**4 - 4/25*d**5 + 12/5*d**3 - 9 - 16*d + 32/5*d**2. Find j such that w(j) = 0.
-5, -2, 1, 2
Let o(h) = 44*h + 3080. Let m be o(-70). Let t(i) be the second derivative of m + 4/9*i**3 + 1/18*i**4 + 2*i + 4/3*i**2. Suppose t(q) = 0. Calculate q.
-2
Let r be ((-2)/5 - 114/(-10))/(-1)*20/(-110). Factor 1/2*a**r + 17*a - 35/2.
(a - 1)*(a + 35)/2
Let u be (-8 - (-6 + -4)) + -8. Let r(h) = 4*h**2 - 17*h + 7. Let g(i) = i**2 - 6*i + 2. Let l(c) = u*r(c) + 21*g(c). Factor l(o).
-3*o*(o + 8)
Factor 19*i**3 - 11*i**2 - 4*i**2 - 14*i**3 - 8*i**3 - 18*i.
-3*i*(i + 2)*(i + 3)
Suppose 9*p - 26 = -26. Factor -3 + p + 3 + 16*n**2 - 6*n**3 - 8*n + 8*n**5 - 4*n**4 - 6*n**5.
2*n*(n - 2)*(n - 1)**2*(n + 2)
Let z = 260 - 255. Let w be (-3)/(-9)*(11 - z). Factor 16/3*t + 16/3 + 4/3*t**w.
4*(t + 2)**2/3
Let z(w) be the second derivative of 3*w**5/140 - 113*w**4/14 + 449*w**3/14 - 48*w**2 - 97*w. Factor z(h).
3*(h - 224)*(h - 1)**2/7
Let s(l) be the second derivative of -15/14*l**2 + 18 - 4*l + 3/7*l**3 - 1/28*l**4. Let s(j) = 0. What is j?
1, 5
Let x(z) be the first derivative of 5*z**3/6 - 85*z**2/2 - 380*z - 4127. Factor x(p).
5*(p - 38)*(p + 4)/2
Suppose -8*l**2 + 0*l + 13/3*l**4 + 0 + 1/3*l**5 + 10/3*l**3 = 0. Calculate l.
-12, -2, 0, 1
Let r(s) be the second derivative of -3*s**4/32 - 7*s**3/8 - 3*s**2/2 - 237*s. Solve r(x) = 0 for x.
-4, -2/3
Let o(j) be the third derivative of -j**6/60 - j**5/6 + 37*j**4/6 + 80*j**3 + 219*j**2 - 3*j + 2. Determine r, given that o(r) = 0.
-10, -3, 8
Let i be (-1)/11 + 32004/(-66). Let o = -483 - i. Factor 1/7 - 6/7*h**o - 1/7*h.
-(2*h + 1)*(3*h - 1)/7
Let -89280*z**4 - 4*z**3 + 89279*z**4 - 12*z**3 - 80*z - 33 - 62*z**2 = 0. What is z?
-11, -3, -1
Suppose -15*n - 3*n + 0*n = 0. Let p be (-98)/(-343) - (n - 0). Determine k so that -1/7*k**3 + p*k**2 - 1/7*k + 0 = 0.
0, 1
Let f(q) be the second derivative of q**5/60 + 25*q**4/36 + 143*q**3/18 + 119*q**2/6 + 365*q. Factor f(o).
(o + 1)*(o + 7)*(o + 17)/3
Let f(r) be the second derivative of r**6/45 + 2*r**5/15 - r**4/18 - 4*r**3/9 - 301*r. Factor f(q).
2*q*(q - 1)*(q + 1)*(q + 4)/3
Let v(d) be the second derivative of 37*d**4/4 - 34*d**3 - 18*d**2 - 1367*d. Factor v(u).
3*(u - 2)*(37*u + 6)
Let i(r) be the third derivative of -r**5/60 + 101*r**4/12 + 203*r**3/6 - 718*r**2 - 2. Solve i(z) = 0.
-1, 203
Suppose 0 = -4*r + 2*r + 4*a + 4, 0 = -3*r + 3*a + 6. Factor -732 + q**2 + 3*q - r*q**3 + q**2 + 5*q + 724.
-2*(q - 2)*(q - 1)*(q + 2)
Let s = -44618 + 44662. Let t(x) be the first derivative of 5/6*x**4 + s + 0*x**2 + 4/9*x**3 + 0*x. Factor t(q).
2*q**2*(5*q + 2)/3
Let m be (-16)/40 - (1988/(-660))/7. Let h(d) be the second derivative of 1/132*d**4 + 0 + m*d**3 - 22*d + 1/22*d**2. Factor h(o).
(o + 1)**2/11
Let g(n) be the first derivative of -48 - 2*n**2 - 16*n + 7/12*n**3 - 1/32*n**4. Let g(s) = 0. What is s?
-2, 8
Let f(l) = 163*l**2 - 183*l - 571. Let x(y) = -195*y**2 + 183*y + 570. Let p(z) = -6*f(z) - 5*x(z). Factor p(n).
-3*(n - 64)*(n + 3)
Let y(t) = 7*t**3 + 522*t**2 - 2132*t + 2162. Let s(r) = 120*r**3 + 8875*r**2 - 36240*r + 36755. Let q(z) = 2*s(z) - 35*y(z). Find o such that q(o) = 0.
-108, 2
Let m(y) be the second derivative of -y**6/150 - 11*y**5/50 + y**4/20 + 34*y**3/15 + 22*y**2/5 + 119*y + 23. Factor m(g).
-(g - 2)*(g + 1)**2*(g + 22)/5
Factor -71/2*j**2 + 79/2*j**3 - 4*j + 0.
j*(j - 1)*(79*j + 8)/2
Let j(b) be the first derivative of 1/20*b**5 - 1/6*b**3 + 0*b**4 - 127 + 1/4*b + 0*b**2. Factor j(r).
(r - 1)**2*(r + 1)**2/4
Let r = 322422 - 322418. Factor -2/9*x**2 + 2/9*x**r + 0 + 0*x + 2/9*x**3 - 2/9*x**5.
-2*x**2*(x - 1)**2*(x + 1)/9
Let o be (20/(-245))/(58/203) - (-16)/7. Factor 9/4*c + 0 - 5/2*c**3 - 2*c**4 + 1/4*c**5 + o*c**2.
c*(c - 9)*(c - 1)*(c + 1)**2/4
Suppose 8*p - 4*p = 4, 2*p + 1 = -o. Let x(u) = -5*u**2 + 31*u - 23. Let g(y) = y**2 - y - 1. Let w(f) = o*g(f) - x(f). Suppose w(n) = 0. What is n?
1, 13
Let b = 678103 - 3390514/5. Factor -3 - b*l**2 + 8/5*l.
-(l - 5)*(l - 3)/5
Let t(p) be the first derivative of 10*p**3/21 + 41*p**2/14 + 6*p + 929. Factor t(b).
(b + 2)*(10*b + 21)/7
Let c = 2 + 2. Let v(x) = -6*x**2 - 237 + 9*x + 237 - 6*x**c + 21*x**3. Let h(k) = 3*k**4 - 10*k**3 + 3*k**2 - 4*k. Let f(p) = 9*h(p) + 4*v(p). Factor f(s).
3*s**2*(s - 1)**2
Let i be (-602)/(-5)*69/2070 - 4. Let j(y) be the second derivative of 0*y**2 + 1/30*y**4 - 1/25*y**5 + 0*y**3 + i*y**6 + 0 - 21*y. Factor j(t).
2*t**2*(t - 1)**2/5
Suppose -p - 2*p + 3*l = -24, 3*p + 11 = -4*l. Suppose i - 3*d + 1 = 6*i, -p = 3*i + 3*d. Find s, given that 1/5*s**i + 4/5 + 4/5*s = 0.
-2
Let m(p) be the first derivative of 5*p**3/18 - 8*p**2/3 + 35*p/6 - 880. Factor m(d).
(d - 5)*(5*d - 7)/6
Let m(a) be the first derivative of a**5/55 + 4*a**4/11 + 20*a**3/33 - 200*a**2/11 - 2877. Factor m(h).
h*(h - 4)*(h + 10)**2/11
Suppose -12*x - 69 = -117. Factor 5*c - c + 63*c**2 + 92*c**3 + 8*c**x - 19*c**2 - 4*c.
4*c**2*(c + 11)*(2*c + 1)
Let b = 48864 - 48862. Find o, given that 4/3 - 7/3*o**5 - 4*o - 13/3*o**b + 3*o**4 + 19/3*o**3 = 0.
-1, 2/7, 1, 2
Let a = 478 - 428. Let k be (3 - a/20)/(1/8). Let 0 - 18/13*j**3 - 10/13*j**5 + 0*j + 24/13*j**k + 4/13*j**2 = 0. Calculate j.
0, 2/5, 1
Let c be 2