ive of p**5/150 + 5*p**4/6 + 125*p**3/3 - 53*p**2 + 2*p. Factor n(g).
2*(g + 25)**2/5
Let i(y) be the first derivative of -1/5*y**4 + 0*y - 4/5*y**2 - 4/5*y**3 + 47. Suppose i(p) = 0. Calculate p.
-2, -1, 0
Let u(p) be the third derivative of 1/12*p**4 - 1/60*p**6 + 4/15*p**3 + 0 - 1/525*p**7 - 35*p**2 + 0*p - 1/50*p**5. Solve u(x) = 0.
-4, -1, 1
Suppose -t - 79 = 4*t - 4*d, -3*d - 57 = 4*t. Let u be (-1 - t/9)/(1/3). Let 1 + 1/2*x**5 + u*x**3 - 5/2*x + x**2 - 2*x**4 = 0. Calculate x.
-1, 1, 2
Let d = -1333 - -1336. Factor 0 + 1/6*q**4 + 2/3*q**d + 5/6*q**2 + 1/3*q.
q*(q + 1)**2*(q + 2)/6
Factor 15 - 43*w + 75*w**3 - 13 + 220*w**2 - 66*w**3 + 112*w**3.
(w + 2)*(11*w - 1)**2
Let k(z) be the first derivative of -29 + 0*z + 8/3*z**3 - z**4 + 0*z**2. Factor k(q).
-4*q**2*(q - 2)
Let t(k) = -33*k - 493. Let g be t(-15). Suppose -3/4*z**3 + 3/4*z**4 + 3/4*z - 3/4*z**g + 0 = 0. What is z?
-1, 0, 1
Factor 54*a**2 - 28*a**3 - 36*a + 40*a**2 - 4*a**4 - 26*a**2.
-4*a*(a - 1)**2*(a + 9)
Let p(l) be the second derivative of 0*l**2 + 3/140*l**5 + 4*l + 0*l**3 - 1/14*l**4 + 0. Determine f so that p(f) = 0.
0, 2
Let z be (0 + 0)/((-7)/7). Let b(p) = -p + 4. Let w be b(z). Factor -10*j**3 - 8*j**3 + 3*j - 6*j + 12*j**2 + 12*j**w - 3*j**5.
-3*j*(j - 1)**4
Let j(u) be the first derivative of -u**4 + 8*u**3 + 210*u**2 + 392*u + 115. Suppose j(t) = 0. What is t?
-7, -1, 14
Suppose -3*l + 15 = 3*d, 0*d - 5 = -5*l - d. Let i(y) be the first derivative of 4 + 3/2*y**4 - 4/5*y**5 + 1/6*y**6 + 1/2*y**2 - 4/3*y**3 + l*y. Factor i(u).
u*(u - 1)**4
Let l be 196/35 + 6/15. Suppose -l = h - 8. Factor -35*v - 3*v**2 - h - 10 + 20*v.
-3*(v + 1)*(v + 4)
Factor 1/2*b**2 - 2*b + 0.
b*(b - 4)/2
Let y(t) be the first derivative of t**6/48 - 7*t**5/48 - 5*t**4/8 + 11*t**3/3 + 24. Let j(f) be the third derivative of y(f). Solve j(b) = 0 for b.
-2/3, 3
Factor 117/5*y - 3/5*y**3 + 162/5 - 48/5*y**2.
-3*(y - 3)*(y + 1)*(y + 18)/5
Solve 0*k + 0 + 4/5*k**4 - 16/5*k**3 + 16/5*k**2 = 0.
0, 2
Let g(q) = q**3 + q**2 - q - 3. Let a(i) = -2*i**3 - 7*i**2 - 9*i + 9. Let h(n) = -a(n) - 3*g(n). Factor h(d).
-d*(d - 6)*(d + 2)
Let l(q) be the second derivative of -q**7/294 + 3*q**6/70 - 19*q**5/140 + q**4/28 + 10*q**3/21 - 6*q**2/7 + 9*q - 1. Determine p so that l(p) = 0.
-1, 1, 2, 6
Let h = -10 + 8. Let c be h/7 + (-8)/(-28). Let c*w + 2*w**3 + w**2 + 5*w**2 + 3*w + w = 0. Calculate w.
-2, -1, 0
Let m(s) be the second derivative of -s**4/42 + 53*s**3/21 - 52*s**2/7 - 441*s. Factor m(v).
-2*(v - 52)*(v - 1)/7
Let g(r) be the third derivative of r**5/3 + 22*r**4 + 104*r**3/3 + 344*r**2. Factor g(d).
4*(d + 26)*(5*d + 2)
Let f(q) = q**2 + q - 10. Let a(u) = 4*u**2 - 448*u - 13076. Let t(i) = -a(i) + 8*f(i). Let t(x) = 0. Calculate x.
-57
Let v(p) be the first derivative of -45*p**4 + 280*p**3 + 295*p**2/2 + 25*p + 611. What is k in v(k) = 0?
-1/6, 5
Let x = -36232/3 - -12078. Solve x*v - 2/9*v**2 - 4/9 = 0 for v.
1, 2
Let s be (-3*56/2646)/(6/(-21)). What is d in -16/9 + 4/9*d + s*d**2 = 0?
-4, 2
Let r(g) be the third derivative of -g**9/302400 - g**8/20160 - g**7/8400 + g**6/400 - g**5/15 - 6*g**2. Let w(p) be the third derivative of r(p). Factor w(q).
-(q - 1)*(q + 3)**2/5
Let l(b) = 3*b - 1. Let n be l(1). Suppose -4*t = -n - 6. What is f in -12*f**2 - 8*f**t + 19*f**2 = 0?
0
Suppose -4*f = 5*p - 2*p - 4, 2 = 5*p + 2*f. Let o(l) be the second derivative of 1/6*l**3 + p + 0*l**2 + 1/12*l**4 + 7*l. Find w such that o(w) = 0.
-1, 0
Let o(s) be the third derivative of s**7/3780 - s**6/162 + 25*s**3/3 + 56*s**2. Let q(d) be the first derivative of o(d). Let q(v) = 0. What is v?
0, 10
What is d in 23 + 13 + 167*d**2 + 6*d**3 + 48*d - 22*d**3 - 175*d**2 + 4*d**4 = 0?
-1, 3
Suppose 92*r**4 + 296/7*r + 32/7 + 944/7*r**2 + 14*r**5 + 1226/7*r**3 = 0. Calculate r.
-4, -1, -2/7
Let j(x) = x**3 + 3*x**2 - 4*x - 10. Let o be j(6). Factor -o + 6*y - 291 + 6*y**2 + 583 + 2*y**3.
2*(y + 1)**3
Let c(y) be the second derivative of 1/11*y**5 + 2/33*y**4 - 2/11*y**2 + 0 - 5/33*y**3 - 5/231*y**7 - 2/165*y**6 + 17*y. Determine a, given that c(a) = 0.
-1, -2/5, 1
Let u(n) be the third derivative of n**7/483 + 3*n**6/230 + 2*n**5/115 - 2*n**4/69 + 24*n**2 - n. Factor u(i).
2*i*(i + 2)**2*(5*i - 2)/23
Let n(b) be the first derivative of -b**5/54 + 7*b**4/27 + 4*b**3/9 + 11*b**2/2 + 7. Let t(l) be the second derivative of n(l). Suppose t(w) = 0. What is w?
-2/5, 6
Let y(u) = -u**3 + 6*u**2 - 3*u - 5. Let m be y(5). Factor -30*f**3 - 3*f**4 + 35*f - m*f**2 - 80 - 2*f**4 + 112*f - 27*f.
-5*(f - 1)**2*(f + 4)**2
Let j(i) be the third derivative of -i**5/105 - 11*i**4/21 - 242*i**3/21 - 66*i**2. Let j(r) = 0. What is r?
-11
Let r(h) = 20*h**2 - 3*h + 0*h + 2*h**3 + 6*h**3 - h. Let c(x) = -x**4 - 15*x**3 - 41*x**2 + 9*x. Let p(m) = -4*c(m) - 9*r(m). Factor p(k).
4*k**2*(k - 4)*(k + 1)
Let j(z) be the first derivative of -z**4/30 + 7*z - 6. Let s(f) be the first derivative of j(f). Let s(n) = 0. Calculate n.
0
What is y in 49937*y**3 - 2200 - 2424 + 132*y**2 + 2040*y - 49935*y**3 = 0?
-34, 2
Suppose 0*d + 0 + 9/4*d**2 - 3/4*d**3 = 0. What is d?
0, 3
Let c(g) be the first derivative of 4*g**5/5 - 6*g**4 - 16*g**3/3 + 48*g**2 + 15. Let c(o) = 0. Calculate o.
-2, 0, 2, 6
Let w = -20 + 25. Suppose 24*a**2 + 39*a**3 + 3*a**w + 2*a + 10*a + 12*a**2 + 18*a**4 = 0. Calculate a.
-2, -1, 0
Let b = 33293/68 - 1957/4. Factor b - 16/17*j + 4/17*j**3 + 6/17*j**2.
2*(j - 1)*(j + 3)*(2*j - 1)/17
Let f(p) be the third derivative of -p**7/420 + p**6/240 + p**5/40 - 5*p**4/48 + p**3/6 - 201*p**2. Solve f(v) = 0.
-2, 1
Let t(n) = -14*n**3 + 10 + 8*n**3 - 3*n**3 - 2*n - 5*n**2 + 10*n**3. Let k be t(5). Factor -2/5*l**4 + 4/5*l**3 - 4/5*l + k*l**2 + 2/5.
-2*(l - 1)**3*(l + 1)/5
Let m(a) = 20*a + 5. Let s(z) = -7*z - 2. Let q(w) = -6*m(w) - 17*s(w). Let r be q(2). Suppose l**r + 11 - 11 = 0. What is l?
0
Let i(r) be the third derivative of -r**7/210 + 11*r**6/120 - 11*r**5/20 + 5*r**4/24 + 25*r**3/3 + 319*r**2 + 2*r. Let i(n) = 0. What is n?
-1, 2, 5
Find q, given that -54 + 214*q + 9/2*q**4 - 551/2*q**2 + 111*q**3 = 0.
-27, 2/3, 1
Let s(l) be the second derivative of 5*l**6/6 + 267*l**5/4 - 845*l**4/2 + 1730*l**3/3 + 1140*l**2 + l - 273. Solve s(t) = 0 for t.
-57, -2/5, 2
Factor -195*n + 162*n - 27 + 3*n**2 - 31 + 11 + 11.
3*(n - 12)*(n + 1)
Let n(u) = 3*u**4 + 6*u**3 + 6*u**2 - 9. Let v(s) = -3*s**4 - 4*s**3 - 5*s**2 - s + 8. Let c(m) = -5*n(m) - 6*v(m). Factor c(o).
3*(o - 1)**3*(o + 1)
Let w = -5831 - -5834. Suppose -3/4*i**3 - w*i**2 + 0 - 3*i = 0. What is i?
-2, 0
Let v(o) be the first derivative of 9/2*o - 1/2*o**3 - 3 - 3/2*o**2. Solve v(a) = 0 for a.
-3, 1
Let c(l) be the first derivative of -l**4/18 - 10*l**3/9 - 25*l**2/3 - 5*l + 6. Let r(x) be the first derivative of c(x). Factor r(w).
-2*(w + 5)**2/3
Suppose -90 = -s - 4*s. Let w = -15 + s. Solve -2*a**3 - 9*a**4 + 2*a**2 + a**2 - 4*a**w = 0 for a.
-1, 0, 1/3
Let n(o) = -13*o**4 + 8*o**3 - 16*o - 7. Let r(x) = 3*x**4 - x**2. Let v(m) = 5*n(m) + 30*r(m). Factor v(l).
5*(l + 1)**3*(5*l - 7)
Suppose d + 552 = 7*d. Let o be (-4)/2 - d/(-16). Suppose 0*a + o*a**4 + 5/4*a**2 - 5*a**3 + 0 = 0. What is a?
0, 1/3, 1
Let v(b) be the first derivative of 2*b**3/27 - 70*b**2/9 - 142*b/9 - 403. Factor v(s).
2*(s - 71)*(s + 1)/9
Let f(p) be the third derivative of p**7/2520 - p**6/1080 - p**5/360 + p**4/72 - 2*p**3/3 + 16*p**2. Let u(k) be the first derivative of f(k). Factor u(d).
(d - 1)**2*(d + 1)/3
Determine v so that 0*v + 0 + 0*v**2 - 50/17*v**3 - 2/17*v**5 - 20/17*v**4 = 0.
-5, 0
Let a(w) be the first derivative of -3*w**4/4 + 2*w**3 + 15*w**2/2 - 18*w - 51. What is h in a(h) = 0?
-2, 1, 3
Let f be (-4)/(-22) - (-10 + 816/132). Let z(m) be the second derivative of -6*m + 1/12*m**f + 0 + 1/3*m**3 + 0*m**2. Find g, given that z(g) = 0.
-2, 0
Let r(n) be the second derivative of -n**4/48 + n**3/24 + 3*n**2/4 + 73*n. Factor r(l).
-(l - 3)*(l + 2)/4
Let k(s) be the first derivative of s**7/1155 - s**5/165 + s**3/33 + 9*s**2/2 + 15. Let n(q) be the second derivative of k(q). Factor n(y).
2*(y - 1)**2*(y + 1)**2/11
Let f(i) be the first derivative of -2*i**3/51 + 12*i**2/17 - 40*i/17 + 166. Let f(c) = 0. Calculate c.
2, 10
Let c(g) be the first derivative of 2*g**3/9 - 31*g**2/3 + 260*g/3 - 733. Fin