j**2 + 2/7*j**t + 0 - 4/7*j**3 + 4/7*j = 0 for j.
-1, 0, 1, 2
Let u(r) = r**3 + 3*r**2 + r + 6. Let n be u(-3). Factor 12*f**n - 16*f + 7*f**3 - 7*f**3 - 8*f**2 + 2*f**5 + 10*f**4.
2*f*(f - 1)*(f + 2)**3
Let m(p) be the first derivative of 5/3*p**4 - 13 - 14/3*p**2 - 32/9*p**3 + 8*p. Factor m(k).
4*(k - 2)*(k + 1)*(5*k - 3)/3
Let p(h) = -2*h**3 + 124*h**2 + 344*h + 352. Let q(s) = s**3 - 82*s**2 - 230*s - 234. Let o(z) = 5*p(z) + 8*q(z). Factor o(v).
-2*(v + 2)**2*(v + 14)
Suppose -3*h - 3*m + 25 = -h, 0 = -5*h + m + 20. Solve j + j**5 - 768*j**3 + 766*j**3 + 4*j**h - 4*j**5 = 0 for j.
-1, 0, 1
Let m(x) = 2*x**3 + 39*x**2 - 22*x - 38. Let v(g) = -4*g + 16. Let t be v(9). Let i be m(t). Determine y so that 0 - 10/7*y**3 + 0*y - 50/7*y**4 + 4/7*y**i = 0.
-2/5, 0, 1/5
Suppose -5*w + 2*c + 25 = -c, 3*w - 4*c - 26 = 0. Factor 3 - 66*p + 2 + 5*p**w + 38*p + 38*p.
5*(p + 1)**2
Let d(u) be the third derivative of u**8/1848 - u**7/231 + 7*u**6/660 + u**5/330 - 2*u**4/33 + 4*u**3/33 - 2*u**2 + 147. Let d(z) = 0. Calculate z.
-1, 1, 2
Let z(s) be the second derivative of 3/140*s**5 + 0 - 1/28*s**4 - 13*s + 0*s**2 + 1/35*s**6 + 0*s**3. Factor z(h).
3*h**2*(h + 1)*(2*h - 1)/7
Let z = 33 + -49. Let w = z - -21. What is j in -2*j**3 - 4*j**5 + 5*j**4 - j**w + 2*j**5 = 0?
0, 2/3, 1
Suppose -4*j + 9 = -3. Suppose b = l - 8, -j*b + 3 + 3 = 0. Factor -17*u + 22*u**3 + l*u**4 + 19*u - 2 - 2*u**4 + 18*u**2.
2*(u + 1)**3*(4*u - 1)
Let h(q) be the third derivative of -8*q**2 + 1/240*q**5 + 0*q + 0*q**3 - 1/120*q**6 - 1/280*q**7 + 0 + 1/48*q**4. Factor h(p).
-p*(p + 1)**2*(3*p - 2)/4
Let f be 1 - 5/(-2) - (-2)/(-4). Let k(z) be the second derivative of 0 + 4/9*z**f - 1/18*z**4 + 4/3*z**2 - 1/30*z**5 - 2*z. Solve k(t) = 0.
-2, -1, 2
Let d = -2127/260 + 107/13. Let y(s) be the third derivative of 1/50*s**6 + 0*s - 1/20*s**5 + d*s**4 + s**2 + 0 - 1/350*s**7 + 0*s**3. What is z in y(z) = 0?
0, 1, 2
Let r(m) be the first derivative of -m**4/3 - 44*m**3/9 + 2*m**2/3 + 44*m/3 + 235. Solve r(q) = 0.
-11, -1, 1
Let y be -2564*3/(-60) - 1/5. Let c = -892/7 + y. Determine t, given that 0 + 2/7*t - 2*t**3 + c*t**2 + 8/7*t**4 = 0.
-1/4, 0, 1
Suppose -191 = -f + v + v, 0 = -4*f - v + 791. Factor -30*w**2 + 12*w**4 - f + 207 + 5*w**3 + 5*w - 2*w**4.
5*(w - 1)**2*(w + 2)*(2*w + 1)
Solve 16*f**4 - 12*f + 20*f**2 + 8*f**2 - 20*f**3 - 7*f**4 - 5*f**4 = 0.
0, 1, 3
Suppose -3*y = 3*n - 3, -y + 2 = 2*n - 4. Let o be ((-12)/n*1)/(-2 - -1). Factor -o*d**4 + 0*d**3 + 9/5*d**2 + 0 - 3/5*d.
-3*d*(d + 1)*(2*d - 1)**2/5
Let c = 15 - 10. Suppose 5*y - 5*i + c = 0, -22 = -0*y - 5*y - 4*i. Factor 1 + 3/4*w**3 + 1/4*w**2 - y*w.
(w - 1)*(w + 2)*(3*w - 2)/4
Let v(x) be the first derivative of 21*x**4/32 + 89*x**3/8 - 39*x**2/8 - 131. Solve v(y) = 0 for y.
-13, 0, 2/7
Let x(a) = 24*a**2 + 26*a. Let n(q) be the first derivative of 5*q**3/3 + 5*q**2/2 + 16. Let k(b) = -16*n(b) + 3*x(b). Find r, given that k(r) = 0.
-1/4, 0
Let s(u) be the second derivative of 5/2*u**3 + 0 - 3*u**2 - u**4 + 3/20*u**5 + 14*u. Let s(p) = 0. What is p?
1, 2
Suppose -3*b = -3*k, -23*k = -25*k - b. Factor k + 2/17*s - 4/17*s**2 + 2/17*s**3.
2*s*(s - 1)**2/17
Let t(y) be the first derivative of y**3/3 + 3*y**2 - 7*y + 148. Find o, given that t(o) = 0.
-7, 1
Let k be (-362)/62 - -3 - (1 + -4). Let w = k + 1/186. Solve 0*a - 1/6*a**2 + w = 0 for a.
-1, 1
Let z(x) be the second derivative of -3*x**5/35 + 13*x**4/21 - 8*x**3/7 + 69*x. Factor z(v).
-4*v*(v - 3)*(3*v - 4)/7
Solve -1/4*v**3 + 1/4*v - 1/4*v**2 + 0 + 1/4*v**4 = 0 for v.
-1, 0, 1
Let l(g) = 5*g. Let p(j) = 40*j**3 + j**2 + 2*j + 1. Let d be p(-1). Let x(i) = i**2 - 45*i. Let m(q) = d*l(q) - 5*x(q). Solve m(k) = 0.
0, 5
Let f = 10592/5 - 2118. Factor -8/5*x - f - 6/5*x**2.
-2*(x + 1)*(3*x + 1)/5
Factor -14/3*j - 10/3*j**3 + 4/3 - 28/3*j**2.
-2*(j + 1)*(j + 2)*(5*j - 1)/3
Suppose 0 = -5*f + n + 15, -8*n + 3*n - 31 = -3*f. Determine a, given that -8/19*a - 6/19*a**f + 8/19*a**3 + 8/19 - 2/19*a**4 = 0.
-1, 1, 2
Let c(r) = -r**3 - 6*r**2 + 8*r + 10. Let t be c(-7). Let g = 137/8 + -135/8. Let -15/4*h + 9/4 + 7/4*h**2 - g*h**t = 0. Calculate h.
1, 3
Let w be 3/(-5) + ((-2898)/1295)/(-6). Let j = -1/37 - w. Factor -1/5*b**4 + 0 + 0*b + 0*b**2 + j*b**3.
-b**3*(b - 1)/5
Let o(d) be the first derivative of 0*d + 4/75*d**5 + 1/45*d**6 + 11 + 0*d**4 - 1/15*d**2 - 4/45*d**3. Let o(m) = 0. What is m?
-1, 0, 1
Let w = 63/67 + 5849/335. Factor 2/5*i**4 + 10 + 24*i + 24/5*i**3 + w*i**2.
2*(i + 1)**2*(i + 5)**2/5
Factor -42/5 + 6/5*c**2 - 36/5*c.
6*(c - 7)*(c + 1)/5
Let m(b) = -b**2 - 4*b + 2. Let x be m(-3). Find v, given that -x*v**3 - 30*v + 30*v = 0.
0
Suppose u = -236 + 241. Let q(r) be the first derivative of -r**4 + 0*r - 4/5*r**u + 0*r**3 + 0*r**2 - 3. Determine c, given that q(c) = 0.
-1, 0
Let o(b) be the first derivative of -b**3/4 + 69*b**2/4 - 1587*b/4 - 21. Find u such that o(u) = 0.
23
Suppose 5*o - 29 = 291. Let k be (1/(-12))/((-16)/o). Factor 0*s + k*s**2 + 0.
s**2/3
Let p(k) be the first derivative of -k**6/108 - k**5/90 + 7*k**4/36 + 12*k**3 + 15. Let d(x) be the third derivative of p(x). Find h such that d(h) = 0.
-7/5, 1
Let q(t) be the first derivative of -9 + 0*t + 6/5*t**5 + 3/4*t**4 + 0*t**3 + 1/2*t**6 + 0*t**2. Factor q(k).
3*k**3*(k + 1)**2
Let i(c) be the second derivative of c**7/1260 + c**6/180 + c**4/3 + 4*c. Let a(w) be the third derivative of i(w). Suppose a(h) = 0. Calculate h.
-2, 0
Factor 64/13 + 20/13*w**2 - 2/13*w**3 - 64/13*w.
-2*(w - 4)**2*(w - 2)/13
Suppose -3 = -f + 9. Find u, given that -7*u**4 - 4*u - 3*u - 21*u**4 - f*u**2 - u + 48*u**3 = 0.
-2/7, 0, 1
Let y be ((-3)/2)/((-33)/44). Factor -2/9*x**3 - 4/9 + 2/3*x + 0*x**y.
-2*(x - 1)**2*(x + 2)/9
Let d be (-2)/(-14) + (-68)/(-14). Let y(h) be the first derivative of 0*h**2 - 3/7*h**4 - 5 + 0*h + 2/21*h**3 + 18/35*h**d. Suppose y(f) = 0. Calculate f.
0, 1/3
Let m(u) be the third derivative of -u**5/150 + 71*u**4/30 - 5041*u**3/15 + 184*u**2. Factor m(a).
-2*(a - 71)**2/5
Let t = -2/10063 + 30203/70441. Factor 0 - 15/7*f + 18/7*f**2 - t*f**3.
-3*f*(f - 5)*(f - 1)/7
Let i(n) be the third derivative of n**7/350 - 11*n**5/100 + 9*n**4/20 - 4*n**3/5 - 6*n**2 + 3*n. Factor i(o).
3*(o - 2)*(o - 1)**2*(o + 4)/5
Let f(w) be the first derivative of w**5/35 - w**4/14 - 12*w**3/7 - 44*w**2/7 - 64*w/7 - 792. Factor f(q).
(q - 8)*(q + 2)**3/7
Let q = -122 - -124. Determine i, given that 8 + 5*i**3 + 70*i + 35*i**2 + 18 + q + 12 = 0.
-4, -2, -1
Let 18/19*g**3 + 2/19*g**5 + 4/19*g - 10/19*g**4 + 0 - 14/19*g**2 = 0. What is g?
0, 1, 2
Let t = 44 - 46. Let j(v) = 7*v**3 - 10*v**2 + 5*v. Let f(l) = -120*l**3 + 170*l**2 - 85*l. Let r(z) = t*f(z) - 35*j(z). Let r(x) = 0. Calculate x.
0, 1
Let o(v) be the first derivative of 10 + 20*v - 10*v**2 - 5/3*v**3 + 5/4*v**4. Suppose o(y) = 0. Calculate y.
-2, 1, 2
Let s(r) be the third derivative of -1/210*r**7 + 0 + 10*r**2 - 1/2*r**3 + 0*r + 1/15*r**5 + 1/12*r**4 - 1/60*r**6. Factor s(w).
-(w - 1)**2*(w + 1)*(w + 3)
Let g(u) be the third derivative of -u**6/120 - u**5/4 - 9*u**4/8 - 13*u**3/6 + 2*u**2 + 8*u. Factor g(m).
-(m + 1)**2*(m + 13)
Suppose 3*j - 6*j = -3*x - 9, -2*j = 2*x + 6. Suppose j = -b + 17 - 0. Find q such that 20*q**3 - 16*q**3 + 36*q**2 - 12*q + b*q**3 = 0.
-2, 0, 2/7
Suppose 0 = -7*n + 4*n - 174. Let i = n - -117/2. Factor k + k**2 - 3/4*k**3 - i*k**4 + 1/4*k**5 + 0.
k*(k - 2)**2*(k + 1)**2/4
Let d(r) be the first derivative of -2*r**3 + 0*r**2 - 1/40*r**5 - 1/4*r**4 + 6 + 0*r + 1/120*r**6. Let j(a) be the third derivative of d(a). Factor j(m).
3*(m - 2)*(m + 1)
Let s(p) = -63*p + 949. Let u be s(15). Factor -1/2*g**2 - 1/6*g**u + 1/6*g + 1/2*g**3 + 0.
-g*(g - 1)**3/6
Let f(k) be the second derivative of -2*k**6/105 - 2*k**5/35 + 11*k**4/21 + 8*k**3/7 - k - 34. Suppose f(a) = 0. Calculate a.
-4, -1, 0, 3
Let b(l) be the first derivative of -l**6/1200 + l**5/600 + l**4/120 - 17*l**2/2 + 9. Let x(y) be the second derivative of b(y). Let x(t) = 0. Calculate t.
-1, 0, 2
Let 165/4*h**3 - 155/4*h**2 - 165/4*h - 5/4*h**4 + 40 = 0. What is h?
-1, 1, 32
Let d(t) = -4*t**2 - 36*t - 34. Let k(j) = 21*j**2 + 179*j + 169. Let g(m) = 11*d(m) + 2*k(m). Suppose g(r) = 0. What is r?
-18, -1
Let -8*b**3 - 17*b**3 + 5*b**3 - 4*b**2 + 13 - 5 - 28*b**2 - 4*b = 0. Calcu