*y**4 - n*y**3 + 1.
(y - 2)*(y - 1)*(y + 1)**2/2
Let w(i) = 4*i**2 - 2*i. Let z(k) = -5*k**2 - 1 + 4*k**2 - 58*k + 59*k. Suppose 25*y = 27*y + 2. Let n(l) = y*w(l) - 2*z(l). Let n(u) = 0. What is u?
-1, 1
Let y(t) be the second derivative of t**5/20 + t**4/12 + t**3/6 + t**2 - t. Let x be y(0). Solve 3*q**2 + 3 - 5*q**2 + x*q**3 - 3 = 0.
0, 1
Let o be ((-2)/3)/(44/(-132)). Let a(k) be the third derivative of 1/8*k**3 + 1/80*k**5 - 1/16*k**4 + 0 + o*k**2 + 0*k. Factor a(l).
3*(l - 1)**2/4
Let y(s) = -60*s**5 + 85*s**4 - 35*s - 35. Let q = 61 - 96. Let p(b) = -5*b**5 + 7*b**4 - 3*b - 3. Let t(u) = q*p(u) + 3*y(u). Factor t(j).
-5*j**4*(j - 2)
Suppose -4*m = -2 - 14. Suppose -5*z + 10 = 2*h - m*h, 5*h - 5 = 5*z. Determine k, given that 0 + 0*k**3 + 1/2*k**z + k - 3/2*k**2 = 0.
-2, 0, 1
Suppose r = 5*a + 17, -22 = -5*r - 11*a + 15*a. Suppose 0 = 2*y - 5*l - 5, 0 = -3*y - l + r - 3. Factor 0*v + 2/3*v**2 + y.
2*v**2/3
Let r(m) be the third derivative of -m**7/1995 + 2*m**5/285 - m**2 + 54. Factor r(h).
-2*h**2*(h - 2)*(h + 2)/19
Let d = -271/6 + 136/3. Let k(z) be the first derivative of 1/4*z**2 + z - 2 - d*z**3. Determine g, given that k(g) = 0.
-1, 2
Suppose -u - h = 11, -5*u + 4*h - 8*h - 59 = 0. Let l = 18 + u. Factor 66/5*q**4 + 114/5*q**3 + 96/5*q**2 + 39/5*q + 6/5 + l*q**5.
3*(q + 1)**4*(5*q + 2)/5
Let y(a) be the second derivative of -a**6/15 + 4*a**5/5 - 5*a**4/6 - 50*a**3/3 + 373*a. Find q such that y(q) = 0.
-2, 0, 5
Let s = 136 + -134. Let i be (-24)/(-84) - (-4)/35. Let 6/5*f + i*f**3 - 6/5*f**s - 2/5 = 0. Calculate f.
1
Let b(i) be the first derivative of i**6/300 - i**5/150 - i**4/30 + 11*i**2/2 + 13. Let c(k) be the second derivative of b(k). Let c(j) = 0. What is j?
-1, 0, 2
Let o(d) be the third derivative of -d**9/7560 + d**8/3360 + d**7/630 + d**4/2 + 3*d**2. Let f(s) be the second derivative of o(s). Factor f(y).
-2*y**2*(y - 2)*(y + 1)
Let t(j) be the second derivative of -j**4/9 - 40*j**3/9 + 14*j**2 - 43*j. Factor t(n).
-4*(n - 1)*(n + 21)/3
Let t be 1*(1 + -2) - -3. Let y = -36293 - -108884/3. Factor -7/3*k**t + 4/3 - y*k**3 + 8/3*k.
-(k - 1)*(k + 2)*(5*k + 2)/3
Let k be (-4)/3*(-3)/2. Let i = 348 - 346. Factor s**4 + 2*s**2 - k*s**i - 4*s**2 + 3*s**4.
4*s**2*(s - 1)*(s + 1)
Let h = 83/32 - 3/32. Suppose -4*f + 26 - 14 = 0. Let -7/2*u + h*u**2 - 1/2*u**f + 3/2 = 0. What is u?
1, 3
Let c = 131/95 - 11/19. Factor 0*w**2 + c - 6/5*w + 2/5*w**3.
2*(w - 1)**2*(w + 2)/5
Let d(z) = z. Suppose -a = -30 + 28. Let v be d(a). Suppose 2/3*x - 1/3 - 1/3*x**v = 0. Calculate x.
1
Let c(w) be the second derivative of 0 + 5/3*w**3 - 3*w + 0*w**2 + 5/12*w**4. Find u such that c(u) = 0.
-2, 0
Let h(r) = -3*r**3 + r**2 - 7*r - 1. Let z(i) = i**3 + 3*i. Let p be 6 - (7 + -1 + -2). Let s(w) = p*h(w) + 5*z(w). Let s(g) = 0. Calculate g.
-1, 1, 2
Let u be 3/(-4) - 51/(-4). Suppose k - 5*k = -u. Factor 11*v - 2*v - 27 - k*v**2 + 9*v.
-3*(v - 3)**2
Let m(s) be the third derivative of s**6/60 + 19*s**5/30 - 5*s**4/3 - 2*s**2 - 207. Let m(p) = 0. Calculate p.
-20, 0, 1
Let k = -575 + 575. Let c(y) be the second derivative of 1/15*y**3 + 1/15*y**4 - 1/50*y**5 + k + 6*y - 2/5*y**2. Let c(n) = 0. Calculate n.
-1, 1, 2
Let b be 5/(((48/4)/4)/37). Let q = 63 - b. Solve -2/3*v**2 - q*v - 2/3 = 0 for v.
-1
Let k(l) be the first derivative of -l**4/16 - 5*l**3/12 - l**2/4 + 2*l + 60. Determine i, given that k(i) = 0.
-4, -2, 1
Let l(w) be the third derivative of w**9/80640 - w**7/6720 + w**5/60 - 24*w**2. Let f(i) be the third derivative of l(i). Determine q so that f(q) = 0.
-1, 0, 1
Factor 14*z + 10*z + 8*z + 48*z - 5*z**3 + 75*z**2.
-5*z*(z - 16)*(z + 1)
Let o(g) = -958*g + 4792. Let z be o(5). Solve 20/9*s + 16/9*s**3 + 44/9*s**z - 8/9 = 0.
-2, -1, 1/4
Let l(k) be the first derivative of k**5/55 + 5*k**4/44 - 7*k**3/33 - 5*k**2/22 + 6*k/11 + 87. Find z, given that l(z) = 0.
-6, -1, 1
Let w(d) = 3*d**4 + 4*d**3 + 5*d**2 - 8*d - 2. Let y(s) = -4*s**4 - 3*s**3 - 6*s**2 + 7*s + 3. Let b(z) = 3*w(z) + 2*y(z). Solve b(a) = 0.
-5, -2, 0, 1
Let q(s) be the second derivative of 0*s**2 + 1/30*s**4 + 4/15*s**3 + 0 - 3*s. Determine g so that q(g) = 0.
-4, 0
Suppose z - 5*x - 19 = 0, 3*z - 13*x - 23 = -15*x. Let d(l) be the first derivative of z + 0*l - 2/7*l**2 + 1/14*l**4 - 2/21*l**3. Find h such that d(h) = 0.
-1, 0, 2
Suppose 4*c = 10*c - 162. Let 11*f + 13*f**2 - f**2 - c*f + 4 = 0. Calculate f.
1/3, 1
Let f = -41478/17 - -2440. Factor -4/17*m + 0 + 6/17*m**2 - f*m**3.
-2*m*(m - 2)*(m - 1)/17
What is y in 28 - 2/3*y**2 + 38/3*y = 0?
-2, 21
Find j such that 104/3 - 2/3*j**3 + 12*j**2 - 46*j = 0.
1, 4, 13
Let h = -12 - -14. Suppose -h*i - i - 26 = -5*c, -4*c - i = -14. Find y, given that -3*y**2 - 5 - c + 6*y + 18 = 0.
-1, 3
Let x be 1/(((-3)/(-1))/33). Factor 21*p**2 - 17*p**2 + x*p**2 - 5*p**3.
-5*p**2*(p - 3)
Let p be (-2)/7 - 90/(-21). Let a be (((-6)/(-9))/1)/(8/36). Let 4*v**4 - 5*v**5 - a*v**p + 4*v**3 - 6*v**3 - 8*v**4 = 0. What is v?
-1, -2/5, 0
Let h = 1624 + -1620. Factor 5/2*y**3 - 1 + h*y**2 + 1/2*y.
(y + 1)**2*(5*y - 2)/2
Let d(v) = 44*v**4 - 308*v**3 + 832*v**2 - 776*v + 236. Let a(s) = -8*s**4 + 56*s**3 - 151*s**2 + 141*s - 43. Let m(u) = 28*a(u) + 5*d(u). Factor m(t).
-4*(t - 3)*(t - 2)*(t - 1)**2
Let m(f) be the second derivative of f**6/420 + f**5/105 + 18*f**2 + 27*f. Let q(t) be the first derivative of m(t). What is z in q(z) = 0?
-2, 0
Let f = -40 - -40. Suppose 4*a + a = f. Factor 3/4*z**4 + 0*z + 3/4 - 3/2*z**2 + a*z**3.
3*(z - 1)**2*(z + 1)**2/4
Let g = 5963/29810 - 1/29810. Factor 0 + g*u + 3/5*u**3 - 1/5*u**4 - 3/5*u**2.
-u*(u - 1)**3/5
Let n(o) = -o**2 - 9*o + 8. Let y be n(-9). Find g, given that -8*g + y*g**2 - 4*g**2 - 2*g**2 + g**2 - 3 = 0.
-1/3, 3
Factor -21*j**4 - 648*j**2 + 1612*j + 2*j**5 + 45*j**4 - 36*j**3 - 154*j.
2*j*(j - 3)**2*(j + 9)**2
Suppose 5*w - 11 = 2*x, 3*x - 7*x = -2*w - 2. Factor 35*p**2 - 3*p**3 - 18*p**w + 40*p - 4*p**3 + 11 - 31.
-5*(p - 2)*(p + 1)*(5*p - 2)
Suppose 4*s + 9 + 7 = 0. Let j be 0 - (-1 + 4 + 2). Let w(o) = o**2 + 3*o + 11. Let l(c) = -c**2 - 4*c - 12. Let g(y) = j*l(y) + s*w(y). Factor g(h).
(h + 4)**2
Let d(o) = -173*o - 3287. Let c be d(-19). Suppose 2/19*y + 2/19*y**2 + c = 0. Calculate y.
-1, 0
Let x(q) = -15*q**4 + 15*q**3 + 123*q**2 + 255*q + 153. Let h(p) = 7*p**4 - 7*p**3 - 62*p**2 - 128*p - 76. Let u(d) = 9*h(d) + 4*x(d). Factor u(r).
3*(r - 6)*(r + 1)*(r + 2)**2
Let d(t) be the first derivative of -t**8/1470 + t**7/490 + t**6/315 - 8*t**3/3 + 11. Let z(i) be the third derivative of d(i). Factor z(x).
-4*x**2*(x - 2)*(2*x + 1)/7
Let d(q) = -2*q**2 - 8*q + 78. Let s(p) = p - 3. Let t(b) = 2*d(b) + 12*s(b). Suppose t(k) = 0. What is k?
-6, 5
Suppose 0*d = -4*y - d + 15, -y + 18 = 5*d. Suppose 19*c - 65*c**2 - 4*c + 3*c**3 + 17*c**y = 0. What is c?
0, 1/4, 3
Factor 0 - 1/7*g**3 + 5/7*g**2 - 4/7*g.
-g*(g - 4)*(g - 1)/7
Let b(d) be the second derivative of -d**4/4 - 14*d - 6. Solve b(k) = 0 for k.
0
Let c(l) = l**2 + 19*l - 14. Let d(q) = -20*q + 15. Let s(g) = -5*c(g) - 6*d(g). Solve s(n) = 0 for n.
1, 4
Let j = -42649/76650 - 4/5475. Let u = -2/35 - j. Solve -3/2*k - u*k**2 - 1 = 0.
-2, -1
Let k(m) be the second derivative of -m**8/30240 + m**6/1080 + m**5/270 + m**4 - 22*m. Let z(t) be the third derivative of k(t). Factor z(b).
-2*(b - 2)*(b + 1)**2/9
Let z = 281 + -276. Let f(j) be the first derivative of 0*j - 1/4*j**4 + z + 0*j**2 + 0*j**3 - 3/5*j**5 + 2/3*j**6. Let f(q) = 0. Calculate q.
-1/4, 0, 1
Suppose -2*v + 4*v - 2 = -3*k, 0 = -3*v + 3. Let y(i) be the first derivative of k*i**4 + 6/25*i**5 + 0*i**3 + 0*i + 1/10*i**6 + 0*i**2 + 10. Factor y(j).
3*j**4*(j + 2)/5
Let p be 5/(-20) + (-7)/4. Let s be (3/p)/((-24)/38) - 2. Let 3/2 + 3/2*d + s*d**2 = 0. Calculate d.
-2
Let a(c) be the second derivative of c**6/105 + c**5/5 + 10*c**4/7 + 24*c**3/7 - 353*c - 1. Factor a(n).
2*n*(n + 2)*(n + 6)**2/7
Let t(r) be the first derivative of 34 + 0*r + 3*r**2 - 3*r**3 + 3/5*r**5 + 0*r**4. Determine b, given that t(b) = 0.
-2, 0, 1
Suppose -8*b + 14*b = 126. Determine p so that 34*p**3 - 15*p**3 - 20*p**4 - 4 + 7*p**5 + 20*p - 3*p**5 + b*p**3 - 40*p**2 = 0.
1
Let n = -185 + 187. Let m(v) be the first derivative of -5 - 3*v**3 + 0*v - 3/4*v**4 - 3*v**n. Find x such that m(x) = 0.
-2, -1, 0
Det