-1
Let m be -2 + (3 - 15/36). Let r(y) be the second derivative of -2*y**2 + y + 1/4*y**5 + m*y**4 + 0 - 4/3*y**3. Factor r(t).
(t - 1)*(t + 2)*(5*t + 2)
Let t(b) be the second derivative of b**4/8 - 3*b**2/4 + 34*b. Suppose t(j) = 0. What is j?
-1, 1
Let r be (-3)/18*24/(-9). Let g(v) be the second derivative of 0 + 1/45*v**6 + 2*v + 1/3*v**4 - 2/15*v**5 + 1/3*v**2 - r*v**3. Factor g(w).
2*(w - 1)**4/3
Let f = -2 - -6. Solve -6*t**2 + 5*t**2 + f*t - 3*t**2 = 0.
0, 1
Let k be ((-64)/12)/((-20)/4 + 2). Find s such that -k*s - 32/9 - 2/9*s**2 = 0.
-4
Let w = 41 - 37. Let d(h) be the third derivative of 0*h**3 + 1/20*h**5 + 0*h + 3*h**2 - 1/4*h**w + 0. Find l, given that d(l) = 0.
0, 2
Let c(x) be the first derivative of -5*x**5/3 - 5*x**4/2 + 11*x**3/9 + 2*x**2 - 4*x/3 - 52. Let c(m) = 0. Calculate m.
-1, 2/5
Let n(z) = -1. Let u(r) = -r**2 - 13*r - 47. Let i(l) = -l**2 - 7*l - 23. Let x(v) = -5*i(v) + 2*u(v). Let c(p) = 15*n(p) + x(p). Solve c(b) = 0 for b.
-2, -1
Let b(z) = z**3 - 12*z**2 + 10*z. Let y be b(11). Let i be y + 12 + 4/(-6). Factor 0*x + i - 1/3*x**2.
-(x - 1)*(x + 1)/3
Suppose -5*a = 3*r - 15 - 118, 2*r - a - 67 = 0. Let m be (10/r)/(2/8). Factor -2/9 - 8/9*w**2 + m*w.
-2*(w - 1)*(4*w - 1)/9
Suppose -2*v + 2*l = 0, -5*v = -l - 3*l - 2. Suppose 4/7*f**3 - 2/7*f**v - 2/7*f**4 + 0 + 0*f = 0. Calculate f.
0, 1
Let b(f) = 2*f**3 + 3*f**2 - 14*f - 1. Let w(h) = -h**3 - h**2 + 7*h + 1. Let k(u) = -6*b(u) - 14*w(u). Suppose k(p) = 0. Calculate p.
-1, 4
Let n = -8 - -11. Suppose 2*b - 10 = -n*b. Factor -6/5*k + 4/5 + 0*k**b + 2/5*k**3.
2*(k - 1)**2*(k + 2)/5
Let o(w) be the first derivative of -w**4/20 + w**3/15 + w**2/10 - w/5 - 10. Solve o(s) = 0 for s.
-1, 1
Let s(m) be the third derivative of -m**7/70 - m**6/40 + 3*m**5/20 + m**4/8 - m**3 - 6*m**2. Let s(r) = 0. What is r?
-2, -1, 1
Let j(n) be the second derivative of n**7/14 + n**6/30 - 13*n**5/30 - 7*n**4/9 - 4*n**3/9 + 11*n. Solve j(r) = 0 for r.
-1, -2/3, 0, 2
Let j be (-4)/(-18) + (-145)/126. Let d = -3/7 - j. Factor 3/2*y**2 - 1/2*y**3 + d - 3/2*y.
-(y - 1)**3/2
Let c = -82 - -86. Suppose -1/3*n**5 - 2/3*n**2 + 1/3*n**c + 2/3*n**3 - 1/3*n + 1/3 = 0. Calculate n.
-1, 1
Suppose -z = -4*h + 16, 0*h + 15 = -z + 3*h. Let g = z + 13. Factor -g + 3/2*k - 1/2*k**2.
-(k - 2)*(k - 1)/2
Let b(h) be the first derivative of 3*h**5/20 + 21*h**4/16 + 3*h**3 - 3*h**2/2 - 12*h + 41. Determine v so that b(v) = 0.
-4, -2, 1
Let i(h) be the second derivative of h**6/165 + h**5/110 + 4*h. What is g in i(g) = 0?
-1, 0
Let k(a) be the second derivative of -5*a**4/4 - 6*a**3 - 6*a**2 + 10*a. Suppose k(y) = 0. What is y?
-2, -2/5
Let u(b) = -b**4 - b**3 - b**2 - b - 1. Let d(s) = -4*s**3 + 8*s + 6. Let m(c) = -d(c) - 2*u(c). Let m(y) = 0. Calculate y.
-2, -1, 1
Let q be (-1 + -2)*(-1)/(-3). Let u = q - -3. Factor 8*l + 1 + 2*l**2 - 8*l**3 - 3 + 0*l**u.
-2*(l - 1)*(l + 1)*(4*l - 1)
Suppose 0*c = 5*s - 4*c + 3, -2*c = 3*s - 7. Factor 2*m**2 + 0 - m**2 + s - 2*m.
(m - 1)**2
Let w(c) = 3*c**4 + 2*c**3 + 2*c + 1. Let v(d) = d + 7*d**4 - 5*d**4 + 1 + d + d**3. Let r(h) = -4*v(h) + 3*w(h). Suppose r(j) = 0. What is j?
-1, 1
Let g be (-262)/10*(0 - -1). Let v = 27 + g. Factor 2/5*q**2 + 0 + v*q.
2*q*(q + 2)/5
Let g(q) be the first derivative of 1 - q - q**3 - 3/2*q**2 - 1/4*q**4. Solve g(o) = 0.
-1
Let j(o) = o**3 - 2*o**2 + o + 2. Let i(z) = z**3 - z**2 + 1. Let y(h) = 2*i(h) - j(h). Let y(v) = 0. What is v?
-1, 0, 1
Let a(t) be the second derivative of -t**7/56 + t**6/40 + 3*t**5/20 - t**4/4 + 6*t. Solve a(q) = 0.
-2, 0, 1, 2
Let j(d) be the third derivative of -3*d**8/560 + 4*d**7/175 - 7*d**6/200 + d**5/50 - 6*d**2. Factor j(r).
-3*r**2*(r - 1)**2*(3*r - 2)/5
Let s(a) = a - 1. Let i(r) = -3*r**2 - r + 4. Let o(y) = y**3 - 4*y**2. Let u be o(4). Suppose 0 = -u*t + t - 4. Let b(c) = t*s(c) + 2*i(c). Factor b(q).
-2*(q - 1)*(3*q + 2)
Let f(u) be the second derivative of 25*u**4/12 + u**3/3 + 41*u. Suppose f(q) = 0. What is q?
-2/25, 0
Let k(r) = 33*r - 394. Let b be k(12). Factor -4/3*z - 4/3*z**3 - 8/3*z**b + 0.
-4*z*(z + 1)**2/3
Let k(y) be the third derivative of y**6/420 - y**5/30 + 5*y**4/28 - 3*y**3/7 - 4*y**2. Factor k(d).
2*(d - 3)**2*(d - 1)/7
Let t = 73/196 - 6/49. Factor t*y**3 - 1/2*y - 1/4*y**2 + 0.
y*(y - 2)*(y + 1)/4
Let i be ((-76)/16 - -5) + 1/4. Let t = 53/12 - 11/3. Determine b, given that t*b - 1/4*b**2 - i = 0.
1, 2
Let j(t) be the third derivative of -t**5/120 + t**4/48 + t**3/6 - t**2. Suppose j(m) = 0. What is m?
-1, 2
Let j(u) be the third derivative of -1/6*u**3 + 1/12*u**4 + 0 - 1/60*u**5 + 0*u + 3*u**2. Factor j(z).
-(z - 1)**2
Let q be (1/9)/(1 - 0). Let o(c) be the first derivative of -1/3*c - 1 + 0*c**2 + q*c**3. Factor o(m).
(m - 1)*(m + 1)/3
Let h = 821 + -5746/7. Factor 1/7*s**3 - 1/7 - h*s + 1/7*s**2.
(s - 1)*(s + 1)**2/7
Let z be 2632/288 + 2/(-8). Let g = z - 382/45. Find y such that 2/5 + 2/5*y**3 - 2/5*y - g*y**2 = 0.
-1, 1
Let y(i) be the first derivative of -i**4/8 + i**3/3 - 9. Factor y(j).
-j**2*(j - 2)/2
Let y(r) be the first derivative of -2*r**5/15 - 5*r**4/6 - 2*r**3/3 + 5*r**2/3 + 8*r/3 + 4. Find j such that y(j) = 0.
-4, -1, 1
Let k(p) be the first derivative of -16/3*p - 28/9*p**3 + 20/3*p**2 - 4 + 1/2*p**4. Factor k(s).
2*(s - 2)**2*(3*s - 2)/3
Let a(h) be the third derivative of -h**7/630 + h**6/360 - h**2. Suppose a(j) = 0. What is j?
0, 1
Let t(h) be the first derivative of 3*h**4/4 + 19*h**3/7 + 12*h**2/7 - 12*h/7 - 19. Find u such that t(u) = 0.
-2, -1, 2/7
Let q(w) = 2*w**2 + 3*w + 1. Let b be q(-2). Solve 22*g**4 + g**3 + g**3 - 4*g**3 - 2*g**b - 12*g**5 + 4*g - 10*g**2 = 0.
-2/3, 0, 1/2, 1
Suppose -25/6 + 5/3*z - 1/6*z**2 = 0. What is z?
5
Let y(x) = -8*x**3 - 148*x**2 + 8*x + 170. Let s(f) = -f**3 - 21*f**2 + f + 24. Let b(z) = -44*s(z) + 6*y(z). What is a in b(a) = 0?
-1, 1, 9
Factor 2/13*x**2 + 4/13 - 6/13*x.
2*(x - 2)*(x - 1)/13
Let c(s) = s - 1. Let b be c(-3). Let g(j) = -23*j**2 - 9*j - 8. Let z(x) = 8*x**2 + 3*x + 3. Let w(i) = b*g(i) - 11*z(i). Factor w(u).
(u + 1)*(4*u - 1)
Let n(t) be the first derivative of 6*t**4/5 + 8*t**3/3 + 11*t**2/5 + 4*t/5 - 19. Solve n(h) = 0 for h.
-2/3, -1/2
Let a = -27/26 - -20/13. Solve 1/2 + 1/2*v - a*v**2 - 1/2*v**3 = 0.
-1, 1
Let j be 4 + ((-245)/(-10) - 3). Let q = j - 25. Determine p, given that 7/4*p**5 + 0 + 15/4*p**3 - 1/4*p**2 - q*p - 19/4*p**4 = 0.
-2/7, 0, 1
Let a = 787/168 - 1/56. Let 2/3*t**4 + a*t + 4/3 + 10/3*t**3 + 6*t**2 = 0. What is t?
-2, -1
Let i(o) be the second derivative of -o**4/114 - 8*o**3/57 + 3*o + 10. Suppose i(w) = 0. What is w?
-8, 0
Let z(m) be the second derivative of m**7/231 - 4*m**6/165 + m**5/110 + 5*m**4/33 - 4*m**3/33 - 8*m**2/11 + 2*m. Factor z(p).
2*(p - 2)**3*(p + 1)**2/11
Let w = 457/406 - -1/58. Let 0 + 4/7*n**2 + w*n = 0. What is n?
-2, 0
Let s(f) = -f**3 + 3*f**2 + 4*f + 2. Let i be s(4). Let q be (-25)/(-15) - 2/i. Solve 8/3*j + q*j**2 + 8/3 = 0.
-2
Let f(w) be the second derivative of 2*w**7/21 + 8*w**6/15 + 6*w**5/5 + 4*w**4/3 + 2*w**3/3 + 33*w. Factor f(u).
4*u*(u + 1)**4
Let n be (-4)/(8/14) - -2. Let i = -3 - n. Factor i*p**4 + 24*p + 5*p**2 + 8 + 3*p**2 + 12*p**3 + 18*p**2.
2*(p + 1)**2*(p + 2)**2
Let x(n) be the third derivative of 1/15*n**5 + 0*n - 2/3*n**3 + 1/12*n**4 + n**2 - 1/60*n**6 + 0. Factor x(z).
-2*(z - 2)*(z - 1)*(z + 1)
Let t(v) = -v**3 - 18*v**2 + 20*v + 21. Let k be t(-19). Factor 6/5*f**3 + 0 - 4/5*f + 14/5*f**4 - 6/5*f**k + 6/5*f**5.
2*f*(f + 1)**3*(3*f - 2)/5
Suppose 4*p - 3*r - 6 = 2, 2*p = 3*r - 2. Suppose 3 = p*w + 3*m, -4*m + 4 = 5*w - 0. Factor y - 5*y + 2*y**2 + w*y.
2*y*(y - 2)
Factor 2*u**4 - 18*u - 35*u**3 - 34*u**2 + u**4 + 73*u**2 + 11*u**3.
3*u*(u - 6)*(u - 1)**2
Let y be 4/54*(-48)/(-16). Let y*k**2 + 0 - 14/9*k**3 + 0*k + 10/3*k**4 - 2*k**5 = 0. Calculate k.
0, 1/3, 1
Let w(c) be the second derivative of -1/90*c**5 + 0 - 1/27*c**4 - 4*c + 1/27*c**3 + 2/9*c**2. Let w(i) = 0. What is i?
-2, -1, 1
Suppose 5*n + 19 = 2*v, 4*v - 1 = -5*n - 8. Determine b, given that -b - 1/2 - 1/2*b**v = 0.
-1
Let x be (-1 + -1)/(3/(-3)). Let w = 201/4 + -50. Solve -w*n**4 + 0*n**3 - 1/4 + 0*n + 1/2*n**x = 0.
-1, 1
Let o(k) = 10*k**3 - 45*k**2 + 115*k - 85. Let g(y) = -11*y**3 + 45*y**2 - 114*y + 86. Let p(v) = 5*g(v) + 6*o(v). Suppose p(m) = 