?
-2, -1
Suppose -3*l + 0*l + 9 = 0. Suppose 5*d = -5*c + 25, l*c - d - 2 + 7 = 0. Let -1 + y**3 + 3*y**2 + c*y - 2*y**2 - y = 0. What is y?
-1, 1
Let j(x) be the first derivative of 7*x**4/8 - 11*x**3/2 + 8*x**2 + 6*x + 63. Determine q so that j(q) = 0.
-2/7, 2, 3
Let u be (-2 + (-8)/(-6))*-3. Suppose x + 4*a + 12 = 5*x, 0 = u*a. Factor -1/7*c**2 + 0 + 2/7*c - 3/7*c**x.
-c*(c + 1)*(3*c - 2)/7
Let h = 1255 - 1248. Let v(r) be the second derivative of -2/15*r**6 + 0 - 1/5*r**5 + 13*r + 0*r**3 + 1/3*r**4 + 0*r**2 + 2/21*r**h. Factor v(o).
4*o**2*(o - 1)**2*(o + 1)
Let c = -61 + 64. Solve -z - 21*z**2 - 15*z**4 - 27*z**c - 5*z - 3*z**5 + 14 - 14 = 0.
-2, -1, 0
Let m = 206268/39665 + -2/7933. Find s such that m*s**2 + 14/5*s**4 - 6*s**3 - 2/5*s**5 + 0 - 8/5*s = 0.
0, 1, 4
Find q such that -35/2*q - 35/6*q**2 + 45/2 + 5/6*q**3 = 0.
-3, 1, 9
Let m be -11 + (14/9)/(166/1494). Factor 16/5*o**2 + 0*o + 0 + 4/5*o**m.
4*o**2*(o + 4)/5
Let c(y) be the first derivative of -1/6*y**4 + 0*y + 8/9*y**3 - 33 + 0*y**2. Suppose c(d) = 0. Calculate d.
0, 4
Let n(h) be the third derivative of 0*h + 9/2*h**3 - 15/8*h**4 - 10*h**2 - 1/40*h**6 + 7/20*h**5 + 0. Let n(w) = 0. What is w?
1, 3
Solve r + 2/3 + 1/3*r**2 = 0 for r.
-2, -1
Let b(t) be the first derivative of 3*t**6/40 + t**5/20 - t**4/3 - 2*t**3/3 + t**2/2 - 5. Let l(s) be the second derivative of b(s). Factor l(j).
(j - 1)*(3*j + 2)**2
Find d such that 13 + 5*d - 2*d**2 - 2*d**3 + 2*d**3 + d**5 - d**4 - 10 - 6*d**3 = 0.
-1, 1, 3
Let x(m) = 5*m - 15. Let w be x(5). Suppose 0 = f - 2*b - w, -3*f + 12 = -3*b - 6. Factor 0*r**2 + 0*r**f - r**2 + 9 - 5.
-(r - 2)*(r + 2)
Suppose 10 = -33*m + 38*m. Let h(g) be the first derivative of 0*g**m + 0*g - 2/39*g**3 + 3. What is d in h(d) = 0?
0
Let z = -42/73 + 944/1387. Factor 4/19*i + z*i**4 + 0 + 8/19*i**3 + 10/19*i**2.
2*i*(i + 1)**2*(i + 2)/19
Let t(f) = -f**3 - 6*f**2 - 10*f - 1. Let h be t(-2). Solve -33/2*o**4 + 15*o**2 + 15/2*o**5 - 21/2*o + 3*o**h + 3/2 = 0 for o.
-1, 1/5, 1
Solve -2/5 - 4/5*l - 6/5*l**4 + 4/5*l**3 + 8/5*l**2 = 0 for l.
-1, -1/3, 1
Let k(y) be the second derivative of -y**6/360 - 7*y**5/120 + 8*y**3/3 + 7*y. Let v(n) be the second derivative of k(n). Factor v(i).
-i*(i + 7)
Let h(c) = c**2 - 5*c - 11. Let q be h(7). Factor -32*x**2 + 128*x**3 - 6*x - 8*x + 3*x + 2 + q*x.
2*(4*x - 1)**2*(4*x + 1)
Let d(z) be the second derivative of 5*z**4/12 + 235*z**3/6 + 191*z. Suppose d(y) = 0. Calculate y.
-47, 0
Let y(p) be the third derivative of -p**8/21 + 2404*p**7/105 - 482401*p**6/120 + 812015*p**5/3 - 1003750*p**4/3 + 500000*p**3/3 + p**2 - 530. Factor y(d).
-(d - 100)**3*(4*d - 1)**2
Suppose 5*a = 20, -3*w + 2*a = 8 - 6. Let -2/3*s**w - 2/3 - 4/3*s = 0. Calculate s.
-1
Let p(c) = 4*c**4 + 6*c**3 + c**2 + 4*c. Suppose 2*r - 48 = -18. Let x(k) = k**4 + k**3 + k. Let t(d) = r*x(d) - 3*p(d). Suppose t(h) = 0. Calculate h.
-1, 0, 1
Let n(w) be the second derivative of -5/18*w**3 - 2/3*w**2 - 1/72*w**4 + 20*w + 0 + 1/120*w**5. Find b, given that n(b) = 0.
-2, -1, 4
Let c(h) = 56*h**2 - 328*h - 392. Let r(v) = -v**3 - 225*v**2 + 1308*v + 1568. Let g(y) = 18*c(y) + 4*r(y). Factor g(n).
-4*(n - 14)**2*(n + 1)
Let m = -97 - -101. Factor -2*w**4 - m + 6*w**2 + 21*w**3 - 34*w**3 - 2*w + 15*w**3.
-2*(w - 2)*(w - 1)*(w + 1)**2
Let a = 31 - 25. Let t be 16/20*3/a. Find h, given that 2/5 - 4/5*h - t*h**4 + 0*h**2 + 4/5*h**3 = 0.
-1, 1
Factor 1/4*q**3 - 17/2*q - 9/4*q**2 - 6.
(q - 12)*(q + 1)*(q + 2)/4
Let q(z) be the second derivative of z**5/20 + 19*z**4/12 + 56*z**3/3 + 96*z**2 - 332*z. Factor q(a).
(a + 3)*(a + 8)**2
Let h(d) be the first derivative of d**5/10 - d**4/4 - d**3/6 + d**2/2 + 28. Let h(w) = 0. What is w?
-1, 0, 1, 2
Let u(s) = -s**2 + s - 1. Let t(g) = -4*g**2 - 38*g - 40. Let x(p) = -2*t(p) + 4*u(p). Let x(h) = 0. What is h?
-19, -1
Let t(n) be the second derivative of -2*n + 1/30*n**5 + 1/9*n**4 + 4 + 1/9*n**3 + 0*n**2. Factor t(l).
2*l*(l + 1)**2/3
Let j(m) be the third derivative of 3*m**2 + 62/15*m**5 + 12/5*m**6 + 0 + 0*m**7 + 4/3*m**3 + 0*m + 19/6*m**4 - 9/28*m**8. Let j(y) = 0. What is y?
-1, -1/3, 2
Let w(o) be the first derivative of -1/2*o**3 + 12*o**2 + 29 - 96*o. Solve w(d) = 0.
8
Factor -5/2*f**3 - 10*f**2 + 0*f + 0.
-5*f**2*(f + 4)/2
Factor -27*z + 0 + 3/2*z**3 - 9/2*z**2.
3*z*(z - 6)*(z + 3)/2
Factor -4*j**3 + 1494 + 336 + 164*j**2 - 230 - 1760*j.
-4*(j - 20)**2*(j - 1)
Suppose 3*f + g = -g + 4, -2*f - 8 = 4*g. Let j be f*1*9/12. Factor 4*y**3 - 4*y - 3*y**3 + j*y**3 + y**4 - 4 + 3*y**2 + 0.
(y - 1)*(y + 1)*(y + 2)**2
Let m be (-13 + 1 - -12)/21. Suppose -2/5*c**3 + 0 + m*c + 2/5*c**2 = 0. What is c?
0, 1
Let n(d) be the third derivative of d**5/180 + 133*d**4/36 + 17689*d**3/18 - 667*d**2. Factor n(x).
(x + 133)**2/3
Let b(o) = -o**2 + 10*o - 19. Let t be b(7). Let a be (8/48)/(t/6)*0. Factor a*s + 0*s**3 + 2/3*s**2 - 1/3 - 1/3*s**4.
-(s - 1)**2*(s + 1)**2/3
Let k(y) = y**5 + 2*y**4 + y**3 - 2*y**2 - 2. Let c(r) = 2*r**5 - r**4 - r**3 + 4*r**2 + r - 5. Let h(m) = c(m) - k(m). Factor h(f).
(f - 3)*(f - 1)**2*(f + 1)**2
Let w(m) = m**4 - 8*m**3 + 3*m**2 - 6*m. Let l(y) = -3*y**4 + 20*y**3 - 7*y**2 + 14*y. Let a(p) = -3*l(p) - 7*w(p). Determine g so that a(g) = 0.
0, 2
Let c(q) = 5*q**2 - 288*q + 12165. Let n(h) = -9*h**2 + 584*h - 24331. Let z(g) = -10*c(g) - 6*n(g). Factor z(o).
4*(o - 78)**2
Let 2/7*w**5 - 8/7*w**4 + 46/7*w + 20/7 + 20/7*w**2 - 16/7*w**3 = 0. Calculate w.
-1, 2, 5
Let o(t) be the first derivative of 6*t - 24 + 5/2*t**2 + 1/3*t**3. Factor o(h).
(h + 2)*(h + 3)
Suppose -19*w + 453 = -1998. Let d = w + -126. Solve 0 + 2/5*v - v**d - 3/5*v**2 = 0 for v.
-1, 0, 2/5
Let r = -1328 - -1328. Let m(k) be the third derivative of 0*k**6 + 0*k**4 + 1/90*k**5 - 1/315*k**7 + 0*k**3 + 11*k**2 + r + 0*k. Solve m(u) = 0 for u.
-1, 0, 1
Suppose 5*l + 3*g = -17, -4*g = -4*l - 5*g - 15. Let y be ((-21)/(-28))/((-3)/32*l). Find w such that -3/5*w + 3/5*w**y + 0 = 0.
0, 1
Let y be (-87)/(-207) - ((-2)/30 + 28/70). Solve -4/23*s + 0 + 2/23*s**2 + y*s**3 = 0.
-2, 0, 1
Let -13 + 14*x + x**2 - 33*x - 13 - 6*x = 0. Calculate x.
-1, 26
Suppose -4*k + 40 = -9*k. Let z be 30/7 + k/28. Suppose -15*i**3 - 2*i**4 - 10*i + 17*i**3 + 6*i**2 + 0*i + z = 0. What is i?
-2, 1
Factor 23/4 - 1/4*a**3 - 23/4*a**2 + 1/4*a.
-(a - 1)*(a + 1)*(a + 23)/4
Suppose 19*r - 539 = -58*r. Suppose -5*i - n + 12 = -i, -2*i + 6 = 4*n. Factor 4*b**4 + b**2 + b**2 - 3*b**2 - b**5 - 3*b**i - r*b**4.
-b**2*(b + 1)**3
Let l = -437659/505 - 217/101. Let i = l - -876. Find z, given that -28/5*z**2 + 4/5*z**5 + i*z**3 - 4*z**4 + 8/5*z + 0 = 0.
0, 1, 2
Suppose -8*q - 26*q**3 - 8/9 - 8*q**4 - 214/9*q**2 = 0. What is q?
-2, -2/3, -1/3, -1/4
Let x(g) = 2*g**3 - 104*g**2 + 70*g + 38. Let m(f) = 2*f**3 - 208*f**2 + 140*f + 77. Let o(u) = 6*m(u) - 11*x(u). Factor o(s).
-2*(s - 1)*(s + 11)*(5*s + 2)
Let m(s) be the first derivative of 4*s**5/35 - 16*s**3/21 - 78. Find i, given that m(i) = 0.
-2, 0, 2
Let n(g) = -g**2 - 35*g + 4. Let a be n(-35). Let u(p) be the second derivative of 5/4*p**a + 2*p + 0 - p**3 + 0*p**2. Let u(h) = 0. Calculate h.
0, 2/5
Let s = -9/86 + 221/1290. Let k(p) be the third derivative of s*p**3 + 0*p + 1/150*p**5 - 1/30*p**4 + 0 + 7*p**2. Factor k(r).
2*(r - 1)**2/5
Let c(v) be the first derivative of -15*v**4/16 + 11*v**3/4 - 3*v**2/4 + 59. Determine u, given that c(u) = 0.
0, 1/5, 2
Let s be 0/(-1)*(-197)/591. Determine l, given that s + 96/7*l**2 + 2/7*l**4 - 26/7*l**3 - 72/7*l = 0.
0, 1, 6
Let 0 + 2/5*l**3 + 0*l + 24/5*l**2 = 0. Calculate l.
-12, 0
Let w = -152/15 - -34/3. Let s = -90 - -93. Determine z, given that 8/5*z**s - w*z**2 - 2/5*z**4 + 8/5 - 8/5*z = 0.
-1, 1, 2
Let z(i) = i**2 + 2*i + 5. Let o be z(-7). Suppose 3*d + 2*d = o. Solve 4 + 4*m**2 + m**2 - m**2 + d*m = 0.
-1
Let m(j) be the third derivative of 0*j + 7/30*j**6 + 0 + 13/6*j**4 + j**5 + 8/3*j**3 + 2/105*j**7 + 24*j**2. Suppose m(o) = 0. Calculate o.
-4, -1
Let d(v) be the third derivative of 0*v**3 + 0*v + 1/270*v**5 + 5/108*v**4 + 0 + 38*v**2. Factor d(y).
2*y*(y + 5)/9
Let w(m) be the third derivative of -1/24*m**3 + 1/1680*m**7 + 0 - 1/160*m**5 + 0*m + 2*m**2 + 5/192*m**4 - 1/960*m**6. Factor w(q).
(q - 1)**3*(q + 2)/8
Let f = -9 + 9. Let d be -2 - (f - -1 - 9). Solve 2*z**2 + z**2 + 0