2 + 5*q + 0 + 8*q**2 + 3*q - 7. Let t(p) = 4*o(p) + 28*y(p). What is s in t(s) = 0?
-2, 1
Let o(u) = -u**2 - 19*u + 42. Let w be o(2). Let g(c) be the second derivative of w*c**2 + 0 + 4*c - 1/20*c**5 - 1/3*c**3 + 1/4*c**4. Solve g(s) = 0 for s.
0, 1, 2
Let g be (162/2916)/(2/12). Factor 0 + g*r - 1/6*r**3 - 1/6*r**2.
-r*(r - 1)*(r + 2)/6
Factor 16*f**2 - 12 + 2*f + 15*f**2 - 29*f**2.
2*(f - 2)*(f + 3)
Let y be -79*(0 - (-4)/(-4)). Solve 4*x**2 + 16 + 16*x**2 + 45*x - y*x - 2*x**3 = 0.
1, 8
What is r in 10*r + 16*r**3 + 36*r**2 - 13*r**3 + 98*r = 0?
-6, 0
Let n(o) be the third derivative of -o**7/168 - o**6/12 - 5*o**5/16 + 5*o**4/12 + 10*o**3/3 - 725*o**2. Suppose n(j) = 0. Calculate j.
-4, -1, 1
Let v(z) be the third derivative of -1/30*z**6 + 0*z**3 + 1/105*z**7 + 0*z - 1/30*z**5 + 1/6*z**4 + 0 + 31*z**2. Factor v(q).
2*q*(q - 2)*(q - 1)*(q + 1)
Let n(m) be the second derivative of 1/231*m**7 - 4/165*m**6 + 1/22*m**5 - 7*m + 0*m**2 - 1/33*m**4 + 0*m**3 + 0. Solve n(b) = 0.
0, 1, 2
Let w(j) be the second derivative of -j**6/75 - 4*j**5/25 - 3*j**4/5 + 27*j**2/5 + 43*j. Suppose w(f) = 0. Calculate f.
-3, 1
Let c(w) be the first derivative of w**3 - 1/90*w**6 + 0*w**2 + 1/15*w**5 + 2 + 0*w + 1/2*w**4. Let b(d) be the third derivative of c(d). Factor b(l).
-4*(l - 3)*(l + 1)
Suppose 84 = 26*q + 16*q. Let m(o) be the first derivative of o**5 + 1/5*o - 8 + q*o**4 + 1/5*o**6 + 2*o**3 + o**2. Factor m(w).
(w + 1)**4*(6*w + 1)/5
Let a(q) = -q**2 - 18*q - 36. Let s be a(-15). Find j, given that -s*j**2 + 7*j**3 + 24*j - 6*j**3 - 13 - 2 - 1 = 0.
1, 4
Let k(i) = i**3 + 15*i**2 + 172*i - 8. Let q(z) = -z**3 - 5*z**2 - 57*z + 3. Let d(j) = 3*k(j) + 8*q(j). Solve d(o) = 0.
-3, 0, 4
Let h be 13 - 11 - (31/(-7) - -3)/(-1). Suppose 10/7*t + 8/7*t**2 + h + 2/7*t**3 = 0. Calculate t.
-2, -1
Let v(d) = -7*d**2 - 7*d + 3. Let k(a) = -29*a**2 - 29*a + 11. Let z(y) = 6*k(y) - 26*v(y). Let s(n) = n**2 + n - 1. Let g(x) = -4*s(x) + z(x). Factor g(o).
4*(o - 1)*(o + 2)
Suppose l - 4*l - 3*i + 402 = 0, 5*i = 4*l - 518. Let f = -392/3 + l. Factor -4/3*x**2 - 1/3*x**5 + 0 - f*x**4 - 2*x**3 - 1/3*x.
-x*(x + 1)**4/3
Let f(o) be the first derivative of -o**4/20 + 22*o**3/5 - 726*o**2/5 + 10648*o/5 - 227. Solve f(v) = 0 for v.
22
Factor -2/3*z**4 - 16/3*z**2 - 8/3*z + 0 - 10/3*z**3.
-2*z*(z + 1)*(z + 2)**2/3
Let y = -110/21 - -206/21. Suppose -y*a**2 - 32/7*a - 6/7 = 0. Calculate a.
-3/4, -1/4
Let h(v) be the first derivative of -10*v**3 + 5*v**2/2 + 95*v + 2. Let u = -104 + 98. Let c(w) = 5*w**2 - w - 16. Let t(q) = u*h(q) - 35*c(q). Solve t(b) = 0.
-2, 1
Let q be (-26 - -23)*3/(-234). Let h(d) be the first derivative of 0*d**3 + 0*d**2 - q*d**4 + 9 + 0*d. Solve h(g) = 0.
0
Let k(v) = 174*v - 345. Let s be k(2). Factor 1/3*g**4 + 0 + 2/3*g**2 + g**s + 0*g.
g**2*(g + 1)*(g + 2)/3
Let d = 30 - 27. Let 6*x**2 - 6*x**4 + 0 - 3/2*x**d + 3/2*x = 0. What is x?
-1, -1/4, 0, 1
Let l(p) be the second derivative of -p**8/3360 - p**3/6 - 13*p. Let i(q) be the second derivative of l(q). Solve i(z) = 0 for z.
0
Let r(b) = 4*b**3 - b**2 + 1. Let v be r(1). Factor -14*d**5 + 2*d - d**2 + 2*d**4 + 28*d**5 - v*d**3 - 3*d**2 + 2 - 12*d**5.
2*(d - 1)**2*(d + 1)**3
Factor -4/5*s**3 - 18/5 + 36/5*s - 16/5*s**2 + 2/5*s**4.
2*(s - 3)*(s - 1)**2*(s + 3)/5
Let q(v) be the second derivative of v**5/16 - 5*v**4/16 - 5*v**3/4 + 5*v**2 - 4*v + 2. Factor q(a).
5*(a - 4)*(a - 1)*(a + 2)/4
Let s be 46/(-69)*1/(-2). Let j(q) be the first derivative of -1/16*q**4 - 6 + 0*q - 3/8*q**2 - s*q**3. Solve j(a) = 0 for a.
-3, -1, 0
Suppose 571*x = 822 + 1462. What is b in -270/17*b**5 - 40/17*b**2 + 378/17*b**x + 0 + 16/17*b - 108/17*b**3 = 0?
-1/3, 0, 2/5, 2/3
Let h(x) be the first derivative of x**3/21 + 146*x**2/7 + 21316*x/7 + 275. Let h(w) = 0. What is w?
-146
Let b be (715/(-858))/((-5)/12). Factor 4/5*z**b - 4/5 - 6/5*z.
2*(z - 2)*(2*z + 1)/5
Let u(b) be the third derivative of 0*b**4 + 1/75*b**5 + 0*b - 1/15*b**3 + 40*b**2 - 1/525*b**7 + 0 + 0*b**6. Factor u(s).
-2*(s - 1)**2*(s + 1)**2/5
Let i(s) be the second derivative of s**6/90 + s**5/15 - s**4/2 - 7*s**3/3 + 28*s. Let n(t) be the second derivative of i(t). Find q such that n(q) = 0.
-3, 1
Let p(m) be the third derivative of 8*m**7/735 - 31*m**6/210 + 26*m**5/35 - 3*m**4/2 - 32*m**2 + 2. Factor p(s).
4*s*(s - 3)**2*(4*s - 7)/7
Factor -15 - 13 + 5*z**2 + 79*z + 28 - 4*z.
5*z*(z + 15)
Find b such that 10 + 1/3*b**2 + 11/3*b = 0.
-6, -5
Let q(j) = -3*j + 5*j - 3*j - 2. Let p be q(-4). Factor -202*g**p - 4*g**5 - 4*g**3 + 202*g**2 + 8*g**4.
-4*g**3*(g - 1)**2
Let v(d) be the second derivative of -5*d**7/42 - 5*d**6/6 - 9*d**5/4 - 35*d**4/12 - 5*d**3/3 - 19*d + 3. Factor v(n).
-5*n*(n + 1)**3*(n + 2)
Let h = 76 + -63. Find z, given that -h*z**4 + 120 + 54*z**2 + 8*z**4 - 96*z - 60*z + 2*z**4 + 3*z**3 = 0.
-5, 2
Let p(h) be the second derivative of -h**6/300 + h**4/120 + 36*h. Suppose p(i) = 0. Calculate i.
-1, 0, 1
Suppose 4*i = 2*g - 0*i, -3*g - 2*i = 0. Let k(n) be the third derivative of 4*n**2 + 1/180*n**5 + 1/36*n**4 + 0*n + g + 1/18*n**3. Solve k(t) = 0.
-1
Let a = 3943 + -3943. Factor a - 1/4*p**2 + 0*p.
-p**2/4
Let n = -48 + 53. Suppose 2*s + 6*l - 7*l = -1, -5*l + n = -s. Factor s + 0*z + 2/3*z**2 - 2/3*z**3.
-2*z**2*(z - 1)/3
Factor 11 + 6*r + r**2 + 7*r - 3*r + 14.
(r + 5)**2
Let v(q) be the first derivative of -q**6/27 + 58*q**5/45 + 5*q**4/3 + 238. Factor v(o).
-2*o**3*(o - 30)*(o + 1)/9
Let l(s) = 15*s**2 + 9*s - 51. Let v(f) = f**3 + 16*f**2 + 9*f - 50. Let h(i) = 4*l(i) - 3*v(i). Solve h(y) = 0.
-2, 3
Let w = -1306 + 2613/2. Let l + w*l**2 + 0 = 0. What is l?
-2, 0
Let f(r) be the second derivative of 5/6*r**3 + 15/4*r**5 + 0*r**2 - 17*r + 0 + 3/2*r**6 + 35/12*r**4. Determine m so that f(m) = 0.
-1, -1/3, 0
Let f(v) be the first derivative of 21 - 1/3*v - 4/3*v**2 - 16/9*v**3. Factor f(p).
-(4*p + 1)**2/3
Suppose 0*d = 2*d - 34. Suppose 8*i - 3*i + 3*k - 47 = 0, -3*i + d = -k. Factor -2*f**2 - 6*f + i*f**2 - 3*f**2 + 4.
2*(f - 2)*(f - 1)
Let h be 36/12*402/(-99). Let q = h - -138/11. Factor 0*y**2 - q*y**4 + 0*y + 0 + 2/11*y**5 + 2/11*y**3.
2*y**3*(y - 1)**2/11
Let b be ((2 - 2) + 2)*2. Suppose b*x = z - 32, 0 = -0*z - 3*z - 2*x + 26. What is q in 6*q**2 - 4*q**2 - 13*q + 5*q + 2*q**2 - z = 0?
-1, 3
Factor 32/5 + 2/5*n**3 + 48/5*n + 18/5*n**2.
2*(n + 1)*(n + 4)**2/5
Factor 28 + 4/7*n**2 - 8*n.
4*(n - 7)**2/7
Let n = 70 + -63. Determine j, given that -9*j + 13*j + 3*j**2 - n*j = 0.
0, 1
Let w = 6343 + -6341. Suppose 0*t**4 + 0 - 1/3*t**5 + 5/3*t**3 - 4/3*t + 0*t**w = 0. What is t?
-2, -1, 0, 1, 2
Let p(m) be the third derivative of 2*m**7/315 + m**6/30 - m**5/15 - 7*m**4/18 + 4*m**3/3 - 41*m**2. Suppose p(y) = 0. Calculate y.
-3, -2, 1
Let z(h) be the third derivative of 0 - 5*h**2 + 0*h - 1/105*h**7 - 1/4*h**4 + 2/3*h**3 - 1/30*h**5 + 1/20*h**6. Let z(s) = 0. What is s?
-1, 1, 2
Let r(x) = 2*x**2 - 2*x + 2. Suppose 20 = -d - 3*d. Let y(l) = -4*l**2 + 4*l - 5. Let i(k) = d*r(k) - 2*y(k). Factor i(h).
-2*h*(h - 1)
Let v(r) = -r**2 - 8*r + 1. Let t be v(-7). Suppose 0 = m - 3*m + t. Suppose -4*l**3 - 5*l**2 - 2*l**m - 3*l**2 + 12*l**3 = 0. What is l?
0, 2
Let s = 267923 - 89754061/335. Let h = s + -2/67. What is k in h*k**2 + 8/5 + 8/5*k = 0?
-2
Let d(b) be the first derivative of 4*b**3/21 - 96*b**2/7 + 2304*b/7 - 372. What is i in d(i) = 0?
24
Let y = 32 + -30. Let f be (-34)/(-119) - y/7. Factor 2/7*i**2 - 2/7 + f*i.
2*(i - 1)*(i + 1)/7
Let r(t) = 30*t - 4. Let p(w) = -6*w + 1. Let q(b) = 14*p(b) + 3*r(b). Let x(o) = o**2 - 1. Let c(z) = q(z) + 2*x(z). Factor c(h).
2*h*(h + 3)
Suppose 80/11*r + 32/11 + 6*r**2 + 20/11*r**3 + 2/11*r**4 = 0. Calculate r.
-4, -1
Let h(f) be the third derivative of -13*f**2 - 1/60*f**6 + 0 + 0*f**3 + 1/12*f**4 + 0*f - 4/105*f**7 + 2/15*f**5. Factor h(a).
-2*a*(a - 1)*(a + 1)*(4*a + 1)
Determine k, given that -1/7*k**4 + 13/7*k**2 + 0*k + 12/7*k**3 + 0 = 0.
-1, 0, 13
Let p = 17 - 14. Suppose -p = -k + 1. Factor -4*m - 4*m**3 + 3*m**2 - k + 0*m**3 - m**4 + 6*m**3.
-(m - 2)**2*(m + 1)**2
Factor 1/2*l**3 + 0 - 3/2*l + l**2.
l*(l - 1)*(l + 3)/2
Let n(w) = w**4 - w**2. Let g(j) = -2*j**4 + 4*j**3 - 3*j**2 - 4*j + 5. Let r(x) = -g(x) - 3*n(x). Factor r(c).
-(c - 1)**2*(c + 1)*(c + 5)
Let a be 1 + -7 + 14 + -5. Let