 12.
3*(q - 2)*(q - 1)*(q + 2)
Let k be 6/20 - (-2)/4. Let d be 24 + (3744/(-90) - -18). What is q in -d + k*q - 2/5*q**2 = 0?
1
Let h = 323 + -138. Let q = -180 + h. What is i in 3/8*i**4 - 1/4*i**3 + 0 + 0*i - 1/8*i**q + 0*i**2 = 0?
0, 1, 2
Let s be (-5)/(1 + 0)*(-57 - -56). Suppose -s*q = q + 6*q. Solve 3/4*t**5 - 3/2*t**4 + q - 3/4*t + 3/2*t**2 + 0*t**3 = 0.
-1, 0, 1
Let t = -2487 + 2490. What is g in -1/10*g**4 + 1/10*g**2 - 1/2*g**t + 0 + 1/2*g**5 + 0*g = 0?
-1, 0, 1/5, 1
Let -42*q**2 + 780 + 58*q**2 + 784*q - 12*q**2 = 0. What is q?
-195, -1
Let i(d) be the second derivative of 0 - 25*d + 3/10*d**2 - 1/6*d**3 + 1/100*d**5 + 1/60*d**4. Solve i(z) = 0 for z.
-3, 1
Suppose f - 7*f + 1572 = 0. Let h = f - 259. Factor 6/11 + 10/11*g - 2/11*g**h + 2/11*g**2.
-2*(g - 3)*(g + 1)**2/11
Let i = -44 - -47. Suppose 0 = -4*p + 4*k + 4, i*k = -2 - 1. Factor 0*c**4 + 4/3*c**3 + p*c**2 + 0 - 2/3*c**5 - 2/3*c.
-2*c*(c - 1)**2*(c + 1)**2/3
Let b be ((-65)/(-35) + -1)*(2 + 5). Suppose b*a - 4 = 4*a. Find o such that 2/7*o**a - 2/7*o**4 - 1/7*o**3 + 1/7*o**5 + 0*o + 0 = 0.
-1, 0, 1, 2
Let q = 1/623103 + 1922561/2907814. Let b = q - -1/182. Let b*h**3 - 2/3 + 1/2*h**2 - 2/3*h + 1/6*h**4 = 0. What is h?
-2, -1, 1
Let t be (-505)/(-75) - 7 - 2/(-6). Let s(r) be the third derivative of -2*r**2 + 0*r + 8/75*r**5 - t*r**4 + 0 + 0*r**3 - 7/300*r**6. Factor s(c).
-2*c*(c - 2)*(7*c - 2)/5
Suppose 0 = 5*i - 0*f + 5*f - 70, 4*i + 5*f = 58. Let z(x) = x**2 - 12*x + 2. Let g be z(i). Factor -3*j**2 + j - j**2 + 3*j + 6*j**g + 2.
2*(j + 1)**2
Let z be (((-32)/12)/8)/((-1)/(-21)). Let d be (((-63)/(-6))/z)/(-3). Let 1 + 3/2*h - d*h**3 + 0*h**2 = 0. Calculate h.
-1, 2
Let b(a) be the first derivative of -18*a**5/55 - 435*a**4/11 - 42626*a**3/33 - 13920*a**2/11 - 4608*a/11 - 678. Determine l so that b(l) = 0.
-48, -1/3
Suppose 12*u - 13*u - 14 = 0. Let m = u - -16. Let -11*p**m + p**5 + 15*p**2 - p**3 - p**4 - 3*p**2 = 0. What is p?
-1, 0, 1
Solve -74/7*t**2 - 2/7*t**5 + 160/7 - 86/7*t**4 + 244/7*t - 242/7*t**3 = 0 for t.
-40, -2, -1, 1
Let l = 52 - 36. Determine t, given that -l*t**2 - 6*t + 13*t - 11*t - 23*t**3 - 14*t**4 - 3*t**5 = 0.
-2, -1, -2/3, 0
Let g(y) be the first derivative of 28/25*y**5 + 22 + 0*y + 48/5*y**3 - 16/5*y**2 - 6*y**4. Let g(d) = 0. Calculate d.
0, 2/7, 2
Let x(t) = -915*t + 3660. Let m be x(4). Solve 4/19*w**3 + 2/19*w**4 - 4/19*w + m - 2/19*w**2 = 0 for w.
-2, -1, 0, 1
Let c be (-10422)/396 + 26 - (3/(-2) + 1). Let a = 5420/11 - 492. Determine k so that c*k**2 - a - 6/11*k = 0.
-1, 4
Suppose 5/2*z**2 - 35/2*z + 15 = 0. Calculate z.
1, 6
Suppose -5*o - 15 - 2 = -4*x, x = o + 4. Suppose 3*j - 9*j**2 - 3*j**2 + x*j**3 + 6*j**2 = 0. Calculate j.
0, 1
Let z be (291/(-12))/(2 + 7/(-4)). Let b = z + 99. Factor 1/4*j**b + 0 + 1/4*j.
j*(j + 1)/4
Let q(f) = f + 2. Let u be q(0). Let s be u/6*(-1 + 7). Factor 158*b - 8*b**4 - 158*b + 4*b**s - 4*b**3.
-4*b**2*(b + 1)*(2*b - 1)
Let d(n) = 11*n**2 - 10*n + 6. Let y(x) = -14 - 46*x - 23 - 18 + 136*x - 100*x**2. Let m(g) = -55*d(g) - 6*y(g). Find l, given that m(l) = 0.
0, 2
Let b(n) be the first derivative of n**7/630 - n**6/360 + n**2 + 6. Let l(x) be the second derivative of b(x). Determine z, given that l(z) = 0.
0, 1
Solve 2*j**3 + 0 + 8/5*j + 17/5*j**2 + 1/5*j**4 = 0.
-8, -1, 0
Let s(t) be the first derivative of -2/15*t**3 + 0*t**2 + 3/20*t**4 + 0*t - 1/25*t**5 - 32. Suppose s(n) = 0. What is n?
0, 1, 2
Let 10/7*h + 2/7*h**4 - 2/7*h**3 - 6/7*h**2 - 4/7 = 0. What is h?
-2, 1
Determine y, given that -32 - 34/9*y**4 + 224/3*y + 2/9*y**5 - 560/9*y**2 + 208/9*y**3 = 0.
1, 2, 6
Let c be (-4)/8*(-161)/42. Let o(q) be the first derivative of 4/5*q**5 + c*q**4 + 13/9*q**3 + 0*q + 1/3*q**2 + 2. Solve o(p) = 0 for p.
-1, -2/3, -1/4, 0
Suppose 5*b + i - 3 = 19, -i = -4*b + 23. Let r(z) be the first derivative of 0*z**3 + 0*z + 1/15*z**6 - 1/10*z**4 + 0*z**2 + 0*z**b + 6. Factor r(f).
2*f**3*(f - 1)*(f + 1)/5
Let b(u) be the second derivative of 45 - 1/2*u**4 + 1/20*u**6 - u + 2/3*u**3 + 0*u**2 - 1/20*u**5. Factor b(i).
i*(i - 2)*(i + 2)*(3*i - 2)/2
Let v(i) = 4*i**3 + 20*i**2 + 20*i + 4. Let c(k) = -4*k**3 - 20*k**2 - 21*k - 5. Let q(d) = -4*c(d) - 5*v(d). Factor q(y).
-4*y*(y + 1)*(y + 4)
Suppose b + o = 15, 0*b + 4*o = 5*b - 48. Suppose b = -2*y + 6*y. Determine c so that -13/4*c**y + 0*c + 5*c**4 + 0 + 1/2*c**2 = 0.
0, 1/4, 2/5
Let v(x) be the first derivative of -2*x**3/3 + 5*x**2 - 12*x - 612. Factor v(r).
-2*(r - 3)*(r - 2)
Factor -2/11*q**3 - 64/11*q - 40/11 - 26/11*q**2.
-2*(q + 1)*(q + 2)*(q + 10)/11
Let p be (-1)/(-2) - 205/(-10). Suppose -5*z + p = -u, 6*z = 3*u + 4*z - 2. Suppose -8*o**2 + 11*o**2 - o**3 - 3 - o**u + 1 + o = 0. What is o?
-2, -1, 1
Suppose 0 = 97*w + 1195 - 1389. Factor 16/3 - 20/3*y - 14/3*y**w.
-2*(y + 2)*(7*y - 4)/3
Let g(q) be the first derivative of -q**6/12 + 4*q**5/5 - 11*q**4/4 + 4*q**3 - 9*q**2/4 - 40. Suppose g(l) = 0. What is l?
0, 1, 3
Determine m so that -75/2*m + 3/4*m**2 + 147/4 = 0.
1, 49
Suppose -27*t + 23*t = 2*j + 16, 5*j - 5*t = 35. Let k = 8 - 6. What is a in 383 + a**2 + j*a - 371 - 3*a**k = 0?
-2, 3
Let a(n) = -n**2 - n - 1. Let l(c) = 7*c**2 - 28*c + 14. Let t(y) = -12*a(y) - 3*l(y). Let o(b) = -10*b**2 + 96*b - 31. Let u(i) = 6*o(i) - 5*t(i). Factor u(z).
-3*(z - 6)*(5*z - 2)
Let g(o) be the first derivative of o**5/40 - 3*o**4/16 + o**3/2 - 5*o**2/8 + 3*o/8 + 58. Factor g(r).
(r - 3)*(r - 1)**3/8
Let x = 10 - 12. Let u(n) = -n**3 - n - 1. Let v(m) = m**3 - 6*m**2 - 5*m + 4. Let o(h) = x*u(h) + v(h). Let o(k) = 0. Calculate k.
-1, 1, 2
Let b(y) be the second derivative of 0*y**3 - 1/5*y**5 - 3*y + 0*y**2 + 0 + 0*y**4. Let b(p) = 0. Calculate p.
0
Let w(t) = -t**2 - t**2 + 3*t + 4*t - 9 - t. Let k(i) = 3*i**2 - 12*i + 18. Let z = -12 + 7. Let j(p) = z*k(p) - 9*w(p). What is x in j(x) = 0?
-3, 1
Let p be (6/(-6) + 2)*(0 + 0). Let u(q) be the third derivative of -2/3*q**4 - 8/3*q**3 + p + 0*q + q**2 - 1/15*q**5. Factor u(v).
-4*(v + 2)**2
Let f(c) = 5*c**2 - 8 - 326*c - 2 + 331*c. Let t(x) = x - 1. Let u(l) = f(l) - 5*t(l). Find o, given that u(o) = 0.
-1, 1
Let v be (-1893)/(2 + 7*(-1)/2). Factor 3*r - 2*r**3 + r**4 - 3*r - 1265*r**2 + v*r**2.
r**2*(r - 3)*(r + 1)
Let r be 84/126 + (-16)/(-3). Let x(w) be the first derivative of 4 + r*w + w**3 - 9/2*w**2. Factor x(i).
3*(i - 2)*(i - 1)
Let k(z) be the first derivative of 3/8*z**4 - 3/4*z**2 - 19 - z**3 + 3*z. Solve k(l) = 0.
-1, 1, 2
Let s be ((-3)/9)/((-330)/1620). Factor -s*c**3 - 2/11*c + 14/11*c**4 + 10/11*c**2 - 4/11*c**5 + 0.
-2*c*(c - 1)**3*(2*c - 1)/11
Let q(y) be the third derivative of y**6/24 - 5*y**5/12 + 5*y**4/3 - 10*y**3/3 - 101*y**2. Factor q(i).
5*(i - 2)**2*(i - 1)
Suppose 5*t - 4 = 4*l, -4*l = -4*t + 9*t - 36. Let r(u) be the second derivative of -1/6*u**t + 0 + 2*u - 2/3*u**3 + 3/10*u**5 + 0*u**2. Factor r(w).
2*w*(w - 1)*(3*w + 2)
Let b(k) = -3*k**2 + 9*k + 8. Let g be b(-3). Let n be g/(-207) - 2/9. Let -1/5*r + 0*r**2 + n + 1/5*r**3 = 0. Calculate r.
-1, 0, 1
Let j = 6 - 4. Factor 9*z + z**j + 2*z**2 + 1 - 13.
3*(z - 1)*(z + 4)
Factor -14*m**2 + 84*m - 588 + 7*m**2 + 4*m**2.
-3*(m - 14)**2
Let x be (2/(12/(-2)))/(1/(-60)). Suppose 0 = -2*t - 5*d - 20, -4*t - 5*d - x = -0*d. Factor t + 8/3*u**2 + 8/3*u**4 - 2/3*u**5 - 2/3*u - 4*u**3.
-2*u*(u - 1)**4/3
Let c = 4167/11429 + -1/1039. Let -c - 6/11*t - 2/11*t**2 = 0. Calculate t.
-2, -1
Let n be (21/45)/(70/20). Solve 4/15*f**3 - 2/15*f**4 - 4/15*f + 0 + n*f**2 = 0 for f.
-1, 0, 1, 2
Let g = 130 - 114. Solve -3*a**2 - g*a - 2*a + 12*a = 0 for a.
-2, 0
Suppose 13*o + 12*o + 16*o = 0. Factor o*k**2 + 0 - 4/5*k**3 - 4/5*k**5 + 8/5*k**4 + 0*k.
-4*k**3*(k - 1)**2/5
Suppose 7*k = -5*k - 36. Let y be (5/(-2) - k)*8 + 0. Factor -3/5*l**2 + 8/5*l**3 - 2/5*l + 0 - 3/5*l**y.
-l*(l - 2)*(l - 1)*(3*l + 1)/5
Suppose -v + 0*v + 2 = 0. Suppose -6*l + v*l + 3*a + 9 = 0, -5*l - 4*a = 12. Let -3*u + l*u - 3*u**3 + 6*u**3 = 0. What is u?
-1, 0, 1
Let g(b) be the second derivative of b**7/210 - b**6/45 - b**5/6 + b**4 - 3*b**3 - 4*b. Let y(h) be the second derivative of g(h). Find a such that y(a) = 0.
-2, 1, 3
Let q be 35 + -28 + (-65)/13. What is f in 0 - 2*f + 4/3*f**q + 2/3*f**3 = 0?
-3, 0, 1
Let d(p) be the third derivative of 0*p**4 + 8*p**2 + 0*p + 1/6*p**3