4*k - 3/2*k**2. Factor a(r).
3*(r - 2)*(r + 2)/4
Let v(y) = 21*y**3 - 143*y**2 - 28*y + 3. Let c be v(7). Let k be (-2)/3*(-18)/8. What is d in -k*d**2 + 9/4*d - 3/4*d**c + 0 = 0?
-3, 0, 1
Let b be (2/13 + (-640)/780)*-6. Let k be (0 + 4)*(-19)/(-4). Let 4*p**b + 2*p**3 - 2*p - 17*p**5 + k*p**5 + 2*p = 0. Calculate p.
-1, 0
Let u(z) be the first derivative of z**4/20 - 4*z**3/15 + z**2/2 - 2*z/5 + 49. Factor u(l).
(l - 2)*(l - 1)**2/5
Let j(i) be the third derivative of i**7/2100 + 71*i**6/1200 - 73*i**5/600 - 71*i**4/240 + 6*i**3/5 - 882*i**2. Find t such that j(t) = 0.
-72, -1, 1
Factor -10/17*r - 12/17 + 2/17*r**2.
2*(r - 6)*(r + 1)/17
Let v = -144 - -148. Let k(b) be the second derivative of 0*b**2 - 3*b**v - 2*b**3 + 0 - 27/20*b**5 - 3*b. Let k(s) = 0. What is s?
-2/3, 0
Let c(i) be the first derivative of 19*i**5/4 + 85*i**4/16 - 35*i**3/4 - 85*i**2/8 + 5*i/2 + 39. Find w, given that c(w) = 0.
-1, 2/19, 1
Let s(f) = 5*f**2 + 9*f + 7. Let h = 3 + 6. Let t(o) = -1 - o**2 - 6*o**2 - h*o**2 - o + 15*o**2. Let c(d) = 2*s(d) + 6*t(d). Suppose c(n) = 0. What is n?
-2, -1
Find j, given that 4327*j**5 + 2268*j**4 + 73*j**2 - 4131*j**5 + 3208*j**3 + 1223*j**2 + 160*j = 0.
-10, -1, -2/7, 0
Let k(r) be the first derivative of -8/3*r**3 + 8*r - 4 + 2*r**2 - r**4. Factor k(f).
-4*(f - 1)*(f + 1)*(f + 2)
Let p be ((-2760)/100 - -27)/((-6)/20). What is g in 2/3*g**3 + 4/3*g + 0 - 2*g**p = 0?
0, 1, 2
Let o(n) be the first derivative of -3*n**6/2 - 21*n**5/10 + 3*n**4/8 + n**3 + 40. Solve o(m) = 0 for m.
-1, -2/3, 0, 1/2
Let u(f) be the second derivative of 9*f + 96/5*f**2 + 0 + 8/5*f**3 + 1/20*f**4. Suppose u(j) = 0. Calculate j.
-8
Let s(h) be the first derivative of h**5/40 + h**4/8 + h**3/4 - 13*h**2/2 - 16. Let i(r) be the second derivative of s(r). Let i(o) = 0. What is o?
-1
Let d(y) be the third derivative of -11*y**2 + 0*y + 1/18*y**4 + 0 - 1/15*y**5 + 2/315*y**7 + 4/9*y**3 - 1/90*y**6. Factor d(j).
4*(j - 2)*(j - 1)*(j + 1)**2/3
Let u(a) be the first derivative of 2*a**6/3 + a**5/5 - 3*a**4 + 5*a**3/3 + a**2 + 172. Determine s so that u(s) = 0.
-2, -1/4, 0, 1
Suppose -3 = 2*k + 1. Let i be -3*k/3 + (-4)/6. Let i*s**3 + 3 - 8/3*s**2 - s = 0. What is s?
-1, 3/2
Let k(i) be the first derivative of 50*i**3/33 - 210*i**2/11 + 882*i/11 + 104. Factor k(p).
2*(5*p - 21)**2/11
Let s(l) = 164*l**2 - 6*l. Let d be s(-1). Find g, given that -170 - 5*g - 5*g**2 + d = 0.
-1, 0
Find h, given that -467*h - 7*h**3 - 161*h - 1472*h - 1125 + 295*h**2 + 3*h**3 - 6*h**3 = 0.
-1/2, 15
Suppose -2*x - 2*x + 8 = 0. Factor x*g**2 - 5 - 7 + 11*g + 8*g**2 + 15*g.
2*(g + 3)*(5*g - 2)
Let o be -1*0/(-4 - -3). Let j(p) be the third derivative of -3/40*p**5 - 1/24*p**4 + o*p + 0 + 0*p**3 - 2*p**2. Factor j(d).
-d*(9*d + 2)/2
Let n(i) be the first derivative of 5/2*i**6 - 45/2*i**2 + 6 - 10*i**5 + 15/2*i**4 + 10*i + 40/3*i**3. Find a such that n(a) = 0.
-1, 1/3, 1, 2
Let v = 7268/3 - 2421. Find q such that 10/3*q - v*q**2 - 5/3 = 0.
1
Solve -3/5*h**3 - 54/5 - 36/5*h**2 - 87/5*h = 0 for h.
-9, -2, -1
Let n be 830/(-581) - (-156)/70. Solve n*i + 2/5*i**2 + 2/5 = 0.
-1
Suppose -2*p = -n + 13, -3*n + p + 10 = -9. Suppose 5*b + 2 = 4*t, -5*b + 22 = 4*t - 0*b. Find y, given that n*y + 28*y**2 + 2*y + y + 20*y**t = 0.
-1, -2/5, 0
Let z(w) be the third derivative of -w**7/2520 + w**5/30 + 2*w**4/3 + 20*w**2. Let b(k) be the second derivative of z(k). Determine n, given that b(n) = 0.
-2, 2
Let v(y) = -5*y**3 + 5*y - 4. Let p(g) = 66*g**3 - 66*g + 54. Let i(z) = 2*p(z) + 27*v(z). What is b in i(b) = 0?
-1, 0, 1
Find l such that 1/11*l**3 - 1/11*l - 8/11 + 8/11*l**2 = 0.
-8, -1, 1
Let u(b) = 4*b - 18. Let h be u(5). Solve -32/7*z + 20/7*z**h - 16/7 = 0 for z.
-2/5, 2
Let p(c) be the third derivative of c**5/50 + 119*c**4/10 + 14161*c**3/5 - 120*c**2 - 2. Suppose p(d) = 0. Calculate d.
-119
Let f(c) be the second derivative of 2*c**6/15 + c**5/6 - c**4/3 + 11*c**3/6 - c. Let u(b) be the second derivative of f(b). Factor u(s).
4*(3*s + 2)*(4*s - 1)
Let a = 1306/1113 - 42/53. Factor -2/21*t**2 - 8/21 + a*t.
-2*(t - 2)**2/21
Let y(p) = -19*p**2 - 11*p + 23. Let a(u) = 10*u**2 + 5*u - 11. Let n(r) = 5*a(r) + 2*y(r). Let q(j) = j**2 - 1. Let x(m) = n(m) - 3*q(m). Factor x(l).
3*(l + 1)*(3*l - 2)
Factor c**4 + 6*c**2 + 8*c + 14*c**3 - 9*c + 2*c**2 - 19*c - 3*c**3.
c*(c - 1)*(c + 2)*(c + 10)
Let s(t) be the third derivative of -t**8/112 + 2*t**7/35 - 3*t**6/40 + 51*t**2. Solve s(h) = 0.
0, 1, 3
Let q(x) be the second derivative of -4*x**7/63 - 47*x**6/45 - 6*x**5 - 136*x**4/9 - 112*x**3/9 + 16*x**2 + 61*x. Solve q(w) = 0 for w.
-6, -2, 1/4
Let g = 1/2198 - -21/3140. Let i(v) be the second derivative of g*v**5 + 0 + 7*v + 0*v**4 + 0*v**2 - 1/42*v**3. Factor i(d).
d*(d - 1)*(d + 1)/7
Factor 233*j + 37*j**2 + 8*j**2 - 1780*j + 76880 - 2278*j + 105*j.
5*(3*j - 124)**2
Let q(l) be the first derivative of 9/8*l**4 + 0*l**2 + 1/2*l**3 + 9/10*l**5 + 1/4*l**6 + 0*l + 10. Factor q(j).
3*j**2*(j + 1)**3/2
Let t = -13808 + 69382/5. Solve -576/5*q**2 + 108/5 - 212/15*q**4 + t*q + 6/5*q**5 + 308/5*q**3 = 0 for q.
-2/9, 3
Let y(c) = 2*c + 31. Let t be y(-12). Suppose -14*n + 28 = -t*n. Solve -h**3 + 1/3*h**n - 1/3*h + 0 + h**2 = 0.
0, 1
Suppose 5*g = 10*g - 215. Suppose -g = -5*o - 33. Find u, given that 35/2*u**2 + o - 11*u - 25/4*u**3 = 0.
2/5, 2
Let u(p) be the third derivative of p**5/24 - 65*p**4/8 + 2535*p**3/4 + 57*p**2. Suppose u(o) = 0. What is o?
39
Let d(c) be the second derivative of -26*c + 1/3*c**3 + 0 + 0*c**2 - 1/42*c**4. Factor d(l).
-2*l*(l - 7)/7
Let w(o) be the second derivative of -3/20*o**5 + 1/2*o**3 + 9*o - 1/2*o**4 + 0 + 3*o**2. Factor w(s).
-3*(s - 1)*(s + 1)*(s + 2)
Suppose 248 = 20*b + 148. Find d, given that 0*d**3 + 8/7*d**b + 0 + 0*d**2 + 0*d - 2/7*d**4 = 0.
0, 1/4
Find g, given that 155 + 315*g - 735/4*g**2 - 25/4*g**3 = 0.
-31, -2/5, 2
Let j(m) be the third derivative of 0*m**7 + 1/20*m**6 + 54*m**2 + 0*m**3 - 1/168*m**8 + 0*m**4 + 1/15*m**5 + 0 + 0*m. Factor j(d).
-2*d**2*(d - 2)*(d + 1)**2
Let f = -12 + 14. Factor -a**5 + 4 + 2*a**5 - 2*a**2 + 2*a**2 + 3*a**4 - 7*a**f - a**3.
(a - 1)**2*(a + 1)*(a + 2)**2
Factor 1 - 39*f**2 - 3*f + 2*f + 2 + 5*f.
-(3*f - 1)*(13*f + 3)
Suppose -7*i = -i - 72. Factor -15*f + 11 - i*f - 2*f**2 - 27 + 9*f.
-2*(f + 1)*(f + 8)
Let n be (68/(-85))/(6/(-15)). Let m(b) be the third derivative of 0 + 0*b + 0*b**4 - b**n + 0*b**3 + 1/150*b**5 + 1/150*b**6 + 1/525*b**7. Factor m(y).
2*y**2*(y + 1)**2/5
Let p(z) be the third derivative of -z**5/300 + 3*z**4/8 + 23*z**3/15 + 11*z**2 + 8*z. Factor p(l).
-(l - 46)*(l + 1)/5
Suppose 0 - 6/7*y**3 - 10/7*y + 18/7*y**2 - 2/7*y**4 = 0. Calculate y.
-5, 0, 1
Let f = 10 - 8. Factor 41*j**f - 31*j**2 + j - 6*j**3 - 5*j.
-2*j*(j - 1)*(3*j - 2)
Suppose 3*g + 3 = 3*l, -4*l + 32 = g + 2*g. Solve -9*a**2 + 6 + 28*a**3 - a - 31*a**3 + 3*a**4 + g*a = 0 for a.
-1, 1, 2
Let i be (1 - (-15)/(-9)) + (-380)/(-12). Let q = 33 - i. Solve 2/7*f - 6/7*f**q + 0 + 4/7*f**3 = 0.
0, 1/2, 1
Let l(r) = -2*r**4 - 12*r**3 - 64*r**2 + 48*r + 192. Let a(q) = -q**4 - 8*q**3 - 43*q**2 + 32*q + 128. Let i(w) = 8*a(w) - 5*l(w). Solve i(o) = 0.
-2, 2, 4
Find f such that 165*f**4 + 320*f + 666*f**3 + 1028*f**2 - 70 - 32 - f**4 - 148 + 58 + 14*f**5 = 0.
-4, -3, -1, 2/7
Let v = 175 - 172. Suppose -v*a + a - 5*h = -25, 3*a + 2*h - 21 = 0. Factor -1/3 + 2/3*s**4 - 1/3*s**2 + 2/3*s**3 - 5/6*s + 1/6*s**a.
(s - 1)*(s + 1)**3*(s + 2)/6
Let a(f) be the second derivative of f**8/840 - f**6/300 - 8*f**2 - 9*f. Let d(x) be the first derivative of a(x). Suppose d(z) = 0. Calculate z.
-1, 0, 1
Let z = -9527 + 9527. Suppose 3*s = -m + 14, -4*s + 3*m - 9 = -2*s. Suppose 2/11*g + z - 2/11*g**4 - 2/11*g**s + 2/11*g**2 = 0. What is g?
-1, 0, 1
Let t(c) be the first derivative of 49*c**6/45 + 14*c**5/3 + 47*c**4/6 + 58*c**3/9 + 8*c**2/3 + 8*c/15 + 169. Factor t(i).
2*(i + 1)**3*(7*i + 2)**2/15
Let b = -2/10533 - -1601030/73731. What is x in b*x**2 - 16/7*x + 0 - 396/7*x**3 + 162/7*x**4 = 0?
0, 2/9, 2
Suppose -4*v + 14 = -9*b, -5*b - 3*v - 315 = -349. Factor a**b + 2/5*a + 1/5*a**4 + 0 + 4/5*a**3.
a*(a + 1)**2*(a + 2)/5
Let h(s) = s**2 + 2*s + 1. Let v be h(-1). Let u = 8/35 - -2/35. Determine w so that 6/7*w**3 + 2/7*w**4 + v + 6/7*w**2 + u*w = 0.
-1, 0
Determin