) - 22*r(i). Factor a(t).
2*(t - 2)*(t + 1)
Let i = 51/2 - 25. Factor 0*d + 1/4*d**2 - i*d**3 + 0.
-d**2*(2*d - 1)/4
Let h = 301 + -298. Suppose -2*o = -3*d + 18, -o = 3*d - 0*d - 9. Let -2/9*w**5 + 0*w + 4/9*w**d - 2/9*w**h + 0 + 0*w**2 = 0. What is w?
0, 1
Let o(l) be the third derivative of -1/20*l**4 + 0*l**3 + 0 - 6*l**2 + 0*l - 1/100*l**5. Factor o(q).
-3*q*(q + 2)/5
Let s = 6 - 4. Let b = -45 + 137/3. Factor 4/3 + b*p**2 + s*p.
2*(p + 1)*(p + 2)/3
Let r(s) = 49*s**2 - 310*s - 89. Let p(q) = 24*q**2 - 155*q - 44. Let v(w) = 9*p(w) - 4*r(w). Factor v(g).
5*(g - 8)*(4*g + 1)
Suppose -4*w = -16 + 8. Factor -4*n + 4*n**2 - n**2 + 5*n**w - 8 - 4*n**2.
4*(n - 2)*(n + 1)
Factor 1/4*u**3 - u - 1 + 1/4*u**2.
(u - 2)*(u + 1)*(u + 2)/4
Let l = 40/411 - 2/959. Let n(a) be the first derivative of -l*a**3 + 0*a - 1 - 1/7*a**2. Suppose n(v) = 0. Calculate v.
-1, 0
Let j be -3 - (2 - (-7)/(-1)). Suppose l + 2 = j*l. Let 0 - 3/4*q**3 - 3/4*q**4 - 1/4*q**l - 1/4*q**5 + 0*q = 0. What is q?
-1, 0
Let o be -3 + (-33)/(-4) + -3. Let f = 1321/4 - 326. Solve -f*k**3 - 3/4*k**4 + o*k**5 - 1 + 7/4*k**2 + 2*k = 0.
-1, 2/3, 1
Let r(y) = 48*y**5 - 127*y**4 + 51*y**3 + y**2 + 7*y + 7. Let s(u) = -48*u**5 + 126*u**4 - 51*u**3 - 6*u - 6. Let h(g) = -6*r(g) - 7*s(g). Solve h(t) = 0 for t.
0, 1/4, 2
Let z be 356/(-30)*(-15)/(-84). Let l = -11/6 - z. Find g such that 2/7*g**3 + 0*g + 0 + l*g**2 = 0.
-1, 0
Factor -37*y**3 + 2*y**3 + 8*y**3 - 64 + 13*y**3 + 2*y**4 + 12*y**2 + 64*y.
2*(y - 4)**2*(y - 1)*(y + 2)
Let z(m) = -m - 1. Suppose -4*b - 20 + 0 = 0. Let y be z(b). Suppose -10/3*a**2 - 8/3*a**3 + 0 - 4/3*a - 2/3*a**y = 0. Calculate a.
-2, -1, 0
Let u(o) be the second derivative of 0*o**2 - 1/4*o**4 - o + o**3 + 0 - 3/20*o**5. Factor u(f).
-3*f*(f - 1)*(f + 2)
Let g(k) = -11*k**2 + 4*k - 20. Let q be ((-3)/(-9))/((-1)/(-9)). Let l(a) = -4*a**2 + a - 7. Let p(t) = q*g(t) - 8*l(t). Determine i, given that p(i) = 0.
2
Let p be ((-27)/(-21) - (-4 - -1)) + -4. Factor p*l**3 + 0 + 2/7*l - 4/7*l**2.
2*l*(l - 1)**2/7
Let c(s) = 19*s**4 + 43*s**3 + 59*s**2 + 32*s + 8. Let u(k) = -5*k**4 - 11*k**3 - 15*k**2 - 8*k - 2. Let t(w) = 6*c(w) + 22*u(w). Find x, given that t(x) = 0.
-1
Factor 66/5*s - 3/5*s**2 - 363/5.
-3*(s - 11)**2/5
Let p be ((-38)/(-12) + -3)/6. Let q(h) be the second derivative of 1/18*h**3 + p*h**4 + 0 + 0*h**2 + 4*h. Factor q(k).
k*(k + 1)/3
Factor 1/2*w**2 + 1/2*w - 1.
(w - 1)*(w + 2)/2
Let r(n) be the first derivative of 2*n**6/3 - 4*n**4 - 8*n**3/3 + 6*n**2 + 8*n + 21. Solve r(x) = 0.
-1, 1, 2
Find c such that -26/5*c**2 - 2*c**3 - 8/5*c + 8/5 = 0.
-2, -1, 2/5
Suppose -5*g = 2*r + 15, -3*g + r = 2*g. Let z = g - -3. Factor -1/4 - 1/4*f**z + 1/2*f.
-(f - 1)**2/4
Let j(q) be the third derivative of q**8/8960 + q**7/3360 - q**4/6 - 2*q**2. Let a(r) be the second derivative of j(r). Determine s so that a(s) = 0.
-1, 0
Let h = 8/21 - 3/14. Let s(n) be the second derivative of 0 - 1/9*n**3 - 4*n + 1/36*n**4 + h*n**2. Solve s(i) = 0.
1
Let l(a) be the first derivative of -6/11*a**2 + 2/33*a**3 + 18/11*a + 2. Solve l(p) = 0 for p.
3
Let k(y) be the first derivative of -5*y**4/22 + 16*y**3/33 + 4*y**2/11 + 3. What is o in k(o) = 0?
-2/5, 0, 2
Suppose 0 + 21/4*f**4 + 0*f + 0*f**3 + 0*f**2 + 3/4*f**5 = 0. What is f?
-7, 0
Let x(d) = d**3 + d. Let t = -7 + 5. Let s(q) = 16*q**3 + 30*q**2 + 12*q + 2. Let u(w) = t*x(w) - s(w). Determine n so that u(n) = 0.
-1, -1/3
Suppose a + 6*t - 12 = 2*t, -4 = -a + 4*t. Let k(r) = r**2 - 8*r + 4. Let u be k(a). Factor 2/3*x**u + 0 + 2*x**3 + 2/3*x + 2*x**2.
2*x*(x + 1)**3/3
Let j(l) be the third derivative of l**6/120 + l**5/60 - l**4/6 - 2*l**3/3 + 6*l**2. Factor j(w).
(w - 2)*(w + 1)*(w + 2)
Factor 5*r - 41*r + 9*r**3 - 8 - 5*r**3 + 12*r**3 - 12*r**2.
4*(r - 2)*(r + 1)*(4*r + 1)
Let f = 0 - -16. Let u = f - 11. Factor 0*b**4 + 4*b**4 - 2*b**3 + 2*b**2 - 2*b**4 + 2*b**u - 4*b**2.
2*b**2*(b - 1)*(b + 1)**2
Let r(i) = i**2 + 2. Let d be r(0). Factor 4*j**3 - d*j**3 - 4*j**3 + 2*j**2.
-2*j**2*(j - 1)
Suppose 112/3*d - 4/3*d**3 - 16*d**2 + 4/3*d**4 - 64/3 = 0. Calculate d.
-4, 1, 2
Factor -6*m**3 - 2*m**2 + 5*m**2 - 4*m**2 - m**2.
-2*m**2*(3*m + 1)
Let q = 11876531/110 - 107967. Let y = 3/22 + q. Factor -2/5 - 6/5*z**2 + y*z.
-2*(z - 1)*(3*z - 1)/5
Let u(h) be the first derivative of 0*h**2 - 1/5*h**5 + 1/3*h**3 + 0*h**4 + 0*h - 1. Factor u(c).
-c**2*(c - 1)*(c + 1)
Let l(g) be the third derivative of -3/50*g**5 - 2/15*g**4 + 4/15*g**3 + 1/105*g**7 + 0*g + 2/75*g**6 + 0 + 3*g**2. Solve l(d) = 0 for d.
-2, -1, 2/5, 1
Suppose -4*r = 3*v + 12, -3 = -3*v + 5*v + r. Factor -6*a - 2 - 2*a**3 + 0*a**3 + v*a**3 - 6*a**2.
-2*(a + 1)**3
Let o(c) be the second derivative of -c + 0 - 1/12*c**3 - 1/8*c**2 - 1/48*c**4. Factor o(y).
-(y + 1)**2/4
Let g = 768/5 - 153. Let x be (-1)/(-2*2/8). Determine u so that 1/5 - 4/5*u**4 + g*u**x - u**3 + u = 0.
-1, -1/4, 1
Let m = 30 - 25. Let l = 65/18 + -28/9. Find q such that -1/2*q**m - 3/2*q**3 + 0*q + 0 - 3/2*q**4 - l*q**2 = 0.
-1, 0
Suppose 9 = 4*i - 7. Factor 4/5*h + 0 + 0*h**3 - 6/5*h**2 + 2/5*h**i.
2*h*(h - 1)**2*(h + 2)/5
Let z = 1181 + -8261/7. Suppose 6/7 - z*r**2 - 2/7*r + 2/7*r**3 = 0. Calculate r.
-1, 1, 3
Let v(l) be the third derivative of 0 + 3/448*l**8 + 0*l + 11/240*l**6 - 2*l**2 - 1/35*l**7 + 1/96*l**4 + 0*l**3 - 1/30*l**5. What is z in v(z) = 0?
0, 1/3, 1
Let x(k) = 1. Let o(u) = 2*u**2 - 4*u - 3. Suppose 2*d + l + 0 = -7, d - 5*l - 24 = 0. Let a(q) = d*o(q) - 5*x(q). Find n, given that a(n) = 0.
1
Let k = 6 - 2. Factor -4*f**3 - f**3 - f**3 + 2*f**k + 4*f**2.
2*f**2*(f - 2)*(f - 1)
Let c(i) = -2*i**2 + 12*i - 10. Let l be c(5). Let x(b) be the third derivative of b**2 + 0 - 1/32*b**4 + l*b**3 + 0*b - 1/80*b**5. Factor x(g).
-3*g*(g + 1)/4
Let s(j) be the first derivative of -2/15*j**5 - 2*j - 1/45*j**6 - 4/9*j**3 - 2 - 1/3*j**4 - 1/3*j**2. Let o(m) be the first derivative of s(m). Factor o(g).
-2*(g + 1)**4/3
Let m be (-10)/35 - 46/(-14). Let g(k) = -k**2 + 4*k. Let n be g(m). Find v such that 2*v**n - v**3 + 0*v**3 = 0.
0
Let z(q) = -q**3 + q**2 + 7*q - 4. Let d be z(4). Let f be d/30*1/(-2). Solve -f*u**2 + 2/5 - 2/5*u + 2/5*u**3 = 0 for u.
-1, 1
Suppose -2*q + 11 = -3*q - 5*b, -3*b = 9. Let x be ((-24)/(-16))/(2/q). Let -9*v**x - 4/5*v + 24/5*v**2 + 0 + 5*v**4 = 0. What is v?
0, 2/5, 1
Let z = 9 - 6. Factor -2 - 2*d**z - 2 + 2 + 4 + 2*d - 2*d**2.
-2*(d - 1)*(d + 1)**2
Let z(t) be the first derivative of -t**6/1080 + t**5/135 - t**4/54 + 3*t**2/2 - 7. Let r(h) be the second derivative of z(h). Factor r(d).
-d*(d - 2)**2/9
Let r(v) = -v + 14. Let a be r(9). Let u = a - 5. Determine x, given that -2*x**2 + 0 + u + 0 = 0.
0
Suppose 5*t - 50 = 2*d, 3*t + t - 5*d = 57. Let g(p) = -p**2 + 7*p + 10. Let v be g(t). Factor 0*y**v - 3/4 + 3/2*y + 3/4*y**4 - 3/2*y**3.
3*(y - 1)**3*(y + 1)/4
Factor 4/3*z**4 - 4/3*z**2 + 0 + 0*z**3 - 2/3*z**5 + 2/3*z.
-2*z*(z - 1)**3*(z + 1)/3
Suppose -10*o - 5/4*o**2 - 20 = 0. What is o?
-4
Solve 0 + 0*f - 12/5*f**3 - 12/5*f**2 - 3/5*f**4 = 0.
-2, 0
Let m(n) = 9*n**2 + 15*n + 6. Let p(h) = -4*h**2 - 7*h - 3. Let f(s) = -3*m(s) - 7*p(s). Find w such that f(w) = 0.
-3, -1
Let n(s) = 8*s + 60. Let m be n(-7). Find y, given that 1/3 - 1/3*y**m - 2/3*y + 0*y**2 + 2/3*y**3 = 0.
-1, 1
Let q(k) be the third derivative of k**7/630 - k**6/360 - k**5/180 + k**4/72 + 8*k**2. Solve q(m) = 0.
-1, 0, 1
Factor -c**2 - 2/5*c**3 - 1/5 - 4/5*c.
-(c + 1)**2*(2*c + 1)/5
Let s(n) = n**3 + 8*n**2 - 2*n - 11. Let x be s(-8). Suppose 3*l - 1 = x. What is a in 6*a + 0 + 6*a**2 + 0*a**2 + l + 2*a**3 = 0?
-1
Let n = -12 - -14. Let a(r) be the third derivative of 1/24*r**4 - 1/75*r**5 - 2*r**n - 1/30*r**3 + 0*r + 0. Factor a(j).
-(j - 1)*(4*j - 1)/5
Let x(v) be the second derivative of 1/84*v**7 - 1/60*v**6 + 1/24*v**4 + 0 + 0*v**2 - 1/40*v**5 - v + 0*v**3. Find s such that x(s) = 0.
-1, 0, 1
Let y(z) be the first derivative of -2/15*z**5 + 1 - 2/3*z - 4/3*z**3 - 4/3*z**2 - 2/3*z**4. Factor y(h).
-2*(h + 1)**4/3
Let -3/4*w**3 - 3/4*w + 0 + 3/2*w**2 = 0. What is w?
0, 1
Let c(j) be the first derivative of 2*j**5/45 + j**4/6 + 2*j**3/27 - j**2/3 - 4*j/9 - 20. Solve c(d) = 0 for d.
-2, -1, 1
Let r(t) be the second derivative of -t**10/30240 - t**9/15120 + t**8/6720 + t**7/2520 + t**4/4 - 2*t. Let