h = 0. Calculate h.
-2, -1, 0
Factor 20*a**2 + a**3 + 34*a + 18*a**2 + 149 - 29 + a**3 + 94*a.
2*(a + 2)**2*(a + 15)
Suppose -4*o = -o - 9. Determine n so that -5*n**o - 1860*n + 1860*n + 10*n**4 = 0.
0, 1/2
Let b(o) be the third derivative of -o**7/6300 - o**6/1800 + o**5/150 - 7*o**4/24 - 12*o**2. Let c(k) be the second derivative of b(k). Factor c(t).
-2*(t - 1)*(t + 2)/5
Suppose -15*s + 12 = -13*s. Let o(g) be the third derivative of 0*g + 1/180*g**s - 2*g**2 + 5/36*g**4 + 0 + 2/45*g**5 + 2/9*g**3. Factor o(z).
2*(z + 1)**2*(z + 2)/3
Let x be (-4)/(-14) - (5848/84)/1. Let m = 70 + x. Factor 0 + o**2 + 1/3*o**3 + m*o.
o*(o + 1)*(o + 2)/3
Let o(p) = -p**2 - 33*p - 196. Let c be o(-8). Let y(n) be the second derivative of n**2 - 1/2*n**3 + 7*n + 1/12*n**c + 0. Suppose y(b) = 0. What is b?
1, 2
Solve 5*f + 25/2 + 1/2*f**2 = 0 for f.
-5
Let v(s) be the second derivative of 5*s**7/42 + 5*s**6/6 - s**5 - 25*s**4/3 + 143*s. Factor v(i).
5*i**2*(i - 2)*(i + 2)*(i + 5)
Let y(i) = i - 1. Let n(m) = -5*m + 3. Let p(c) = n(c) + 4*y(c). Let a(o) = -2*o**2 + 8*o + 14. Let b(k) = -a(k) - 10*p(k). Let b(t) = 0. What is t?
-2, 1
Let q(s) be the second derivative of 9*s**5/14 + 31*s**4/21 - 52*s**3/21 + 8*s**2/7 + 214*s. Suppose q(k) = 0. What is k?
-2, 2/9, 2/5
Let o(a) = -18*a + 128. Let h be o(7). Let s(d) be the first derivative of 9 - 4/3*d**3 + 2*d**h + 8*d. Find x, given that s(x) = 0.
-1, 2
Factor -148*l**2 + 154 + 296 + 716*l + 822*l - 61*l**3 - 473*l + 66*l**3.
(l - 15)**2*(5*l + 2)
Let h(i) = -8*i - 8 + 32*i**3 + 70*i**3 + 18*i**2 - 208*i**4 - 2*i**2. Let q(a) = -a**4 - a**3 + a**2 - 1. Let w(f) = -h(f) + 8*q(f). Factor w(z).
2*z*(4*z + 1)*(5*z - 2)**2
Suppose 49*h + 60*h - 35*h**2 + 3*h - 64 + 4*h**4 - 13*h**2 - 4*h**3 = 0. Calculate h.
-4, 1, 2
Let f be (6/(-75) + (-17)/(3825/(-18)))/4. Factor j - 2/3 - 4/3*j**3 + 2/3*j**2 + 1/3*j**5 + f*j**4.
(j - 1)**3*(j + 1)*(j + 2)/3
Let t(n) be the third derivative of n**7/1680 + n**6/320 - n**5/120 - n**4/16 - 4*n**2 - 13. Let t(y) = 0. What is y?
-3, -2, 0, 2
Let q(n) be the first derivative of -n**3/6 - n**2/4 - 107. Factor q(z).
-z*(z + 1)/2
Let v(k) be the third derivative of k**5/240 + 3*k**4/16 + 17*k**3/24 + 161*k**2. Factor v(m).
(m + 1)*(m + 17)/4
Suppose -11*p + 37*p = -20*p. Let b(c) be the third derivative of p*c + 1/960*c**6 + 9*c**2 + 0 + 1/240*c**5 - 1/24*c**3 - 1/192*c**4. Factor b(h).
(h - 1)*(h + 1)*(h + 2)/8
Suppose 3/2*i**2 - 27/2*i + 27 = 0. What is i?
3, 6
Let m(o) = o**2 - 6*o - 13. Let h be m(7). Let u = 10 + h. Suppose v**3 + 2*v**3 - u*v**4 + 4*v**2 + v**3 + 0*v**2 - 4*v = 0. Calculate v.
-1, 0, 1
Let h(l) = -13*l**5 + 12*l**4 - 19*l**3 - l**2 + 10*l. Let d(o) = o**5 + o**3 - o**2. Let z(u) = -22*d(u) - 2*h(u). Factor z(t).
4*t*(t - 5)*(t - 1)**2*(t + 1)
Let u(j) be the third derivative of j**5/240 - 2*j**2 + 18. Solve u(f) = 0.
0
Let f(x) be the first derivative of 37 + 1/14*x**4 + 0*x - 2/7*x**3 + 2/7*x**2. Factor f(d).
2*d*(d - 2)*(d - 1)/7
Let l(d) = -3*d - 15. Let q be l(-6). Suppose 2*h + 8 = q*h. Factor 3*u**2 - 3*u**4 + 2*u - 9*u**3 + h*u**5 + 4*u + 0*u**5 - 5*u**5.
3*u*(u - 2)*(u - 1)*(u + 1)**2
Let b(z) be the third derivative of 4/15*z**5 - 2/35*z**7 + 0*z**3 + 0*z**4 + 1/84*z**8 + 0 + 0*z**6 + 0*z - 22*z**2. Factor b(h).
4*h**2*(h - 2)**2*(h + 1)
Suppose -87*x = -92*x. Let s(h) be the second derivative of 0*h**2 + x - 1/90*h**6 - h + 0*h**3 + 1/30*h**5 - 1/36*h**4. Factor s(u).
-u**2*(u - 1)**2/3
Let n(h) be the first derivative of -h**7/280 + 3*h**6/160 - h**5/40 - 5*h**2 - 11. Let v(a) be the second derivative of n(a). Factor v(m).
-3*m**2*(m - 2)*(m - 1)/4
Let s(t) = -7*t - 158. Let h be s(-30). Let v be (h/16 + -4)/(-3). Factor 0 + 1/4*q**2 - 1/4*q**4 + 0*q + 1/4*q**5 - v*q**3.
q**2*(q - 1)**2*(q + 1)/4
Factor 17*k**2 - k**2 - 17*k**2 + 3*k**2 + 10*k - 12.
2*(k - 1)*(k + 6)
Let u = 807/2 - 403. Let v(m) be the first derivative of -1/8*m**2 + 1/12*m**3 - u*m - 1. Factor v(w).
(w - 2)*(w + 1)/4
Let w(k) be the third derivative of -k**8/336 - k**7/504 - k**4/6 - 11*k**2. Let i(x) be the second derivative of w(x). Factor i(s).
-5*s**2*(4*s + 1)
Suppose -v - 2 + 7 = 0. Suppose v*n = -2*s, 0 = 4*n - 3*s + s - 18. Suppose n*a**2 + 0 + 25/2*a**5 + 0*a - 25/2*a**4 - 2*a**3 = 0. What is a?
-2/5, 0, 2/5, 1
Suppose 11*l + 16 = -11*l + 82. Factor 0 + 4/3*j**l - 2*j**2 + 2/3*j**4 + 0*j.
2*j**2*(j - 1)*(j + 3)/3
Factor 2/5*i**2 + 3/5*i - 4/5*i**3 + 1/5*i**5 + 0*i**4 - 2/5.
(i - 1)**3*(i + 1)*(i + 2)/5
Factor -94/11*d - 31/11 - 1/11*d**4 - 96/11*d**2 - 34/11*d**3.
-(d + 1)**3*(d + 31)/11
Let t = -9 + 11. Let -23*m**t + 10*m + 3*m**2 + 5*m**3 + 0*m**2 + 10*m = 0. What is m?
0, 2
Let u(c) be the first derivative of 1/10*c**5 + 1/16*c**4 + 0*c**2 + 18 - 1/24*c**6 + 0*c - 1/6*c**3. Let u(k) = 0. What is k?
-1, 0, 1, 2
Let l(d) be the first derivative of d**6/14 + 12*d**5/35 + 9*d**4/28 - 39. Solve l(b) = 0.
-3, -1, 0
Suppose 32/13*q - 16/13*q**3 + 2/13*q**5 + 32/13 - 16/13*q**2 + 2/13*q**4 = 0. Calculate q.
-2, -1, 2
Let w = -2/595 - -359/595. Let g(d) = -2*d**2 - 13*d + 9. Let o be g(-7). Suppose w*x**3 + 0 + 0*x + 6/5*x**o = 0. Calculate x.
-2, 0
Let y be 27/(-216)*12/2*-4. Let f(m) be the second derivative of 18*m**3 + 1/5*m**5 - 7*m - y*m**4 + 0 - 54*m**2. Determine i, given that f(i) = 0.
3
Let c(z) = 10*z + 13*z - 14 - 3 - 6*z - 6*z**2. Let m(a) = 4*a**2 - 11*a + 11. Let t(k) = -5*c(k) - 7*m(k). Solve t(u) = 0 for u.
2
Let z(l) be the third derivative of -l**5/270 - 53*l**4/27 - 11236*l**3/27 - 280*l**2. Find u, given that z(u) = 0.
-106
Let u(y) = -y**5 + 28*y**4 + 32*y**3 - 6*y - 3. Let l(t) = 2*t**5 - 56*t**4 - 63*t**3 + 10*t + 5. Let g(a) = -6*l(a) - 10*u(a). Factor g(b).
-2*b**3*(b - 29)*(b + 1)
Find c, given that 1/5*c**2 - 2/5*c**3 + 1/5*c**4 + 0 + 0*c = 0.
0, 1
Suppose -t - 3*q - 5 = 0, 3*q + 2*q = t + 5. Let v(a) = 7*a**2 - 21*a. Let m(s) = -6*s**2 + 20*s. Let p(r) = t*m(r) - 4*v(r). Let p(y) = 0. What is y?
0, 8
Find j such that 0*j**3 - 1511*j**2 + 2*j**3 - 8 - j + 1519*j**2 - j = 0.
-4, -1, 1
Let k be (-68)/(-28) + 4/7. Suppose 5 = 5*d - 5. Factor -o**4 + 2*o**2 + d*o**3 + o**k - 2*o**4 + 4*o**4.
o**2*(o + 1)*(o + 2)
Let y(h) = -21*h**2 + 1122*h + 20559. Let f(q) = 9*q**2 - 449*q - 8224. Let j(i) = -12*f(i) - 5*y(i). Factor j(t).
-3*(t + 37)**2
Factor 45/2*x + 0 - 5/2*x**2.
-5*x*(x - 9)/2
Factor 2*h**4 + 906*h + 2*h**4 - 480*h**2 + 70*h - 176*h + 90*h**3 - 9*h**4.
-5*h*(h - 10)*(h - 4)**2
Let s(a) be the third derivative of -a**8/1680 + a**7/525 + 357*a**2. Factor s(j).
-j**4*(j - 2)/5
Let a(d) be the first derivative of 2*d**5/45 - d**4/2 - 80*d**3/9 - 272*d**2/9 + 229. Factor a(y).
2*y*(y - 17)*(y + 4)**2/9
Let s(h) be the second derivative of h**6/6 + 13*h**5/4 + 125*h**4/6 + 80*h**3/3 - 240*h**2 - 79*h. Suppose s(u) = 0. What is u?
-6, -4, 1
Let m(p) be the third derivative of p**7/26460 - p**6/2520 + p**5/630 - p**4/2 - 6*p**2. Let r(t) be the second derivative of m(t). Factor r(u).
2*(u - 2)*(u - 1)/21
Let o = -27 - -15. Let r be (o/(-5))/(2/10). Suppose -3*q**5 - 3*q**2 + 14*q - q**2 + q**5 + 10*q**4 - 6 - r*q**3 = 0. What is q?
-1, 1, 3
Let z(y) be the second derivative of -y**8/2240 + y**6/240 - 3*y**4/4 - 13*y. Let k(s) be the third derivative of z(s). Factor k(p).
-3*p*(p - 1)*(p + 1)
Let h(s) be the second derivative of -6/5*s**5 + 1/3*s**6 + 0 + 3/2*s**4 + 34*s - 2/3*s**3 + 0*s**2. Let h(v) = 0. Calculate v.
0, 2/5, 1
Let q(c) = c**2 - c. Let o = 12 + -11. Let a(i) = -i**2 - i. Let y(r) = o*q(r) + 2*a(r). Factor y(k).
-k*(k + 3)
Let g(n) be the third derivative of -n**8/2184 + 2*n**7/1365 + n**6/260 + 722*n**2. Factor g(t).
-2*t**3*(t - 3)*(t + 1)/13
Let o(m) = m**4 - 2*m**2 - m. Let k(r) = -8*r**4 - 44*r**3 - 70*r**2 - 42*r - 8. Let u(a) = -k(a) + 2*o(a). Find w such that u(w) = 0.
-2, -1, -2/5
Let n be (1/(2 - 3))/(51/(-255)). Let j(b) be the second derivative of 0*b**4 + 5*b + 1/105*b**7 + 0*b**n - 1/75*b**6 + 0*b**3 + 0*b**2 + 0. Factor j(o).
2*o**4*(o - 1)/5
Let f be 12/(-27)*-1995*8/(-30). Let d = -236 - f. Factor -2/9 - 2/9*h**2 - d*h.
-2*(h + 1)**2/9
Let n(i) = -7*i**3 - i**2. Let x(p) = -2*p - 2. Let u be x(-4). Let m(h) = 8*h**3 + h**2. Let g(d) = u*m(d) + 7*n(d). Solve g(y) = 0.
-1, 0
Let a(t) be the second derivative of 0*t**3 + 1/48*t*