(i) = 2*i**2 - 4*i + 2. Let g be w(2). Factor 0*j**4 + 4*j**4 + 68*j**3 + 2*j**g - 62*j**3.
2*j**2*(j + 1)*(2*j + 1)
Factor 14*c**2 + 25*c**2 - 52*c - 16*c**2 + 50 - 21*c**2.
2*(c - 25)*(c - 1)
Let a be (-34)/(-153) + (-4)/18. Let q(k) be the second derivative of 1/9*k**3 - 1/90*k**5 - 5*k - 2/9*k**2 + a*k**4 + 0. Let q(u) = 0. What is u?
-2, 1
Suppose -30 + 33 + 16 + 15 + 18*l - 2*l**2 + 38 = 0. What is l?
-3, 12
Let a(m) be the second derivative of m**6/720 - m**5/60 + m**4/12 - 8*m**3/3 - 18*m. Let q(f) be the second derivative of a(f). Determine h so that q(h) = 0.
2
Let w = 3628 - 1468. Let r be (6/5)/(12/w). Let -108*f**2 - f**3 - 2*f**3 + 24*f**3 - 162 + 3*f**3 - 2*f**4 + r*f = 0. What is f?
3
Let z(b) = -4*b + 77. Let x be z(17). Let c(m) = -4*m**2 + 38*m - 16. Let a be c(x). Find h, given that 4/9*h + 2/9 + 2/9*h**a = 0.
-1
Let j(y) be the first derivative of -2*y**5/45 - 5*y**4/18 + 26*y**3/27 - 7*y**2/9 - 183. Factor j(m).
-2*m*(m - 1)**2*(m + 7)/9
Let x = 3/940 - -58/235. Factor 1/8*t**2 + 0 - x*t.
t*(t - 2)/8
Let c(u) be the first derivative of u**7/4200 - u**6/360 + 7*u**5/600 - u**4/40 - u**3/3 - 28. Let p(a) be the third derivative of c(a). Factor p(y).
(y - 3)*(y - 1)**2/5
Let q(v) = 2*v**2 + 6*v - 5. Let w be 1 - ((-2 - -1) + 4). Let u(f) = f**2 + 5*f - 4. Let h(i) = w*q(i) + 3*u(i). Factor h(x).
-(x - 2)*(x - 1)
Let j(l) = -l**3 - 6*l**2 + 3*l - 6. Let u be j(-7). Suppose 7 - 8 - 2*p**4 - 8*p**3 - 17 - 6*p**4 + u*p**2 + 12*p = 0. Calculate p.
-3/2, 1
Let x(c) be the third derivative of c**5/15 - 11*c**4/12 - 2*c**3 + 120*c**2. Factor x(g).
2*(g - 6)*(2*g + 1)
Let c(d) be the second derivative of d**5/140 - d**4/14 - 5*d**3/14 - 25*d**2/2 - 23*d. Let v(s) be the first derivative of c(s). Solve v(y) = 0.
-1, 5
Let p(j) be the first derivative of -j**7/210 + j**5/20 - j**4/12 - 4*j**2 + 30. Let a(o) be the second derivative of p(o). Solve a(f) = 0.
-2, 0, 1
Let i(c) = -2*c**2 + 9*c - 2. Let j(b) = b. Let g(u) = -i(u) + 3*j(u). Let l be g(3). Let -2/7*o**l + 6/7 + 4/7*o = 0. Calculate o.
-1, 3
Factor -104/3*s + 20*s**2 - 32/3.
4*(s - 2)*(15*s + 4)/3
Let o(h) be the first derivative of 14 + 0*h**2 + h**3 - 3/4*h**4 + 0*h. Let o(z) = 0. What is z?
0, 1
Let o(a) be the third derivative of -a**7/105 - 3*a**6/20 - a**5/2 + 25*a**4/12 + 2*a**2 - 3. Solve o(q) = 0 for q.
-5, 0, 1
Let u = 120 - 117. Suppose 9 = 4*k - k. Factor n**2 - k*n**3 + 4*n**4 - u*n - 7*n**2 - 3*n**2 + n.
n*(n - 2)*(n + 1)*(4*n + 1)
Let u(c) be the third derivative of -15*c**2 + 3/70*c**5 + 9/56*c**4 + 0*c**3 + 1/280*c**6 + 0*c + 0. What is l in u(l) = 0?
-3, 0
Suppose -289 = 5*l - 1134. Let y = 171 - l. Find q such that 2/9*q**y + 2/9*q**3 + 0 - 2/9*q**4 + 0*q - 2/9*q**5 = 0.
-1, 0, 1
Let t = -2/1921 + 5773/9605. Suppose 0*x - 12 = -4*x. Suppose 1/5*h**5 - 3/5*h**4 + 0 + 0*h - 1/5*h**2 + t*h**x = 0. What is h?
0, 1
Suppose -2/7*p**4 + 0*p**2 + 2/7*p**5 + 0*p + 0 - 12/7*p**3 = 0. Calculate p.
-2, 0, 3
Let j = -18 - -3. Let p be (1 - 0) + (11 - j). Factor 4*f**2 - 27*f - 4*f**3 + p*f.
-4*f**2*(f - 1)
Let b(x) be the first derivative of 8*x - 12 - x**4 - 10*x**2 + 16/3*x**3. Factor b(z).
-4*(z - 2)*(z - 1)**2
Let s(u) = 3*u - 7*u**3 + 29*u**4 + u + 5*u**2 - 28*u**4. Let g(o) = -2*o**4 + 8*o**3 - 6*o**2 - 4*o. Let p(f) = -3*g(f) - 4*s(f). Factor p(i).
2*i*(i - 1)*(i + 1)*(i + 2)
Let i(t) be the first derivative of -3*t**4/4 + 13*t**3 - 48*t**2 + 60*t + 187. Determine v, given that i(v) = 0.
1, 2, 10
Suppose 0 = -3*x - d + 2, -26*x + 27*x - d = -2. What is y in -1/6*y**5 + 2/3*y**4 - 1/2*y**3 + 0 + 0*y**2 + x*y = 0?
0, 1, 3
Let p(b) be the first derivative of b**6/270 - b**5/30 - b**4/18 + 5*b**3/27 - 6*b**2 + 42. Let k(c) be the second derivative of p(c). Let k(s) = 0. What is s?
-1, 1/2, 5
Let f = -122/3 - -41. Let n be ((-2)/(-5))/(4/40*12). Determine d so that n*d**2 - 1/3*d**3 + f*d - 1/3*d**4 + 0 = 0.
-1, 0, 1
Let o(b) be the third derivative of 1/60*b**6 - 6*b**2 - 1/20*b**5 + 0*b**3 + 0 + 0*b**4 - 1/630*b**7 + 0*b. Factor o(h).
-h**2*(h - 3)**2/3
Let f be -9*(5 + (-5416)/1080). Let r(s) be the third derivative of 0 + 0*s**3 + 1/6*s**4 + f*s**5 + 0*s + 1/30*s**6 - 7*s**2. What is x in r(x) = 0?
-1, 0
Let q = -26 + 9. Let h = q + 21. Solve -94*x**5 - 4*x**2 + 6*x**3 + 95*x**5 + 0*x**3 + x - h*x**4 = 0 for x.
0, 1
Suppose 1/7*o**5 + 0 - 96/7*o**2 - 92/7*o**3 - 20/7*o**4 + 0*o = 0. Calculate o.
-2, 0, 24
Let w = 11800 + -71009/6. Let o = w + 35. Factor -1/6*b**3 + 1/6*b + 1/6*b**2 - o*b**4 + 0.
-b*(b - 1)*(b + 1)**2/6
Factor -61*b + 19*b - 27*b**2 - 30*b**3 + 85*b**2 + 10 + 14*b**4 - 10*b**4.
2*(b - 5)*(b - 1)**2*(2*b - 1)
Let i(q) = -2*q**2 - 14*q - 18. Let f(y) = 7*y**2 + 58*y + 73. Let g(h) = -6*f(h) - 22*i(h). Suppose g(c) = 0. Calculate c.
-1, 21
Suppose 0 = 5*z - 2*v - 12 + 2, -4*z + 20 = -4*v. Let b = 166/875 - -12/125. Let -b*i**4 + 1/7*i + z*i**3 + 0 + 2/7*i**2 - 1/7*i**5 = 0. What is i?
-1, 0, 1
Let p(y) be the first derivative of -4/3*y + 5/18*y**4 - 19/9*y**2 - 16/27*y**3 + 6. Factor p(t).
2*(t - 3)*(t + 1)*(5*t + 2)/9
Let g(m) be the first derivative of m**4/3 - 4*m**3/3 + 2*m**2 - 13*m + 5. Let w(r) be the first derivative of g(r). Factor w(b).
4*(b - 1)**2
Let a = -624 + 630. Let d(m) be the third derivative of 1/10*m**5 - 1/3*m**3 + 0*m - a*m**2 + 0 + 1/6*m**4. Determine h so that d(h) = 0.
-1, 1/3
Let w(i) be the second derivative of i**4/84 + i**3/2 - 11*i**2/7 + 7*i. Factor w(a).
(a - 1)*(a + 22)/7
Let x(s) be the third derivative of 0*s**4 - 18*s**2 + 0 + 1/105*s**7 + 0*s - 1/30*s**6 + 1/168*s**8 + 0*s**3 + 0*s**5. Factor x(k).
2*k**3*(k - 1)*(k + 2)
Let h(y) be the third derivative of -y**6/60 - y**5/3 - 25*y**4/12 - 3*y**2 + 6*y. Factor h(f).
-2*f*(f + 5)**2
Let l(k) be the second derivative of -k**6/20 + k**4/2 + 8*k - 3. Factor l(z).
-3*z**2*(z - 2)*(z + 2)/2
Let t(r) be the first derivative of -r**8/5040 + r**6/1080 + 4*r**3 + 11. Let n(a) be the third derivative of t(a). Factor n(g).
-g**2*(g - 1)*(g + 1)/3
Let n be ((4 - 2) + 35)*1. Let c = n + -23. Factor 0*r**2 + 5*r - c*r + r + 4*r**2.
4*r*(r - 2)
Let f(t) = -867*t**5 - 657*t**4 + 192*t**3 - 24*t**2 - 6*t + 6. Let u(d) = d**4 - 2*d**2 - d + 1. Let a(k) = -f(k) + 6*u(k). Solve a(m) = 0 for m.
-1, 0, 2/17
Let u(p) = 70*p**5 - 90*p**4 + 34*p**3 + 14. Let a(r) = -14*r**5 + 18*r**4 - 7*r**3 - 3. Let s = 5 - -9. Let c(j) = s*a(j) + 3*u(j). Factor c(q).
2*q**3*(q - 1)*(7*q - 2)
Let r = -3352/5 + 12316/15. Let z = r - 149. Determine p, given that -1/3*p**3 + 0 - z*p**4 + 0*p - p**5 + 1/3*p**2 = 0.
-1, 0, 1/3
Let t(n) be the second derivative of -29*n + 0 - 5/22*n**4 - 4/11*n**2 + 7/110*n**5 - 1/165*n**6 + 13/33*n**3. Solve t(r) = 0.
1, 4
Determine u, given that 9 + 96*u**3 + 7*u**2 - 6*u + 3*u**4 - 90*u**3 - 19*u**2 = 0.
-3, -1, 1
Suppose -6*c**4 - 400*c**3 - 375*c**3 + 747*c**3 - 8*c + 8 - 38*c**2 = 0. What is c?
-2, -1, 1/3
Let r(g) be the second derivative of g**5/70 + 3*g**4/14 + 26*g**3/21 + 24*g**2/7 + 64*g. Factor r(p).
2*(p + 2)*(p + 3)*(p + 4)/7
Find j, given that 14 - 445*j + 412*j + 22 - 3*j**2 = 0.
-12, 1
Factor -30*y - 3*y**3 - 6*y - 27*y**2 + 12*y.
-3*y*(y + 1)*(y + 8)
Let h(t) = -30*t**3 - 40*t**2 - 15*t. Let a(j) = -j**4 + 31*j**3 + 41*j**2 + 15*j. Let i be (2 + 1)/((-4)/8). Let d(r) = i*h(r) - 5*a(r). Factor d(y).
5*y*(y + 1)**2*(y + 3)
Factor -18 + 204*s + 111/2*s**3 + 435/2*s**2.
3*(s + 2)**2*(37*s - 3)/2
Let q(x) be the first derivative of -2*x**5/15 - 13*x**4/12 + 8*x**3/9 + 7*x**2/6 + 160. Factor q(u).
-u*(u - 1)*(u + 7)*(2*u + 1)/3
Factor 24*x**2 - 6*x**3 - 15*x**3 - 15*x**2 + 27*x**2 + 3*x**4.
3*x**2*(x - 4)*(x - 3)
Let r(o) be the first derivative of -4*o**3/3 - 262*o**2 - 681. Solve r(d) = 0 for d.
-131, 0
Let p be 10/8 - (11 + (-12 - -2)). Factor 1/2*u**2 - 1/4*u + 0 - p*u**3.
-u*(u - 1)**2/4
Let g(u) be the third derivative of u**6/24 + u**5/12 - 7*u**4/12 - 2*u**3/3 + 23*u**2. Let t(m) = m + 1. Let k(a) = g(a) + 4*t(a). Find x such that k(x) = 0.
-2, 0, 1
Let x = 215 - 212. Let i(h) be the third derivative of 1/180*h**6 + 0*h + 0*h**x - 5*h**2 + 0*h**5 + 0 - 1/36*h**4. Factor i(j).
2*j*(j - 1)*(j + 1)/3
Suppose d - 4*x = 19, 3*d = -x + 5 + 26. Factor -2*k**2 + d*k**5 - 14*k**5 + 3*k + 6*k**4 - 4*k**2.
-3*k*(k - 1)**3*(k + 1)
Let i = -1373 + 1379. Let d(t) be 