*h**5 + 2*h + 0*h**3. Find t, given that r(t) = 0.
-1, 0
Let r(t) = 137*t**2 + 129*t - 2. Let z(s) = -688*s**2 - 645*s + 10. Let n(q) = 11*r(q) + 2*z(q). Factor n(f).
(f + 1)*(131*f - 2)
Let i(x) be the second derivative of x**4/66 - 14*x**3/33 - 32*x**2/11 + 4*x + 1. Let i(l) = 0. Calculate l.
-2, 16
Let m(j) = 50*j + 154. Let h be m(-3). Let b(c) be the first derivative of -6 + c - 3/2*c**2 - 1/4*c**h + c**3. Let b(q) = 0. Calculate q.
1
Let f(d) be the first derivative of -3*d**5/20 - d**4/4 + 7*d**3/12 + d**2/2 - d + 77. Determine h, given that f(h) = 0.
-2, -1, 2/3, 1
Let p(d) = -d**3 + 16*d**2 - 8*d - 33. Let c be p(15). Factor -48*x + c + 23 + 49 + 4*x**2.
4*(x - 6)**2
Suppose 0 = -4*z + 4*z + 3*z. Suppose -4*t - 2*v + 16 = z, 2*v - 8 = -2*t + 2. Solve -2*p**t + 0 + 0*p + 2/5*p**2 = 0 for p.
0, 1/5
Let s = 437 + -433. Find j such that -5*j**3 + 5*j**s - 10*j**2 + 5/2*j + 5 + 5/2*j**5 = 0.
-2, -1, 1
Let b = 1/671 + 668/2013. Factor -b*j**2 + 0 + 2/3*j.
-j*(j - 2)/3
Let n be (720/(-192))/(6/32 - 0). Let a be (3 + -3)/(n/4 + 4). Factor a*g + 1/3*g**5 + 1/3*g**3 + 0*g**2 - 2/3*g**4 + 0.
g**3*(g - 1)**2/3
Let f(c) be the second derivative of -1/3*c**3 - 1/10*c**6 - 12*c + 0*c**2 - 1/4*c**4 + 2/5*c**5 + 0. Factor f(h).
-h*(h - 2)*(h - 1)*(3*h + 1)
Let i(m) be the third derivative of -m**8/30240 + m**7/3780 + m**6/360 + 23*m**5/60 - 36*m**2. Let x(d) be the third derivative of i(d). Factor x(k).
-2*(k - 3)*(k + 1)/3
Let r(h) = -2*h**5 + 2*h**4 - 2*h**3 - 4*h**2. Let b(w) = 6*w**5 - 5*w**4 + 7*w**3 + 12*w**2 + w. Let f = -65 - -72. Let y(j) = f*r(j) + 2*b(j). Factor y(q).
-2*q*(q - 1)**3*(q + 1)
Let a be -11*(-4 - (-168)/44). Factor -9/2*k + 3/2*k**a + 3.
3*(k - 2)*(k - 1)/2
Suppose -4*w + 7 = g - 1, 0 = -3*w + g + 6. Suppose -3*t = -10*t. Factor t*c**2 + 2/3*c**4 + 8/3*c + 0 - w*c**3.
2*c*(c - 2)**2*(c + 1)/3
Let a(h) = 10*h**3 + 20*h**2 + 24*h - 18. Let t(p) = p**3 + p**2 + 2. Let v(f) = -2*a(f) + 18*t(f). Factor v(o).
-2*(o - 1)*(o + 6)**2
Let b(r) be the first derivative of r**6/240 - 3*r**5/40 + 5*r**4/16 - 11*r**3/3 - 17. Let k(h) be the third derivative of b(h). Factor k(w).
3*(w - 5)*(w - 1)/2
Let d(g) be the first derivative of -2 - 4/3*g**4 + 8/3*g**3 + 7/2*g**2 + 1/3*g**5 - 1/30*g**6 + 0*g. Let x(q) be the second derivative of d(q). Factor x(w).
-4*(w - 2)**2*(w - 1)
Let d(n) = -n**2 - 7*n + 4. Let w be d(-8). Let s be 30/(-24) + (-5)/w. Factor 0 - 2/3*y + 2/3*y**3 + s*y**2.
2*y*(y - 1)*(y + 1)/3
Suppose 0 + 90*l + 4 - 180*l**3 + 25*l**2 + 90*l**5 + 1 - 35*l**2 + 5*l**4 = 0. What is l?
-1, -1/18, 1
Let g(y) = -24*y**4 - 427*y**3 - 298*y**2 + 109*y + 4. Let u(s) = 71*s**4 + 1283*s**3 + 897*s**2 - 326*s - 11. Let j(q) = 11*g(q) + 4*u(q). Factor j(w).
5*w*(w + 1)*(w + 21)*(4*w - 1)
Let o(i) = i**2 - 11*i + 5. Let r be o(11). Suppose 9*f = 4*f + r. Factor 159*n + n - 98*n**3 - 238*n**2 - f - 19 - 4.
-2*(n + 3)*(7*n - 2)**2
Let w(c) be the first derivative of 2*c**3/21 + 48*c**2/7 - 14*c - 395. Let w(q) = 0. What is q?
-49, 1
Factor 4*s + 1/2 + 7/2*s**2.
(s + 1)*(7*s + 1)/2
Let i(w) be the first derivative of 14 - 1/3*w**2 + 2*w + 1/6*w**4 - 2/3*w**3. Factor i(x).
2*(x - 3)*(x - 1)*(x + 1)/3
Let p(a) be the second derivative of 215*a**4/3 + 2*a**3/3 + a + 26. Determine d so that p(d) = 0.
-1/215, 0
Let o = 391 + -12901/33. Let l(t) be the first derivative of 0*t + 2/55*t**5 - 7 + 0*t**2 - 1/22*t**4 + 1/33*t**6 - o*t**3. Factor l(r).
2*r**2*(r - 1)*(r + 1)**2/11
Suppose 5*z + 10 = -2*u, 3*z + 0 = 5*u - 6. Let d be 4 + (-4 + 4 - u). Factor 10*l**2 + l**d - 5 + 0 - l**4 - 5*l**4.
-5*(l - 1)**2*(l + 1)**2
Factor 64/3*v + 56/9*v**2 + 0 + 4/9*v**3.
4*v*(v + 6)*(v + 8)/9
Let j(u) = -u - 17*u**2 + u**3 + 9*u**2 + 6*u**2. Let i(v) = -v**3 + 3*v**2 - 1. Let m(l) = -4*i(l) - 6*j(l). Suppose m(r) = 0. What is r?
-1, 2
Solve 4/3*f**5 - 16/3 - 8/3*f**2 + 8*f**4 + 32/3*f**3 - 12*f = 0 for f.
-4, -1, 1
Let j be ((2 - 0)/(11/(-22)))/(-2). Let i(s) be the first derivative of -4/9*s - 25/27*s**3 - 10/9*s**j + 8. Factor i(a).
-(5*a + 2)**2/9
Let a(h) be the second derivative of -2*h**6/15 + 4*h**5/5 - h**4 - 8*h**3/3 + 8*h**2 - 65*h. Factor a(r).
-4*(r - 2)**2*(r - 1)*(r + 1)
Suppose j + 9 = 4*f, j - 1 = -2*f + 2. Suppose 4*a = f*a - 0*a. Factor 14/3*n**2 + a + 4/3*n.
2*n*(7*n + 2)/3
Let t be (35/(-15))/7*-9. Let f(o) = -o**4 - o**3 + o**2 - 1. Let d(u) = 2*u**3 + 2*u**2 - 5*u + 3. Let y(w) = t*d(w) + 3*f(w). What is z in y(z) = 0?
-2, 1
Let m(p) be the second derivative of -p**4/4 + p**3/2 + 4*p. Let d(n) = 2*n**2 - 2*n. Let v(c) = 7*d(c) + 5*m(c). Factor v(t).
-t*(t - 1)
Let s(t) = t**2 + t - 1. Let r(f) = 4*f**3 + 8*f**2 - f - 1. Let m(i) = i**3 + 19*i**2 + 47*i - 11. Let u be m(-16). Let a(g) = u*r(g) - 5*s(g). Factor a(o).
5*o*(o + 2)*(4*o - 1)
Let l(d) = 2*d + 7. Let m be l(-5). Let i = m + 5. Factor -5*u**2 + 4*u**i + u**4 - 2*u + 2*u**3 + 0*u**2.
u*(u - 1)*(u + 1)*(u + 2)
Suppose -5*l + 20 = 2*g, -5*g + 27 = -3*l + 4*l. Factor 2*h - l*h + h**2 - h.
h*(h - 1)
Let z(l) = -317*l**2 + 108*l - 9. Let w(m) = -211*m**2 + 72*m - 6. Let a(u) = 7*w(u) - 5*z(u). Determine t, given that a(t) = 0.
1/6
Let q be (-12 + (0 - 3))/((-1)/1). Suppose -q = -4*d - 0*w + 3*w, 5*d - 2*w - 10 = 0. Factor -1/4*v**3 + d*v - 1/8*v**4 + 0 + 0*v**2.
-v**3*(v + 2)/8
Let g(m) be the third derivative of -m**7/2520 + m**5/120 - 3*m**4/4 + 8*m**2. Let u(x) be the second derivative of g(x). Solve u(j) = 0.
-1, 1
Let g(w) be the first derivative of w**3 + 0*w**2 + 4 - 3/4*w**4 + 0*w - 3/5*w**5 + 1/2*w**6. Factor g(o).
3*o**2*(o - 1)**2*(o + 1)
Let y = 176156/7 - 25165. Factor 0 - y*a**2 + 5/7*a.
-a*(a - 5)/7
Factor -174*o**3 - 36*o - 16 + 107*o - 180*o**2 + 41*o + 62*o**3 + 196*o**4.
4*(o - 1)*(o + 1)*(7*o - 2)**2
Let r = -95 + 155. Suppose -n + 5*n - r = 0. Solve -4 - 5*k**2 + 11 - 7 - n*k = 0 for k.
-3, 0
Let h be (-654)/18 + 18 + 20. Suppose -40/3*t**2 - 5*t**3 + h*t**5 + 10/3*t**4 + 0 - 20/3*t = 0. What is t?
-2, -1, 0, 2
Let f(r) = -r**3 - r**2 - r - 1. Let n be f(-2). Suppose -5 - 5 = -n*d. Suppose 12*k**5 - 2*k**d + 21*k**4 + 15*k**3 - 3*k**4 + 5*k**2 + 6*k**4 = 0. What is k?
-1, -1/2, 0
Factor -17/4*a**2 + 17/4*a + 7/4*a**3 - 1/4*a**4 - 3/2.
-(a - 3)*(a - 2)*(a - 1)**2/4
Let f be (228/(-1368))/(-2*4/64). Factor 1/3 - 1/3*h**2 - 4/3*h**3 + f*h.
-(h - 1)*(h + 1)*(4*h + 1)/3
Suppose -5*t + 2*t = -15. Suppose -3*w = 4*x - x - 549, 25 = t*w. Let 225*y**4 + x*y**3 + 77*y**3 + 97*y**2 - y**2 + 12*y = 0. Calculate y.
-2/5, -1/3, 0
Let n(v) be the third derivative of 1/60*v**5 + 0*v + 0 - 5*v**2 - 1/12*v**4 - 1/2*v**3. Find k, given that n(k) = 0.
-1, 3
Let w = -1319 - -1321. Let h(x) be the first derivative of -3/7*x - 9/14*x**w + 13 - 3/7*x**3 - 3/28*x**4. Factor h(z).
-3*(z + 1)**3/7
Let f(i) be the third derivative of -i**8/4032 + i**7/504 - i**6/144 + i**5/60 - 17*i**2. Let t(a) be the third derivative of f(a). What is p in t(p) = 0?
1
Let u = 3897/4 - 97409/100. Find s such that 0*s**3 + 2/25*s + u*s**4 + 0 - 2/25*s**5 - 4/25*s**2 = 0.
-1, 0, 1
Let u(d) be the second derivative of d**6/1080 + d**5/60 + d**4/9 - d**3/2 + 18*d. Let v(n) be the second derivative of u(n). Factor v(a).
(a + 2)*(a + 4)/3
Let m(f) = -f**3 - f**2 - 3*f - 5. Let r(c) = -2*c**2 - 4*c - 6. Let p(b) = 2*b. Let y be p(3). Let j(w) = y*m(w) - 5*r(w). Factor j(i).
-2*i*(i - 1)*(3*i + 1)
Let n(y) be the third derivative of y**5/15 + 116*y**4/3 + 26912*y**3/3 + 87*y**2 - y. Factor n(t).
4*(t + 116)**2
Let s(a) = -4*a**3 + 666*a**2 + 73920*a + 2735265. Let h(z) = -30*z**3 + 4662*z**2 + 517438*z + 19146856. Let k(w) = -6*h(w) + 44*s(w). Solve k(g) = 0.
-111
Find r, given that 10*r - 57*r**2 + 11*r - 66*r + 27*r**3 + 60 + 18*r - 3*r**4 = 0.
-1, 1, 4, 5
Let f be 26/4 + (2 - (-7)/(-2)). Factor -2/3*o**2 + 6*o**f + 0*o + 0 + 14/3*o**3 - 10*o**4.
2*o**2*(o - 1)*(3*o - 1)**2/3
Suppose 0*n - 2*d + 306 = 3*n, 3*n - 2*d = 294. Let c be 2/(-8) + 45/n. Factor 1/5*u - c*u**2 - 1/5*u**3 + 1/5.
-(u - 1)*(u + 1)**2/5
Let s(r) be the second derivative of -r**4/20 + 69*r**3/5 - 14283*r**2/10 - 660*r. Suppose s(a) = 0. What is a?
69
Let b = -1607 + 1610. Suppose 3*g - h - 9 = 0, -5*h = -5*g - 3 + 28. Find t such that 2 - t**4 + 3*t**g - t + t**b - 6 + 2 = 0.
-1, 1, 2
Let w(g) be the second derivative of -3*g**5/20 - 13*g**4/4 + 7