*a + 130. Let d(w) = -14*x(w) + z(w). Let d(r) = 0. What is r?
2, 6
Suppose 28/9*u**3 - 32/3 - 118/9*u**2 + 188/9*u - 2/9*u**4 = 0. Calculate u.
1, 2, 3, 8
Let a(w) be the first derivative of w**4/4 + 11*w**3/3 + 14*w**2 + 4*w - 36. Let u be a(-7). Factor -u*p - 1/2*p**2 - 8.
-(p + 4)**2/2
Let b = 2243 - 2240. Factor b*h**2 - 23/2*h**3 + 14*h + 7/2*h**4 - 4.
(h - 2)**2*(h + 1)*(7*h - 2)/2
Factor -8*g + 10*g**2 - 6*g**2 - 4 + 16*g - 9 + 1.
4*(g - 1)*(g + 3)
Let r(f) be the first derivative of 0*f**2 + 0*f + 23 - 1/3*f**3 + 1/5*f**5 + 0*f**4. Find y such that r(y) = 0.
-1, 0, 1
Let f(a) be the third derivative of -5*a**8/336 - a**7/7 - a**6/4 + 4*a**5/3 + 25*a**4/8 - 15*a**3 + 52*a**2 + 2*a. Determine b so that f(b) = 0.
-3, -2, 1
Let f(x) = -x**2 - 34*x - 187. Let p be f(-7). Factor -1/2*j + 1/2*j**3 - 1/2*j**p + 1/2.
(j - 1)**2*(j + 1)/2
Let -1/6*f**2 + 10/3*f - 50/3 = 0. What is f?
10
Let u(y) be the third derivative of -y**8/171360 + y**7/14280 - y**5/30 - 11*y**2. Let q(a) be the third derivative of u(a). Factor q(d).
-2*d*(d - 3)/17
Factor -143*o**4 - o**3 - 148*o**4 + 3*o**3 + 293*o**4 - 18*o - 18*o**2.
2*o*(o - 3)*(o + 1)*(o + 3)
Let q(i) = i**4 + i**3 + i**2 - i. Let w(o) = -12*o**4 + 6*o**3 + 15*o**2 + 15*o. Let r(a) = 15*q(a) + w(a). Factor r(x).
3*x**2*(x + 2)*(x + 5)
Suppose -5*p - 503 = -513. Factor 16/5 - 12/5*i**p + 2/5*i**4 - 2/5*i**3 + 8/5*i.
2*(i - 2)**2*(i + 1)*(i + 2)/5
Let l(t) be the third derivative of -t**7/1050 + t**6/150 + t**5/300 - 2*t**4/15 + 2*t**3/5 - 87*t**2 + 2. Determine c so that l(c) = 0.
-2, 1, 2, 3
Let z(x) be the first derivative of -14/27*x**3 + 0*x**2 - 1/27*x**6 - 5 + 1/18*x**4 + 2/15*x**5 + 8/9*x. Solve z(c) = 0 for c.
-1, 1, 2
Let v(p) be the second derivative of -p**7/42 - p**6/30 + p**5/20 + p**4/12 - 2*p - 19. Solve v(s) = 0.
-1, 0, 1
Let s = 56/341 + 6/341. Factor 2/11*k + 0*k**2 + 0 - s*k**3.
-2*k*(k - 1)*(k + 1)/11
Let d(i) = i**2 + i. Let t = -31 - -32. Let v(u) = -5*u**2 - u. Let k(s) = t*d(s) + v(s). Let k(a) = 0. What is a?
0
Let l(r) be the first derivative of -1/20*r**5 - 1/2*r**4 - 2*r**3 - 4*r**2 - 10*r + 4. Let b(u) be the first derivative of l(u). What is k in b(k) = 0?
-2
Let g(w) be the first derivative of 3*w**4/4 - 16*w**3 + 165*w**2/2 + 63. Factor g(d).
3*d*(d - 11)*(d - 5)
Let x(m) be the third derivative of -m**9/9072 + m**8/2520 - m**6/540 + m**5/360 - 11*m**3/6 + 5*m**2. Let w(b) be the first derivative of x(b). Factor w(l).
-l*(l - 1)**3*(l + 1)/3
Let i = 21 - 21. Suppose -4*k - l = -i*l, -3*k = -5*l. Factor k*w + 5*w + 2*w**2 - 9*w.
2*w*(w - 2)
Let u(s) be the third derivative of 0*s**3 + 0*s**7 - 1/588*s**8 + 0 - 12*s**2 + 0*s + 1/210*s**6 + 0*s**5 + 0*s**4. Factor u(k).
-4*k**3*(k - 1)*(k + 1)/7
Suppose 2 = 2*o, 7 = 5*f - 3*f + o. Suppose 4*n - 73 = f*n. Solve 4*d + 5*d**3 - n*d**2 + d + 63*d**2 = 0.
0, 1
Let f(l) = -35*l**3 + 40*l**2 - 35*l + 15. Let v(u) = -9*u**3 + 10*u**2 - 9*u + 4. Let m be (-3 - 6/(-2)) + 4/1. Let y(r) = m*f(r) - 15*v(r). Factor y(g).
-5*g*(g - 1)**2
Let -54/7 - 51/7*o**2 + 171/7*o = 0. What is o?
6/17, 3
Let p(a) be the first derivative of 3*a**5/35 + 19*a**4/28 + 31*a**3/21 - 3*a**2/14 - 18*a/7 - 16. Factor p(k).
(k + 1)*(k + 3)**2*(3*k - 2)/7
Let l = -731/8 + 90. Let m = l + 15/8. Factor -1/2 + m*x**2 - 1/2*x + 1/2*x**3.
(x - 1)*(x + 1)**2/2
Let v(t) = 4*t**3 - t + 1. Let x(f) = -13*f**3 + 17*f**2 + 4*f - 20. Let s(r) = -3*v(r) - x(r). Factor s(o).
(o - 17)*(o - 1)*(o + 1)
Let p(i) be the first derivative of 1/21*i**3 - 1/42*i**4 - 1/70*i**5 + i + 1/7*i**2 - 2. Let x(s) be the first derivative of p(s). Let x(j) = 0. What is j?
-1, 1
Let b = -1038 - -1038. Factor b - 4/11*s**2 + 2/11*s + 2/11*s**3.
2*s*(s - 1)**2/11
Let a be (-52)/(-5) - (396/(-60) - -7). Suppose -a*x = -13*x. Suppose k**3 + 0 + x*k**2 + 0*k - k**4 + 1/4*k**5 = 0. What is k?
0, 2
Let y(u) be the first derivative of 0*u**3 + 1/16*u**4 + 0*u - 1/40*u**5 + 3/2*u**2 - 2. Let g(l) be the second derivative of y(l). Factor g(q).
-3*q*(q - 1)/2
Factor -41*r + 2*r**2 - 47*r - 67 - 6 - 9 + 8*r.
2*(r - 41)*(r + 1)
Let d(h) be the third derivative of -h**5/90 - h**4/18 + 8*h**3/3 + 177*h**2. Factor d(y).
-2*(y - 4)*(y + 6)/3
Let v be 3 + 2/(0 - 2). Solve -p**3 - 11*p - 2*p - v*p + 12*p**5 - 33*p**4 + 4*p**3 - 6 + 39*p**2 = 0 for p.
-1, -1/4, 1, 2
Factor -1/2*h**4 - 11/2*h**3 + 0*h**2 + 0 + 0*h.
-h**3*(h + 11)/2
Let c(n) be the third derivative of n**5/270 + 7*n**4/108 - n**2 + 63*n. Suppose c(x) = 0. Calculate x.
-7, 0
Determine g so that 8/3*g**3 - 1/2 - 28/3*g**2 + 25/6*g = 0.
1/4, 3
Let c(p) be the first derivative of p**6/1800 + p**5/300 + p**4/120 + p**3 - 19. Let d(x) be the third derivative of c(x). Factor d(r).
(r + 1)**2/5
Let i(v) = -v - 5. Let j be i(-7). Let q be j*(1 - 2/(-4)). Factor 2*n**5 + 0*n**2 + 8*n**2 - n**3 - 2*n**4 - n**q - 6*n**2.
2*n**2*(n - 1)**2*(n + 1)
Let y(c) be the third derivative of 3*c**7/280 - 21*c**6/80 - 11*c**5/20 - 67*c**4/144 - 5*c**3/24 - 109*c**2. Suppose y(u) = 0. What is u?
-1/3, 15
Suppose 8*y = 3*y. Let w = y - -2/3. Solve -w*l**4 + 0*l + 2/3*l**2 - 2/3*l**3 + 0 + 2/3*l**5 = 0 for l.
-1, 0, 1
Let y be 1/((-1)/(-4)*-4). Let t be 16/(-6) + (4 - y). Determine u so that -1/3*u**3 - 8/3*u + 16/3 - t*u**2 = 0.
-4, 1
Let j(v) be the second derivative of 0 + 5*v**2 + 5/2*v**3 + 16*v + 5/12*v**4. Suppose j(t) = 0. What is t?
-2, -1
Let r = -9 + 8. Let z(s) = 1 + s**2 + 26*s - 10*s - 17*s. Let v(p) = p**2 - 2*p + 2. Let f(m) = r*v(m) + 2*z(m). Solve f(d) = 0 for d.
0
Let y(f) = f**2 + 5*f + 1. Let n be y(-5). Suppose -3*p - n = -52. Factor -9*v - 51*v**3 + 6*v**3 + 48*v**2 - 6 - 5*v**4 + p*v**4.
3*(v - 2)*(v - 1)**2*(4*v + 1)
Let n = 172 - 93. Let r = 239/3 - n. Factor 2/3*k**3 - 2/3*k**2 - 2/3*k + r.
2*(k - 1)**2*(k + 1)/3
Suppose 2*g = 4 + 6. Suppose -m + g - 2 = 0. Factor -h**2 - 2*h**4 - 3*h**4 - m*h**3 + 4*h**4 + 3*h + 2.
-(h - 1)*(h + 1)**2*(h + 2)
Suppose 3*j = f + 38, -16 = -4*j - f + 23. Suppose -q + g + 7 = -0*g, -3*q + g = -j. Factor 6/5 - 4/5*t - 2/5*t**q.
-2*(t - 1)*(t + 3)/5
Suppose -17*u + 15*u = -58. Suppose -3*h - u = -5*b - 1, 0 = -b + h + 6. What is l in 2/7*l**3 - 2/7*l**4 - 2/7*l**b + 0*l + 2/7*l**2 + 0 = 0?
-1, 0, 1
Let m(f) be the first derivative of -43 + 129/10*f**4 - 16*f**2 - 238/25*f**5 + 214/15*f**3 + 24/5*f - 49/15*f**6. Find s such that m(s) = 0.
-3, -1, 2/7, 1
Let u(s) = -2*s**3 - 4*s**2 - 3*s. Let n = 13 + -15. Let m be u(n). Let 36*q**2 - 6*q + m*q**3 + 9*q**4 + 3 - 23*q**3 - 13*q**3 - 12*q = 0. Calculate q.
1/3, 1
Let d(i) be the first derivative of i**6/36 + 7*i**5/15 + 29*i**4/12 + 10*i**3/9 - 275*i**2/12 - 125*i/3 - 49. Factor d(q).
(q - 2)*(q + 1)*(q + 5)**3/6
Let t = -76/227 + 3104/1135. Suppose 18/5*a + 4/5 + 32/5*a**2 + 28/5*a**3 + 2/5*a**5 + t*a**4 = 0. Calculate a.
-2, -1
Let z(b) be the third derivative of -b**8/294 - 4*b**7/147 - 11*b**6/140 - 2*b**5/21 - b**4/21 + 93*b**2. Let z(j) = 0. What is j?
-2, -1/2, 0
Let x(k) be the first derivative of 0*k**2 + 0*k + 1/14*k**4 - 10/21*k**3 - 3. Determine d, given that x(d) = 0.
0, 5
Let w = -11 - -35. Suppose 2*k = -4*f + w, 3*f - 3*k = -0*k. Find l, given that 2*l**f - 4*l**4 + 2*l**2 - 5*l**5 + 6*l**5 + 0*l**5 - l = 0.
-1, 0, 1
Let n = 216 - 1295/6. Let s(b) be the first derivative of 0*b**2 - n*b**3 + 1 + 0*b**4 + 1/4*b + 1/20*b**5. Solve s(m) = 0 for m.
-1, 1
Let n(l) = -2*l - 2. Let a be n(-3). Let w be a + 0 + 8/(-4). Factor w*p**2 - 6*p**2 + 23*p**3 - 12*p**4 - 7*p**3.
-4*p**2*(p - 1)*(3*p - 1)
Let v(m) be the second derivative of -m**5/100 - m**4/15 - m**3/10 - 27*m + 1. Factor v(b).
-b*(b + 1)*(b + 3)/5
Let x be ((-198)/4)/(-33)*(-4)/(-3). Factor -16/5*w - 8/5 - 2/5*w**3 - 2*w**x.
-2*(w + 1)*(w + 2)**2/5
Let 58*t**3 + 82*t - 106*t**2 + t**5 + 3*t + 0 + 0*t**5 - 13*t**4 - 25 = 0. Calculate t.
1, 5
Let a = 116 + -111. Let o be 115/(-276)*(-3)/a. Find t such that -1/4 - 3/4*t**2 - 3/4*t - o*t**3 = 0.
-1
Solve -11*h**4 - 248*h + 64 - 7*h**4 + 286*h**2 - 61*h**3 + 18*h**2 - 41*h**3 = 0.
-8, 2/3, 1
Let c(a) = a**3 + a**2 - 21*a - 11. Let y be c(-5). Let x be (y/(-81))/(29/(-6) + 5). Factor 0 + 2/3*g**4 + 0*g - 2/9*g**5 - x*g**3 + 0*g**2.
-2*g**3*(g - 2)*(g - 1)/9
Let a(m) be the third derivative of m**5/75 - 48*m**4/5 + 13824*m**3/5 + 710*m**2. Let a(r) = 0. Cal