 so that -130*w**2 + 133*w**2 - 4*w + 7*w = 0.
-1, 0
Suppose 3*x - 4*n = 4, 25 + 3 = 5*x + 4*n. Let v(y) be the first derivative of 2/3*y**3 - 3 - 1/18*y**x + 6*y - 3*y**2. Determine p, given that v(p) = 0.
3
Let j(k) be the third derivative of -k**5/30 + k**4/2 - 8*k**3/3 - 48*k**2. Factor j(v).
-2*(v - 4)*(v - 2)
Let l(y) = -478*y**2 - 1056*y - 582. Let q(i) = -2388*i**2 - 5280*i - 2912. Let x(v) = -16*l(v) + 3*q(v). Factor x(a).
4*(11*a + 12)**2
Let a = -29/1166 - -2477/5830. Factor -18/5 + a*z**3 + 2/5*z**2 - 18/5*z.
2*(z - 3)*(z + 1)*(z + 3)/5
Factor l + 4*l**4 + 29*l**3 - 33*l**3 - 4*l**2 + 3*l - 2*l**4 + 2*l**4.
4*l*(l - 1)**2*(l + 1)
Let a be -82 + -2 + 3/(-9)*-9. Let k = -159/2 - a. Suppose k*u**5 + 0*u**2 + 0*u**3 + 0 + 0*u - 3/2*u**4 = 0. Calculate u.
0, 1
What is x in -4*x**5 - 20/3*x**4 + 28/3*x**3 + 16/3 + 64/3*x + 28*x**2 = 0?
-1, -2/3, 2
Suppose 0 = 6*f + 88 - 4. Let d = -12 - f. Solve -15*u + 9*u - 3*u**2 + 7*u**d + 3*u**3 - u**2 = 0.
-2, 0, 1
Let f(p) be the third derivative of -p**6/60 - p**5/10 - p**4/6 + 94*p**2. What is a in f(a) = 0?
-2, -1, 0
Let s be (2 + (-11)/4)/(((-990)/(-24))/(-11)). Find p such that 0*p**3 + 1/5*p**5 - 2/5*p**4 - s*p + 2/5*p**2 + 0 = 0.
-1, 0, 1
Let o be 142/10 + 5/(-25). Let d = 2 + o. Factor 20*m**3 + 1 - 4*m**4 - 4 + d*m + 3 - 32*m**2.
-4*m*(m - 2)**2*(m - 1)
Let v(c) be the first derivative of c**5/3 + 3*c**4/2 + 17*c**3/9 - 4*c/3 - 63. What is u in v(u) = 0?
-2, -1, 2/5
Let m(h) be the first derivative of h**8/8400 - h**7/2100 + h**5/300 - h**4/120 + 8*h**3/3 - 17. Let y(j) be the third derivative of m(j). Factor y(r).
(r - 1)**3*(r + 1)/5
Let w be -22 + 1274/56 - (-258)/40. Find n such that -54/5 - 6/5*n**2 - w*n = 0.
-3
Let f be 34 + (3 - 2) + (-3 - 1). Let q = 35 - f. Suppose 2/3 - 2/3*k**q + 0*k**2 - 4/3*k**3 + 4/3*k = 0. Calculate k.
-1, 1
Let a be (-1)/2*2/(-4). Let v = -11289/14 + 5648/7. Determine d so that -v*d + a*d**2 + 1/4 = 0.
1
Find c, given that -7/2*c**2 - 3/2*c**3 + 7/2*c**4 + 0 + 5/2*c**5 - c = 0.
-1, -2/5, 0, 1
Let 0 + 0*c**3 + 0*c**2 + 0*c**4 + 3/7*c**5 + 0*c = 0. Calculate c.
0
Let u = 74/215 + 12/215. Factor -u*x**3 - 22/5*x**2 + 2/5*x**5 + 6/5*x**4 - 24/5*x - 8/5.
2*(x - 2)*(x + 1)**3*(x + 2)/5
Let p(w) be the second derivative of -2*w**6/165 - 9*w**5/110 - 5*w**4/33 - w**3/11 - w + 267. Suppose p(b) = 0. Calculate b.
-3, -1, -1/2, 0
Suppose 0 = 4*c - u + 50 - 199, -u + 79 = 2*c. Suppose c*n - 31*n = 0. Solve -5/6*o**2 + n + 1/6*o**4 + 1/6*o**5 - 1/3*o - 1/2*o**3 = 0.
-1, 0, 2
Let x(n) be the second derivative of 0 - 1/6*n**4 + 12*n**2 - n - 8/3*n**3 + 1/10*n**5. Solve x(j) = 0 for j.
-3, 2
Let o(g) be the first derivative of 1/8*g**4 - 1/2*g**3 - 5 + g - 1/4*g**2 + 1/10*g**5. Factor o(k).
(k - 1)**2*(k + 1)*(k + 2)/2
Let n(o) = -15*o**2 - 48*o + 84. Let i(h) = 7*h**2 + 23*h - 42. Let x(b) = -9*i(b) - 4*n(b). Let x(f) = 0. Calculate f.
-7, 2
Let q(t) be the second derivative of -7*t**4/24 + 2*t**3/3 - t**2/4 + t + 5. Factor q(f).
-(f - 1)*(7*f - 1)/2
Let i(x) be the first derivative of -x**5/60 + x**4/8 + 16*x**2 + 12. Let v(c) be the second derivative of i(c). Factor v(w).
-w*(w - 3)
Suppose -6*l - 5*l + 4*l = 0. Suppose -19*a + 50 - 12 = l. Suppose -4/11*g**3 - 6/11*g**a + 2/11*g**4 + 8/11*g + 8/11 = 0. Calculate g.
-1, 2
Factor -13*k**4 - 9*k - 31*k + 5*k**5 + 20*k**2 + 30*k**3 + 0*k**2 - 12*k**4.
5*k*(k - 2)**3*(k + 1)
Let w = -218 - -223. Let i(z) be the first derivative of 0*z - 2*z**2 + 8/3*z**6 + 9*z**4 + 44/5*z**w - 11 + 4/3*z**3. Determine h so that i(h) = 0.
-1, 0, 1/4
Let v(k) = 12*k**3 + 55*k**2 + 2*k - 32. Let j(t) = t**2 - 2*t. Let s(r) = 3*j(r) - v(r). Find w such that s(w) = 0.
-4, -1, 2/3
Let s(b) be the second derivative of b**8/1008 + b**7/630 - 9*b**2/2 + 17*b. Let d(j) be the first derivative of s(j). Suppose d(z) = 0. Calculate z.
-1, 0
Let q(r) be the third derivative of -5*r**2 + 35/8*r**4 + 0 + 5/112*r**8 - 37/10*r**5 + 0*r + 9/5*r**6 - 3*r**3 - 16/35*r**7. Factor q(i).
3*(i - 3)*(i - 1)**3*(5*i - 2)
Let c be (-16)/(-3) - (-1)/(-3). Suppose 2 + 3 = o. Factor l**c + l**3 - o*l + 2*l**4 + 5*l.
l**3*(l + 1)**2
Factor 2/5*u**3 + 6*u**2 + 46/5*u - 78/5.
2*(u - 1)*(u + 3)*(u + 13)/5
Factor -35/2*d**2 + 0*d - 1/2*d**3 + 0.
-d**2*(d + 35)/2
Let k(z) be the first derivative of 7*z**4/22 + 1348*z**3/33 + 16320*z**2/11 + 9216*z/11 + 262. Suppose k(n) = 0. Calculate n.
-48, -2/7
Let n(i) be the second derivative of 2*i**6/15 - i**5 - i**4 + 34*i**3/3 - 20*i**2 + 236*i. Factor n(o).
4*(o - 5)*(o - 1)**2*(o + 2)
Let w(m) = -m**3 - 4*m**2 + m - 20. Let o be w(-5). Suppose -3*k - 1 + 13 = z, o = 3*k + 3*z - 18. Let 3/7*j**2 - 1/7*j**k + 1/7 - 3/7*j = 0. What is j?
1
Let a(r) = -63*r**3 + 96*r**2 - 85*r + 13. Let q(l) = -10*l**3 + 16*l**2 - 14*l + 2. Let m(p) = 2*a(p) - 13*q(p). What is c in m(c) = 0?
0, 1, 3
Let d(b) = 7*b**2 - 4*b. Let y(z) = -z**2 - z. Let t(l) = -5*d(l) - 40*y(l). Find x such that t(x) = 0.
-12, 0
Suppose 46*s = 20*s + 78. Let h(x) be the first derivative of 4/5*x - 7 + 0*x**s - 3/5*x**2 + 1/10*x**4. Let h(g) = 0. What is g?
-2, 1
Let z(l) be the second derivative of l**7/140 + l**6/90 - l**5/60 + 3*l**3 - 20*l. Let d(n) be the second derivative of z(n). Factor d(o).
2*o*(o + 1)*(3*o - 1)
Let d be 63/(-273)*((-2524)/(-6) + -1). Let o = d + 97. Determine h so that 2/13 - 2/13*h**5 - 4/13*h**2 - 2/13*h + o*h**4 + 4/13*h**3 = 0.
-1, 1
Let b(w) be the second derivative of -w**5/20 + 2*w**4/3 + 22*w**3/3 + 24*w**2 + 6*w - 2. Factor b(n).
-(n - 12)*(n + 2)**2
Solve b**5 - 8*b**4 - 35*b**2 + 13*b**3 + 13*b**2 + 16*b**2 = 0.
0, 1, 6
Let i(c) be the second derivative of -c**6/15 + c**5/5 + c**4/6 - 2*c**3/3 - 78*c + 2. Factor i(t).
-2*t*(t - 2)*(t - 1)*(t + 1)
Let b = -29 + 9. Let u be 8/b - 12/(-5). Factor 3*v**u - 42*v + 42*v.
3*v**2
Let d(b) be the third derivative of -b**6/180 + b**5/45 + 7*b**4/12 + 2*b**3 - 2*b**2 - 4. Find q, given that d(q) = 0.
-3, -1, 6
Let t = 22/7 + -257/84. Let r(u) be the first derivative of t*u**6 + 2 + 0*u**2 - 1/8*u**4 - 1/10*u**5 + 1/6*u**3 + 0*u. Factor r(a).
a**2*(a - 1)**2*(a + 1)/2
Suppose -4*r = 4*m - 0*r, -5*m + 4*r + 36 = 0. Find o, given that -168*o**3 + m + 188*o**3 + 28*o**2 - 4 + 8*o = 0.
-1, -2/5, 0
Suppose -7*h + 10*h = -6. Let l be h/(-24)*(-2 - -11). Factor 1/4*s**2 + l + s.
(s + 1)*(s + 3)/4
Let s be (6/21*56/(-36))/((-30)/45). Suppose q + s*q**2 - q**4 + 1/3 - 1/3*q**5 - 2/3*q**3 = 0. What is q?
-1, 1
Let k be ((-6)/27 + 2/90)*(811 - 813). What is b in -2/5 - 2/5*b**4 + 4/5*b**2 - 4/5*b**3 + 2/5*b**5 + k*b = 0?
-1, 1
Let o = 871 - 869. Factor 0*s**o - 3*s**4 + 0 + 0*s - 3/2*s**5 + 0*s**3.
-3*s**4*(s + 2)/2
Let m = 0 + 2/5. Let t = -231 - -233. Factor -m*i**t + 0 - 1/5*i**4 + 3/5*i**3 + 0*i.
-i**2*(i - 2)*(i - 1)/5
Let w(l) be the first derivative of 2*l**6/3 - 12*l**5/5 - l**4 + 44*l**3/3 - 24*l**2 + 16*l - 61. Suppose w(p) = 0. Calculate p.
-2, 1, 2
Let b = 3920 - 3916. Determine v, given that 3/5*v**3 + 0*v + 0 - 3/5*v**b + 6/5*v**2 = 0.
-1, 0, 2
Let o = 9517/19 + -501. Let j = 142/95 - o. Factor -6/5*m**2 + 8/5 + j*m.
-2*(m - 2)*(3*m + 2)/5
Suppose 6*y - 3 = 1 + 8. Factor 4 - 2/3*t**y - 2/3*t.
-2*(t - 2)*(t + 3)/3
Factor 90/7*h**3 + 0 - 24/7*h**4 - 100/7*h**2 + 2/7*h**5 + 0*h.
2*h**2*(h - 5)**2*(h - 2)/7
Let r(q) be the first derivative of -q**5/20 + q**4/8 + 19*q**3/12 + 7*q**2/2 + 3*q - 394. Let r(m) = 0. Calculate m.
-2, -1, 6
Suppose -67*b + 15 - 15 = 0. Solve -1/3*i - 5/6*i**2 - 2/3*i**3 - 1/6*i**4 + b = 0.
-2, -1, 0
Find r such that 111*r**2 - 45*r**4 + 49*r**4 - 83*r**2 + 32*r**3 = 0.
-7, -1, 0
Let j(g) be the third derivative of 0 + 0*g**4 - 1/525*g**7 + 0*g**5 + 0*g**3 + 1/100*g**6 + 13*g**2 + 0*g. Factor j(w).
-2*w**3*(w - 3)/5
Let y(p) be the third derivative of -1/75*p**5 + 1/15*p**3 - 1/840*p**8 + 0 - 7*p**2 - 1/60*p**4 + 1/525*p**7 + 1/150*p**6 + 0*p. Let y(v) = 0. What is v?
-1, 1
Let g(s) = 2*s**2 - 12*s - 4*s**2 + 8*s + 14 + s**2. Let p be g(-6). Factor -d**3 + 2*d**2 - d - p*d**3 - 2 + 4*d**3.
(d - 1)*(d + 1)*(d + 2)
Suppose -5*o + 98 = -42. What is u in -100*u**3 - 176*u + 11 - 324*u**2 + 44*u**2 - o - 15 = 0?
-2, -2/5
Let a(d) = 3*d - 3. Let w be a(2). Suppose -w*l - k = 16, 5*l + 18 = l + 2*k. Let r(c) = -3*c. Let g(o) = o**2 - 6*o. Let v(f) = l*r(f) + 3*g(f). Factor v(