*4 + 0*q**b + 3/5*q**3.
q*(q + 1)**2*(2*q - 1)/5
Suppose -3*p + 3*a - 21 = -6*p, -5*p + a = -41. Suppose 3*w = g - p + 19, -w - 7 = 5*g. Factor -2/11*s**4 + 4/11*s**2 + 0*s - 2/11 + 0*s**w.
-2*(s - 1)**2*(s + 1)**2/11
Solve 86 - 22 + 4*t**3 + 104*t - 665*t**2 + 709*t**2 = 0.
-8, -2, -1
Let k = -7511 + 7511. Solve -1/7*p**2 + k + 8/7*p = 0.
0, 8
Let v(p) be the third derivative of 1/420*p**5 + 0 + 1/42*p**3 + 0*p - 1/84*p**4 + 20*p**2. Determine t, given that v(t) = 0.
1
Let o(l) = -9*l**3 - 76*l**2 - 145*l - 68. Let x(f) = 245*f**3 + 2050*f**2 + 3915*f + 1835. Let n(d) = -55*o(d) - 2*x(d). Let n(c) = 0. Calculate c.
-14, -1
Factor l - 1/4*l**2 - 3/4.
-(l - 3)*(l - 1)/4
Let j(g) be the third derivative of -1/180*g**5 - 1/72*g**4 + 0*g**3 + 0 + 0*g + 5*g**2. Factor j(a).
-a*(a + 1)/3
Let d be (-1)/3 - 195/(-45). Determine k so that -d*k**3 - 4 - 257*k**2 + 1 + 4*k - 5 + 265*k**2 = 0.
-1, 1, 2
Factor -2*x**4 + 25075 + 120*x**3 + 2400*x - 920*x**2 - 27075 - 3*x**4.
-5*(x - 10)**2*(x - 2)**2
Let d(v) be the third derivative of 3*v**2 - 1/24*v**4 + 0*v**3 - 1/120*v**6 - 1/30*v**5 + 0 + 0*v. Factor d(o).
-o*(o + 1)**2
Let y(c) be the third derivative of 2*c**7/105 + 5*c**6/2 + 481*c**5/5 + 1369*c**4/6 - 92*c**2. Determine b, given that y(b) = 0.
-37, -1, 0
Let l(n) be the third derivative of -n**5/20 - 7*n**4/4 + 16*n**3 - 449*n**2. Let l(p) = 0. What is p?
-16, 2
Let n(p) be the second derivative of p**10/6048 + p**9/1008 + p**8/672 - p**4/12 - p**2/2 + 2*p - 6. Let t(h) be the third derivative of n(h). Solve t(k) = 0.
-2, -1, 0
Let b(i) be the third derivative of i**8/480 + 3*i**7/560 + i**6/360 - 47*i**3/6 - 19*i**2. Let m(c) be the first derivative of b(c). Factor m(j).
j**2*(j + 1)*(7*j + 2)/2
Suppose 2*b + 4*s = -b - 677, -b - 239 = -2*s. Let h = b - -694/3. Determine w so that -h*w**3 + 1/3 - w + w**2 = 0.
1
Let z(y) be the first derivative of -27 + 1/12*y**6 + 0*y**3 + 1/4*y**4 + 0*y**2 + 3/10*y**5 + 0*y. Find c such that z(c) = 0.
-2, -1, 0
Let l(o) be the first derivative of -o**4/20 + 13*o**3/15 - 42. Find j, given that l(j) = 0.
0, 13
Let r(p) = -3*p**5 - 3*p**4 + 81*p**3 - 165*p**2 - 3. Let s(i) = 3*i**5 + 2*i**4 - 81*i**3 + 164*i**2 + 2. Let l(j) = -2*r(j) - 3*s(j). Factor l(o).
-3*o**2*(o - 3)**2*(o + 6)
Let g be -4 - (-6)/12 - (-8 + 3). Factor -33/4*b**3 - 21/4*b + 15*b**2 - g.
-3*(b - 1)**2*(11*b + 2)/4
Suppose -3 - 5 = -2*z. Suppose -2*b + 3*j = 2, b + 10 - 4 = 4*j. Suppose -5*n**z + 10 + 3*n**4 + 6*n**b - n**4 - 13 = 0. What is n?
-1, 1
Let d(l) = -l**2 + 14*l + 19. Let q be d(15). Let p be 6*(152/36 - q). Solve 6*y**2 - p + 14/3*y = 0 for y.
-1, 2/9
Let s(r) = -6*r - 717. Let u be s(-120). Factor 8/3 - 2/3*i**2 + 4/3*i - 1/3*i**u.
-(i - 2)*(i + 2)**2/3
Let k(s) be the third derivative of -s**7/2310 - s**6/396 - s**5/220 - 7*s**3/3 - s**2. Let v(o) be the first derivative of k(o). Let v(b) = 0. What is b?
-3/2, -1, 0
Let q(l) = 25*l**3 + 280*l**2 - 515*l + 240. Let f(z) = 7*z**3 + 70*z**2 - 129*z + 60. Let b(i) = -15*f(i) + 4*q(i). Determine w so that b(w) = 0.
1, 12
Let j be (-21)/(-84) + (5/(-20) - 0). Factor 2/5*q + j + 1/5*q**2.
q*(q + 2)/5
Let c(r) = -r**4 + r**2. Let o(a) = 2*a**4 + 3*a**3 + 6*a**2 + 5*a. Let i be (-1 - 2)/(0 - -1). Let w(m) = i*c(m) - o(m). Factor w(f).
f*(f - 5)*(f + 1)**2
Let u(j) be the second derivative of j**4/108 - j**3/9 - 7*j**2/18 - 436*j. Determine a so that u(a) = 0.
-1, 7
Let w(u) be the third derivative of u**7/1470 - u**5/84 + 2*u**3/21 + 3*u**2 - 14*u. Solve w(s) = 0 for s.
-2, -1, 1, 2
Suppose 5*x - 13 = -2*z, -3*z = -0*z - 4*x - 8. Suppose -11*p + z = -18. Determine q, given that 5/6*q**p + 0 - 1/6*q - 2/3*q**3 = 0.
0, 1/4, 1
Let y = -98 + 101. What is q in -4*q - 41*q**2 - 4*q**2 - 10*q**4 - 21*q - 14*q**y - 5 - 21*q**3 = 0?
-1, -1/2
Let m(c) be the third derivative of -3*c**6/55 - 2*c**5/11 - 25*c**4/132 + 12*c**2 - 1. Suppose m(i) = 0. What is i?
-5/6, 0
Let k(d) = d**2 + 22*d - 27. Suppose -3*o - 15 = -3. Let v(t) = t**2 + t. Let j(i) = o*v(i) + k(i). Factor j(w).
-3*(w - 3)**2
Suppose -384 = -33*s - 318. Suppose 2/5 + 1/5*o**s - 3/5*o = 0. What is o?
1, 2
Let g(y) be the third derivative of y**8/672 - y**7/210 - y**6/48 + y**5/20 + 48*y**2. Let g(z) = 0. What is z?
-2, 0, 1, 3
Let x(d) = 15*d**2 + 4*d. Let c(a) = 4*a**2 + a. Let t(q) = -22*c(q) + 6*x(q). Find o such that t(o) = 0.
-1, 0
Let x(g) = -18*g**4 - 48*g**3 - 14*g**2 + 50*g + 30. Let a(j) = j - 1. Let k = 105 + -101. Let n(w) = k*a(w) - 2*x(w). Factor n(s).
4*(s - 1)*(s + 1)*(3*s + 4)**2
Let s(n) be the first derivative of -n**5/30 + n**4/6 - n**3/6 + 387. Let s(m) = 0. Calculate m.
0, 1, 3
Let g be ((-4)/10)/((-16)/120). Suppose 3*w - w - 5 = 5*i, 5*w + g = -3*i. Find d such that -3/2*d**2 + w*d + 0 - 3/4*d**3 = 0.
-2, 0
Let g = 19 + -15. Let w be -6 + (-2)/(-4)*g. Let k(o) = 7*o**4 + 11*o**3 + 3*o**2 - 7*o - 2. Let b(c) = c**4 + c**3 - c. Let h(u) = w*b(u) + k(u). Factor h(a).
(a + 1)**3*(3*a - 2)
Find f such that 0*f**3 + 3/2*f**4 + 0*f + 0 - 2*f**2 - 1/2*f**5 = 0.
-1, 0, 2
Suppose -45*h - 54*h = -91*h. Let z(t) be the third derivative of 1/135*t**5 + h - 1/540*t**6 + 0*t**3 + 7*t**2 + 0*t - 1/108*t**4. Factor z(p).
-2*p*(p - 1)**2/9
Suppose -4*z + 33 = 13. Let q(c) be the third derivative of -7/30*c**z + c**4 + 0*c + 0 + 6*c**2 + 4/3*c**3. Determine a, given that q(a) = 0.
-2/7, 2
Suppose b = -7*b + 680. Determine j so that -29*j + 59*j + 41*j**4 - 6*j**4 + 5*j**5 + b*j**2 + 85*j**3 = 0.
-3, -2, -1, 0
Let u(r) be the first derivative of 4*r**5/5 + 9*r**4 + 40*r**3/3 - 72*r**2 - 224*r - 114. Find c such that u(c) = 0.
-7, -2, 2
Let f(r) = r**3 + 12*r**2 + 11*r + 2. Let g be f(-11). Let o(y) be the second derivative of 1/12*y**4 + 0 - 1/3*y**3 - 3/2*y**g - 9*y. Solve o(l) = 0.
-1, 3
Factor 1/3*t**2 - 1/3*t**3 - 1/3 + 1/3*t.
-(t - 1)**2*(t + 1)/3
Solve 0*f**3 + 371*f + 47*f**2 - 2*f**3 + 3*f**3 + 132 + 245*f + 1320 = 0 for f.
-22, -3
Let u(d) be the third derivative of 0*d**3 + 12*d**2 - 1/4*d**5 + 0 + 1/112*d**8 + 1/70*d**7 + 0*d - 3/40*d**6 - 1/4*d**4. Suppose u(i) = 0. Calculate i.
-1, 0, 2
Let k(r) = -2*r**3 - r**2 - 1. Let m(v) = 12*v**3 - 179*v**2 - 5766*v - 59575. Let t(q) = 7*k(q) + m(q). Factor t(x).
-2*(x + 31)**3
Suppose 10*h - 11*h = -14. Let t = h + -12. Factor 2/5 + 1/5*q**t - 3/5*q.
(q - 2)*(q - 1)/5
Let y = -698 + 7680/11. Let l(t) be the first derivative of -2/33*t**3 - y*t**2 + 5 + 6/11*t. Factor l(v).
-2*(v - 1)*(v + 3)/11
Suppose -41*i = -34*i - 21. Let m(x) be the first derivative of -4/7*x + 1/7*x**2 + 7 + 2/21*x**i. Factor m(c).
2*(c - 1)*(c + 2)/7
Suppose -11/4 + 3*n - 1/4*n**2 = 0. What is n?
1, 11
Let s(k) be the third derivative of k**8/1848 - k**7/385 + k**6/220 - k**5/330 + 60*k**2 + k. Find i, given that s(i) = 0.
0, 1
Suppose 13 - 13 = 6*j. Let h(g) be the first derivative of -1/5*g**5 + 0*g**3 - 4 + 0*g**2 + 1/2*g**4 + j*g - 1/6*g**6. Factor h(s).
-s**3*(s - 1)*(s + 2)
Let x - 1 - 1/4*x**2 = 0. What is x?
2
Let h(v) be the third derivative of v**7/252 - v**6/144 - v**5/24 + 5*v**4/144 + 5*v**3/18 + 4*v**2 - 32. Suppose h(p) = 0. What is p?
-1, 1, 2
Factor 17/3 + 1/3*z**2 + 6*z.
(z + 1)*(z + 17)/3
Let z(f) = 15*f**4 - 4*f**3 - 23*f**2 + 8*f + 16. Let y(r) = -12*r**4 + 4*r**3 + 23*r**2 - 7*r - 17. Let b(j) = -4*y(j) - 3*z(j). Determine u so that b(u) = 0.
-2, -1, 1, 10/3
Suppose -111 = -2*a + 5*z, 0 = 3*a + 3*z - 4*z - 160. Suppose a*w = 50*w. Factor w*r**2 - 1/2*r**3 + 0 + 1/2*r.
-r*(r - 1)*(r + 1)/2
Factor -15/7*r**4 + 3/7*r**5 + 0 + 3*r**3 - 9/7*r**2 + 0*r.
3*r**2*(r - 3)*(r - 1)**2/7
Factor 3*o**4 - 8*o**4 - 1218*o**3 + 5*o**2 - 5*o + 1223*o**3.
-5*o*(o - 1)**2*(o + 1)
Let x = 14151 + -70753/5. Determine d, given that -24/5*d + 0*d**2 + x*d**3 + 32/5 = 0.
-4, 2
Determine j, given that 10/3*j + 17/3*j**3 + 0 + 29/3*j**2 - 2/3*j**4 = 0.
-1, -1/2, 0, 10
Let z = -9092 + 9092. Find c, given that 1/2*c**2 + z + 0*c = 0.
0
Suppose -21 = -4*f + 4*c - 5, -3*f + 4*c + 14 = 0. Solve 4/3 + 4/3*x + 1/3*x**f = 0.
-2
Let q(f) be the first derivative of -f**5/10 - f**4/3 - f**3/3 + 2*f - 3. Let t(n) be the first derivative of q(n). Factor t(p).
-2*p*(p + 1)**2
Let s(g) be the first derivative of g**8/105 + g**7/70 - g**6/10 + g**5/15 - 2*g**3/3 + 7. Let o(h) be the third derivative of s(h). Find u such t