*4 - 1 - 8*l**3 + 53*l + 3*l**2 - 3 + 5*l**2 + 4*l**z - 49*l = 0.
-1, 1
Suppose -4*q = -2*p - 5*q + 175, p - 77 = 3*q. Find u such that -u + p*u**4 - 91*u**4 + 30*u**3 + u = 0.
0, 6
Factor 0*m - 6*m**4 + 0*m**3 + 0 + 0*m**2 - 3/2*m**5.
-3*m**4*(m + 4)/2
Let d(u) = 8*u**2 - 26*u + 80. Let a(o) = -26*o**2 + 78*o - 244. Let l(i) = -5*a(i) - 16*d(i). Suppose l(m) = 0. Calculate m.
-15, 2
Let t(i) be the third derivative of i**8/28 - 39*i**7/70 + 29*i**6/20 - 3*i**5/4 - i**4 + 81*i**2 - i. Find v, given that t(v) = 0.
-1/4, 0, 1, 8
Let t be 26/(-6) + (-1 - (-200)/25). Let -1 + 1/3*d**4 + t*d + 0*d**3 - 2*d**2 = 0. What is d?
-3, 1
Let f(k) = -k**3 + 4*k**2 + k - 2. Let a(p) = 8*p**3 + 96*p**2 - 8*p - 120. Let x(v) = a(v) + 12*f(v). Determine q, given that x(q) = 0.
-1, 1, 36
Factor 0 + 30/17*z + 58/17*z**2 + 26/17*z**3 - 2/17*z**4.
-2*z*(z - 15)*(z + 1)**2/17
Let i = 1/2184 + 545/2184. Find d, given that i*d**4 - 1/4*d**3 + 0*d + 0*d**2 + 0 = 0.
0, 1
Factor -911 - 10*j - 35*j + 5*j**2 + 801.
5*(j - 11)*(j + 2)
Let s(w) be the first derivative of -3/4*w - 1/32*w**4 + 3 - 1/16*w**2 + 1/6*w**3. Factor s(n).
-(n - 3)*(n - 2)*(n + 1)/8
Factor -8*k + 4 + 8*k - 2*k**2 - 2.
-2*(k - 1)*(k + 1)
Let o(d) be the third derivative of -5/448*d**8 + 3/280*d**7 + 0 + 0*d + 7/160*d**6 + 0*d**3 - 3/80*d**5 - 1/16*d**4 + 13*d**2. Suppose o(n) = 0. What is n?
-1, -2/5, 0, 1
Suppose 2 = 4*i + 6. Let w be (i - -4) + (4 - 3). Determine q, given that 4*q**3 - 2*q**5 - q + q + 4*q**5 + 6*q**w = 0.
-2, -1, 0
Suppose 3*v = -2 - 19. Let n(u) = -5*u**2 + 5. Let q(k) = -4 - 2*k**2 + 8*k**2 - 2. Let z(w) = v*n(w) - 6*q(w). Factor z(f).
-(f - 1)*(f + 1)
Let d(g) be the third derivative of g**6/240 - 11*g**5/120 - 7*g**4/24 + 2*g**3 - g**2 - 19*g. Factor d(p).
(p - 12)*(p - 1)*(p + 2)/2
Let q(d) be the first derivative of -d**9/1728 - d**8/420 - d**7/840 + 10*d**3/3 + d - 51. Let f(u) be the third derivative of q(u). Factor f(p).
-p**3*(p + 2)*(7*p + 2)/4
Let v(y) = 123*y + 45*y + 309 + 43*y**2 - 5*y**2 + 10*y**2. Let j(z) = 7*z**2 + 24*z + 44. Let h(g) = -27*j(g) + 4*v(g). Factor h(x).
3*(x + 4)**2
Let b = -89 + 89. Let r(d) be the third derivative of 1/140*d**7 - 1/40*d**5 + 1/16*d**4 + b*d + 0*d**3 + 0 + d**2 - 1/80*d**6. Factor r(h).
3*h*(h - 1)**2*(h + 1)/2
Solve -20/3*b**2 + 80/3 - 8/3*b + 2/3*b**3 = 0.
-2, 2, 10
Let m be (4 - 1) + 125/(-5). Let d = -18 - m. Solve 2/5*y**5 + 4/5*y**2 + 2/5 - 6/5*y**d - 6/5*y + 4/5*y**3 = 0.
-1, 1
Let x be 0 + 9 + -1 + -1. Suppose -3*s - 2*m + x = -m, -5*s = -2*m - 19. Factor -s*j**2 - 5*j - 4*j**3 + 3*j**3 + 3*j.
-j*(j + 1)*(j + 2)
Let g be 24/(-56) + (804/560)/3. Let u(k) be the first derivative of 1/5*k**2 - 4 - g*k**4 + 0*k - 1/15*k**3. Solve u(q) = 0 for q.
-2, 0, 1
Let f be 4 + (-44)/16 - (-40)/(-32). Let z = 3 + 1. Factor 2/9*t**5 + 0 - 2/9*t**3 + 0*t**z + f*t + 0*t**2.
2*t**3*(t - 1)*(t + 1)/9
Let z = -16761/32 + 524. Let a = 1/32 + z. Determine j so that j + 0*j**2 - a*j**3 + 0 = 0.
-2, 0, 2
Suppose 33*f + 156 = 72*f. Let a(j) be the first derivative of j**2 - 1/2*j**f - 2*j + 2/3*j**3 - 8. Find k such that a(k) = 0.
-1, 1
Let r(q) = -q**3 - 5*q**2 - 2*q + 14. Let c(w) = 6*w**3 + 26*w**2 + 9*w - 71. Let x(h) = 2*c(h) + 11*r(h). Solve x(l) = 0 for l.
-2, 2, 3
Solve -8*c**2 + 17*c**2 - 1963 - 6*c**3 + 6*c + 18*c**2 + 1939 - 3*c**4 = 0 for c.
-4, -1, 1, 2
Find t such that 215*t - 27*t**2 + 110 + 23*t**2 + 828*t**3 + 54*t**2 + 50*t**2 - 833*t**3 = 0.
-1, 22
Let w be (-2)/(-20) + (-363)/(-330). Let b(z) = z**2 - 2*z - 5. Let t be b(-2). Find s such that 2/5*s**2 + 6/5*s - w*s**t + 2/5*s**4 - 4/5 = 0.
-1, 1, 2
Let g(k) = 4*k - 26. Let p be g(7). Suppose -2/5*y - 1/5*y**3 + 0 - 3/5*y**p = 0. Calculate y.
-2, -1, 0
Determine x, given that 19*x**3 - 28*x**3 + 36*x**2 + 5*x**3 = 0.
0, 9
Suppose 5*a - 4*a = 8*a. Let p(v) be the second derivative of a*v**2 - 5/48*v**4 + 0 + 1/20*v**5 - 1/120*v**6 + 1/12*v**3 + 3*v. Factor p(i).
-i*(i - 2)*(i - 1)**2/4
Let n(d) = d**2 + 9*d - 20. Let j be n(-11). Suppose 0 = o - 3*s - 17, -5*s = -o - 0*s + 27. Suppose 4*b**2 - b**3 - b**4 - j*b**o + 2*b**3 = 0. What is b?
-1, 0, 2
Let j be ((-36)/(-30))/((-2)/(-5)). Let r(d) be the first derivative of 3/22*d**4 - 2/11*d**j - 2/55*d**5 + 1/11*d**2 - 14 + 0*d. Factor r(z).
-2*z*(z - 1)**3/11
Let j(f) be the second derivative of -f**6/45 + 19*f**5/15 - 73*f**4/18 + 4*f**3 - f + 103. Suppose j(s) = 0. Calculate s.
0, 1, 36
Let p(n) be the first derivative of -n**4/4 + 22*n**3/3 - 70*n**2 + 200*n - 6. Factor p(o).
-(o - 10)**2*(o - 2)
Let p = 3021/7 + -302079/700. Let m(i) be the second derivative of 0 - i + 0*i**2 + 3/20*i**4 + 1/5*i**3 + p*i**5. Factor m(h).
3*h*(h + 1)*(h + 2)/5
Let d = -6/205 - -223/615. Let w be 4/6 + 0 - -1. Let 0 + 2/3*b**4 - w*b**3 + 4/3*b**2 - d*b = 0. Calculate b.
0, 1/2, 1
Let f(q) be the second derivative of 2*q**7/105 - 8*q**6/75 - 6*q**5/25 + 32*q**4/15 - 14*q**3/3 + 24*q**2/5 - 2*q + 27. Factor f(z).
4*(z - 4)*(z - 1)**3*(z + 3)/5
Suppose 2/11*w**4 + 52/11*w**2 + 28/11*w**3 - 2/11*w**5 + 38/11*w + 10/11 = 0. What is w?
-1, 5
Let p(f) = f**2 - f. Let c(w) = 36*w**2 - 44*w + 8. Suppose -n + 7 = -4*h, h = -2*h - 5*n + 12. Let j(x) = h*c(x) - 8*p(x). Find v such that j(v) = 0.
2/11, 1
Let k(t) be the second derivative of -t**6/30 - 21*t**5/80 - 11*t**4/16 - 19*t**3/24 - 3*t**2/8 - 3*t + 100. Let k(w) = 0. What is w?
-3, -1, -1/4
Let t = -769 + 771. Factor 1/5*a**t + 1/5*a - 2/5.
(a - 1)*(a + 2)/5
Let q(n) = n**2 + 50*n - 3342. Let t be q(-88). Find k such that -16/5 + 42/5*k**4 - 82/5*k**3 + 72/5*k - 36/5*k**t = 0.
-1, 2/7, 2/3, 2
Let t(u) be the first derivative of -2/5*u**2 + 18 + 6/5*u - 8/15*u**3 + 2/25*u**5 + 1/5*u**4. Solve t(s) = 0.
-3, -1, 1
Let o(i) = -2*i**4 + 14*i**3 + 37*i**2 + 26*i + 5. Let c(m) = -7*m**4 + 57*m**3 + 149*m**2 + 105*m + 20. Let d(h) = -2*c(h) + 9*o(h). Factor d(q).
-(q - 5)*(q + 1)*(2*q + 1)**2
Determine i, given that -17/3*i**2 + 16/3 + 2*i**3 + 1/3*i**4 - 2*i = 0.
-8, -1, 1, 2
Let p(m) be the second derivative of -4/3*m**3 - 11*m + 2/15*m**6 + 0*m**2 + 2/5*m**5 + 0 - 1/3*m**4. Factor p(o).
4*o*(o - 1)*(o + 1)*(o + 2)
Let m(p) be the third derivative of -p**5/390 + p**4/52 - 66*p**2 + 1. Determine u, given that m(u) = 0.
0, 3
Let -109*z**4 + 100*z**2 + 10 + 24*z - 225*z**3 - z**4 + 25*z + 176*z = 0. What is z?
-2, -1, -1/22, 1
Solve -3*c**2 - 33*c + 20*c - 23*c - 108 = 0 for c.
-6
Factor -48*x**3 + 168 + 204*x**2 + 3/2*x**5 - 3/2*x**4 - 312*x.
3*(x - 2)**4*(x + 7)/2
Let n be (17 - (-900)/(-54))*9. Find h, given that 0*h**2 - 1/3*h**n + 1/3*h + 1/6*h**4 - 1/6 = 0.
-1, 1
Let p(v) = v**2 - 250*v - 5039. Let o(h) = -6*h**2 + 1749*h + 35274. Let m(k) = 4*o(k) + 27*p(k). What is j in m(j) = 0?
-41
Let y(r) be the third derivative of -r**7/42 - 4*r**6/45 + 19*r**5/30 - r**4 + 2*r**3/3 + 28*r**2. Let c(h) be the first derivative of y(h). Factor c(q).
-4*(q - 1)*(q + 3)*(5*q - 2)
Let 2/13*w**5 - 144/13*w**4 - 4/13*w**3 + 2/13*w + 288/13*w**2 - 144/13 = 0. Calculate w.
-1, 1, 72
Let t(m) be the second derivative of m**7/210 + m**6/75 - 3*m**5/50 - m**4/3 - 19*m**3/30 - 3*m**2/5 - 80*m. Suppose t(o) = 0. What is o?
-2, -1, 3
Let p(c) be the second derivative of -c**6/1260 + c**5/140 + 2*c**3/3 - 14*c. Let q(a) be the second derivative of p(a). Factor q(t).
-2*t*(t - 3)/7
Suppose -3*o + 8*o = 5*p + 120, -5*o = p - 144. Factor 9*c**2 - 37*c**3 + 3*c**5 + o*c**3 - c**4 + c - 3*c.
c*(c - 1)**2*(c + 2)*(3*c - 1)
Let d(f) be the first derivative of -26 + 15/2*f**4 - 20*f + 30*f**2 - f**5 - 65/3*f**3. Find l such that d(l) = 0.
1, 2
Let 1 + 43*t - 50*t - 125*t - 4 + 131 + 4*t**2 = 0. Calculate t.
1, 32
Let n(k) be the third derivative of -k**5/20 - 43*k**4/24 - 67*k**3/6 - 8*k**2. Let t(h) = -2*h**2 - 22*h - 34. Let p(g) = 2*n(g) - 5*t(g). Factor p(w).
4*(w + 3)**2
Let s(w) be the second derivative of 25*w**7/14 + 37*w**6 + 849*w**5/5 - 2162*w**4/5 + 1856*w**3/5 - 768*w**2/5 + 356*w. Factor s(l).
3*(l + 8)**2*(5*l - 2)**3/5
Factor 1/5*v**2 + 12/5*v + 32/5.
(v + 4)*(v + 8)/5
Suppose 11 = 2*f - 2*y - y, 5*f + 2*y + 20 = 0. Let q(w) = -6*w**2. Let b(s) = -5*s**2 - s. Let c(o) = f*q(o) + 3*b(o). Factor c(n).
-3*n*(n + 1)
Let b(t) be the third derivative of -11*t**7/1260 - t**6/48 - t**5/90 + 3*t**2 + 2*t. Determine r so that b(r