/6 - 16*p**5 - 170*p**4 - 400*p**3/3 - 40*p**2 - 19*p + 9. Let i(d) = 0. Calculate d.
-2/5, -1/6, 2
Let q(k) be the first derivative of 7*k**5/15 + k**4/6 - 28*k**3/3 - 68*k**2/3 - 32*k/3 - 497. Factor q(v).
(v - 4)*(v + 2)**2*(7*v + 2)/3
Let b = 3237/38 + 63/19. Let n = -88 + b. Let 0*g - 3/4*g**3 + n*g**2 + 0 + 1/4*g**4 = 0. What is g?
0, 1, 2
Let a(c) be the first derivative of -5/17*c**2 - 1/34*c**4 - 8/51*c**3 - 5 - 4/17*c. Find s such that a(s) = 0.
-2, -1
Suppose 0 = 3*l - 8*l + 70. Determine o so that -2 - l*o**2 + 20*o**2 - 2*o**3 + 2*o - 4 = 0.
-1, 1, 3
Find h, given that 2*h**4 + 21*h + 2*h**4 + 86*h + 84*h**3 - 27*h + 164*h**2 + 4*h**3 = 0.
-20, -1, 0
Let g(y) be the first derivative of -y**6/39 - 2*y**5/5 - 33*y**4/13 - 108*y**3/13 - 189*y**2/13 - 162*y/13 + 321. Let g(z) = 0. What is z?
-3, -1
Let d(c) = c**3 - 10*c + 7. Let b be d(0). Let a(v) be the first derivative of 0*v + 2/25*v**5 + 0*v**4 + 0*v**2 - 2/15*v**3 - b. Suppose a(l) = 0. What is l?
-1, 0, 1
Factor 0*s + 0*s**2 + 0 + s**4 - 1/3*s**5 + 4/3*s**3.
-s**3*(s - 4)*(s + 1)/3
Let h(l) be the first derivative of -l**3/3 + l**2/2 - 23. Let c(g) = -5*g**4 + 3*g**2 + 2*g. Let s(v) = -c(v) + 2*h(v). Factor s(d).
5*d**2*(d - 1)*(d + 1)
Let l = -1519/5 - -304. Let r(w) be the first derivative of 0*w**3 + 2 - w + 1/2*w**4 + l*w**5 - w**2. Solve r(d) = 0 for d.
-1, 1
Let c = -9 - -12. Suppose -15 = -v - 9. Find l such that -l**3 - 4 - 4*l - 4*l**2 + v*l**c + 8*l**2 - l**3 = 0.
-1, 1
Let z be 5 + 1 + (4 + -2 - 1). Suppose -z*k = -11*k. Factor 0*q + 2/5*q**3 + k*q**2 + 2/5*q**4 + 0.
2*q**3*(q + 1)/5
Let x be (15/2 - 2) + 21/(-14). Let r(s) be the second derivative of 0*s**3 + 1/84*s**7 + 1/10*s**5 + 0*s**x - 1/15*s**6 - 11*s + 0*s**2 + 0. Factor r(o).
o**3*(o - 2)**2/2
Let j be (-4)/12*(5 + -20). Let k(g) = g**2 - 3*g. Let u(p) = 2*p**2 + 2*p**2 - 2*p - 3*p**2. Let t(h) = j*k(h) - 6*u(h). Factor t(s).
-s*(s + 3)
Let b(s) be the second derivative of -s**7/147 + 2*s**6/35 - 13*s**5/70 + 2*s**4/7 - 4*s**3/21 - 4*s - 4. Determine h so that b(h) = 0.
0, 1, 2
Let g(v) = v**3 - v**2 + v - 2. Let a be g(2). Suppose l - a*l + 15 = 0. Let n + l*n - 12*n + 3*n**2 = 0. What is n?
0, 2
Let w(d) be the first derivative of d**6/27 + 2*d**5/3 + 5*d**4/3 - 380*d**3/27 + 25*d**2 - 18*d + 4. Factor w(o).
2*(o - 1)**3*(o + 9)**2/9
Let y = 4051/9 + -443. Find i such that -128/9*i - 52/9*i**2 - 2/3*i**3 - y = 0.
-4, -2/3
Let w = 1461/10 - 146. Let t = 1/10 + w. Factor 0*y - t + 0*y**3 - 1/5*y**4 + 2/5*y**2.
-(y - 1)**2*(y + 1)**2/5
Let k(z) = -z**3 + 65*z**2 + 8. Let d be k(65). Let f(h) be the first derivative of -2 + d*h - 2*h**2 - 4/3*h**3. What is j in f(j) = 0?
-2, 1
Let p(b) be the first derivative of -5*b**4/4 - 20*b**3/3 + 125*b**2/2 + 140*b + 22. Factor p(n).
-5*(n - 4)*(n + 1)*(n + 7)
Let f(m) be the first derivative of 2*m**5/5 + 2*m**4 - 4*m**3/3 - 12*m**2 + 18*m - 225. Suppose f(v) = 0. What is v?
-3, 1
Let w(c) be the first derivative of -11/2*c**3 + 9 - 13/10*c**5 + c - 7/4*c**2 - 37/8*c**4. What is v in w(v) = 0?
-1, 2/13
Let i be (-4 + 120/28)*-7*2/(-26). Let n be 15/9 + (-2)/(-6). Factor 2/13*l**n - 4/13 - i*l.
2*(l - 2)*(l + 1)/13
Suppose 0 = w - 5*i - 5, 0*w + 3*w - 2*i - 54 = 0. Let l = w - 18. Solve -a**3 + 0*a**2 - 2*a**3 - 3*a**2 + 6*a**l = 0 for a.
0, 1
Suppose h + 7 = 2*v + 24, 3 = -v. Suppose 3*s**2 - 6*s**3 - h*s - 2*s**4 + 17*s - s**4 = 0. What is s?
-2, -1, 0, 1
Suppose 4*k + 3 = 15. Suppose -k*n = -4*n + 4. Determine j so that -4*j**3 + 0*j**3 + j**4 + n*j**2 + 4*j**5 - 5*j**4 = 0.
-1, 0, 1
Let f(z) = -9*z**4 + 7*z**2 + 3*z. Let o = 38 + -33. Let i(m) = 26*m**4 - 22*m**2 - 10*m. Let b(q) = o*i(q) + 14*f(q). Find r such that b(r) = 0.
-1, 0, 2
Let p(u) be the second derivative of -u**5/130 - 7*u**4/13 - 196*u**3/13 - 2744*u**2/13 - 82*u. Solve p(h) = 0 for h.
-14
Let h(z) = z**2 + 2*z + 1. Let u be h(-1). Let f(i) be the second derivative of -1/27*i**4 + 5*i + u*i**2 + 0 + 1/27*i**3 - 1/30*i**5. Factor f(y).
-2*y*(y + 1)*(3*y - 1)/9
Let t = -2 - -3. Let o(g) = -3*g**5 - 5*g**4 - 1. Let s(l) = -93*l**5 - 3 + 4 + 2*l**4 + 92*l**5 - l**4. Let n(d) = t*s(d) + o(d). Find a, given that n(a) = 0.
-1, 0
Let o = 251/3 + -2509/30. Let y(n) be the second derivative of 9*n - 1/10*n**5 - 1/6*n**4 + 1/42*n**7 + 0 + o*n**6 + 1/6*n**3 + 1/2*n**2. Factor y(r).
(r - 1)**2*(r + 1)**3
Let y be (-28)/49 + 90/35. Solve 4/9*q - 2/9*q**y + 0 - 2/9*q**3 = 0.
-2, 0, 1
Let n be ((-252)/45)/7*65/(-78). Find q such that -8/15 + 2/3*q**3 - n*q + 2/5*q**2 + 2/15*q**4 = 0.
-4, -1, 1
Suppose -3*w = -44 + 29. Factor -283*o**4 - 6*o - 3 + 292*o**4 - 3*o - 6*o**2 + 3*o**5 + 0*o**w + 6*o**3.
3*(o - 1)*(o + 1)**4
Suppose 0*k**4 - 1/3*k**5 + 0*k**2 - 1/3*k + 0 + 2/3*k**3 = 0. Calculate k.
-1, 0, 1
Let n(f) be the second derivative of 0 - 3*f - 7/12*f**3 - 1/40*f**5 + 5/24*f**4 + 3/4*f**2. Factor n(c).
-(c - 3)*(c - 1)**2/2
Suppose a + p - 2 = 0, 25 = -5*a + 5*p + 65. Let u(l) be the second derivative of -a*l + 0*l**2 + 0*l**3 + 0 - 1/18*l**4 - 1/60*l**5. What is f in u(f) = 0?
-2, 0
Let j(l) = -3*l**4 - 22*l**3 - 32*l**2 - 18*l - 5. Let r(s) = -2*s**4 - 23*s**3 - 33*s**2 - 17*s - 5. Let m(z) = -3*j(z) + 2*r(z). Factor m(y).
5*(y + 1)**4
What is t in 8/5 - 4/5*t - 4/5*t**2 = 0?
-2, 1
Let g(d) be the second derivative of d**7/210 - 2*d**5/5 + 8*d**4/3 - 8*d**3 + 64*d**2/5 - 7*d - 7. Factor g(u).
(u - 2)**4*(u + 8)/5
Let x = -442 - -3992/9. Suppose -17*w + 16 = 16. Find s, given that w - x*s**2 - 4/9*s = 0.
-2/7, 0
Let z(v) = 8*v**5 + 30*v**4 + 24*v**3 + 8*v**2 - 6*v + 6. Let o(b) = b**5 - b**3 - b**2 + b - 1. Let s(c) = -6*o(c) - z(c). Let s(w) = 0. Calculate w.
-1, -1/7, 0
Let w = -27893/7 + 3986. Suppose w*h - 6/7*h**2 - 3/7 + 9/7*h**4 - 6/7*h**3 - 3/7*h**5 = 0. What is h?
-1, 1
Let a be -6*(-2)/4 + -2. Let u be (-6)/(-2 - 0)*a. Determine r, given that -2*r**4 + 4*r - r**u + 14*r**2 - 2*r**5 + 7*r**3 + 0*r - 4*r**2 = 0.
-1, 0, 2
Let x(o) be the first derivative of 0*o + 3/2*o**2 + 0*o**3 - 42 - 3/16*o**4. Solve x(z) = 0 for z.
-2, 0, 2
Let y(u) be the first derivative of 2/45*u**3 - 7/30*u**4 + 17 - 2/15*u**5 + 8/15*u**2 - 1/45*u**6 + 8/15*u. Find p such that y(p) = 0.
-2, -1, 1
Let c(i) = -17*i**2 + 76*i - 83. Let b(a) = 28*a**2 - 153*a + 165. Let f(k) = 3*b(k) + 5*c(k). Factor f(m).
-(m - 1)*(m + 80)
Let 24*v + 39 + 2*v**2 + v**2 + 78 - 144*v = 0. Calculate v.
1, 39
Let y(z) be the third derivative of -7*z**2 + 0*z**3 - 1/32*z**4 + 0 + 0*z + 1/240*z**5. Factor y(n).
n*(n - 3)/4
Let f(u) = u**3 + 11*u**2 + 6*u + 12. Let k be f(-7). Factor k*x**2 - 66 - 199*x**2 + 3*x**3 + 105*x - 9.
3*(x - 5)**2*(x - 1)
Let s(v) be the third derivative of 0*v + 10/27*v**3 + 1/12*v**4 + 40*v**2 + 0 - 1/270*v**5. Solve s(b) = 0.
-1, 10
Let f(l) be the second derivative of 11*l - 1/42*l**4 + 0 + 0*l**2 + 2/21*l**3. Solve f(r) = 0.
0, 2
Let d(r) = -30*r**2 - 34*r + 8. Let t(j) be the first derivative of -61*j**3/3 - 67*j**2/2 + 15*j + 12. Let b(n) = -7*d(n) + 4*t(n). Let b(p) = 0. Calculate p.
-1, 2/17
Let d be (-8 - 1)*(-16)/6. Suppose -3*m = 2*h - 7*m - d, h + 4*m = -18. Factor -i - 3*i**4 - 1 + h*i + 8*i - 3*i**2 + 7 - 9*i**3.
-3*(i - 1)*(i + 1)**2*(i + 2)
Let m(a) be the third derivative of 1/24*a**6 - 1/12*a**5 + 0*a - 14*a**2 + 0*a**3 - 5/24*a**4 + 0 + 1/42*a**7. Factor m(p).
5*p*(p - 1)*(p + 1)**2
Let y = 1132 - 12446/11. Factor y + 8/11*s + 2/11*s**2.
2*(s + 1)*(s + 3)/11
Let p = -6771/4 - -1693. Let i = 27/22 - 8/11. Let -p*x**2 - 1/4 + i*x = 0. Calculate x.
1
Let p(t) be the first derivative of 5*t**3/3 + 65*t**2/4 - 35*t/2 + 513. Suppose p(m) = 0. What is m?
-7, 1/2
Let u be (-6 + -5 - -6) + 5. Let i(t) be the second derivative of -5*t + 4*t**4 + 0 - 2*t**3 - 5/2*t**6 - 3/4*t**5 + u*t**2. Factor i(n).
-3*n*(n + 1)*(5*n - 2)**2
Let x(i) be the second derivative of i**5/20 - 10*i**4/3 - i**3/6 + 20*i**2 + 169*i. Factor x(k).
(k - 40)*(k - 1)*(k + 1)
Factor -332/5*u**2 - 4/5*u**3 - 6724/5 - 7052/5*u.
-4*(u + 1)*(u + 41)**2/5
Let r(y) be the second derivative of -y**4/3 - 20*y**3/3 + 192*y**2 + 227*y. Factor r(w).
-4*(w - 6)*(w + 16)
Suppose 84*x - 81*x = 33. Determine u, given that 15*u**2 - 13 - 2*u - x*u - 8*u - 5 = 0.
-3/5, 2
Suppose 5*n - 10 + 5 = 0. Let c be (0/n)/(5/5). Factor -2/3*t + 2/3*t**3 + 1/3*t**4 + c*t**