ine r, given that v*r**4 + 11/2*r + 3/4 + 13*r**2 + 21/2*r**3 = 0.
-3, -1, -1/3
Let j be (75/63 + 4/(-12))*(-21)/(-42). Suppose 3/7*f**3 - 6/7 + 6/7*f**2 - j*f = 0. Calculate f.
-2, -1, 1
Let d(g) be the second derivative of 3/2*g**2 - g - 1/12*g**4 + 0*g**3 + 0 + 1/30*g**5. Let y(m) be the first derivative of d(m). Determine c so that y(c) = 0.
0, 1
Factor 0 + 2/3*v**3 + 0*v**4 - 1/3*v + 0*v**2 - 1/3*v**5.
-v*(v - 1)**2*(v + 1)**2/3
Let v(u) = u**2 + 42*u + 418. Let q be v(-26). Solve 2/3*b**q - 1/6*b**3 - 3 + 1/2*b = 0.
-2, 3
Let n(k) be the first derivative of 4*k**5/5 - 18*k**4 + 64*k**3 - 92*k**2 + 60*k + 41. Find c such that n(c) = 0.
1, 15
Let w(z) be the second derivative of -z**5/10 - 7*z**4/6 + 17*z**3/3 - 9*z**2 + 43*z + 2. What is p in w(p) = 0?
-9, 1
Let y = 242 + -362. Let p be 363/y + 3 - (-4)/10. Factor 3/8*i**2 - 3/8*i + 0 + 3/8*i**3 - p*i**4.
-3*i*(i - 1)**2*(i + 1)/8
Let r = 79/240 + -23/80. Let a(l) be the second derivative of 0 + 5/6*l**3 + 25/4*l**2 + 11*l + r*l**4. Factor a(i).
(i + 5)**2/2
Factor -1/4*p**4 - 5/4*p**2 + 3*p + 0 - 3/2*p**3.
-p*(p - 1)*(p + 3)*(p + 4)/4
Let d be 4/6*77/22 - 2. Let q(f) be the second derivative of -1/6*f**4 + 1/30*f**5 + 0 + 4*f + 1/3*f**3 - d*f**2. Let q(w) = 0. Calculate w.
1
Let g(i) = 111*i + 666. Let h be g(-6). Factor -2/7*k**3 + 0*k - 2/7*k**2 + h.
-2*k**2*(k + 1)/7
Suppose 0 = 2*o - 6*o + 8. Factor 3*a**o - 5*a**4 + a**4 + 3*a**2 - 2*a**2.
-4*a**2*(a - 1)*(a + 1)
Let s(k) be the second derivative of k**4/4 - 2*k**3 - 3*k**2 - 16*k. Let u(n) = 3*n**2 - 13*n - 7. Let a(q) = -7*s(q) + 6*u(q). Factor a(c).
-3*c*(c - 2)
Let k(z) be the third derivative of -1/160*z**6 + 0*z**3 - 11*z**2 + 0*z - 1/280*z**7 + 0 + 0*z**5 + 0*z**4. Factor k(o).
-3*o**3*(o + 1)/4
Let b(j) be the second derivative of -j**6/135 - j**5/15 + 32*j**3/27 + 12*j - 1. Factor b(r).
-2*r*(r - 2)*(r + 4)**2/9
Let i(d) = 4*d**2 + 8*d - 8. Suppose -4*h + 0*h - 16 = 0. Let r(j) = -8*j**2 - 17*j + 16. Let f(p) = h*r(p) - 9*i(p). Factor f(k).
-4*(k - 1)*(k + 2)
Let o(s) be the first derivative of 2*s**5/35 + 5*s**4/14 - 2*s**3/3 - 5*s**2/7 + 12*s/7 + 70. Factor o(x).
2*(x - 1)**2*(x + 1)*(x + 6)/7
Let w(h) = -h**3 - h**2 - 1. Let g(y) be the first derivative of y**4/2 + 2*y**3/3 + y**2/2 + 4*y + 3. Let d(j) = -g(j) - 3*w(j). Suppose d(u) = 0. What is u?
-1, 1
Suppose d = 5*d - 4. Suppose s - 5 = -5*p - d, 4*p = 3*s - 12. Determine y, given that -13*y**4 - 3*y**5 - 18*y - 75*y**2 - 57*y**3 - 30*y - 12 - 8*y**s = 0.
-2, -1
Let l(p) = p**2 - 28*p - 35. Let j(s) = -2*s**2 + 70*s + 88. Let u(a) = -5*j(a) - 12*l(a). Factor u(b).
-2*(b + 2)*(b + 5)
Let f(v) = -7*v**3 + 7*v**2 - 5*v - 7. Let q(b) = -9*b**3 + 6*b**2 - 7*b - 6. Let u(i) = -4*f(i) + 3*q(i). Find x such that u(x) = 0.
-1, 1, 10
What is c in 12*c - 3*c**3 + 2*c**4 + 12 + c**2 + c**4 - 6*c**2 - 4*c**2 - 3*c**3 = 0?
-1, 2
Let a(n) = -3*n**2 + 96*n + 109. Let g(v) = 2*v**2 - 48*v - 54. Let z(p) = 2*a(p) + 5*g(p). Factor z(b).
4*(b - 13)*(b + 1)
Let p(r) = -8*r - 29. Let a be p(-4). Let s(m) be the third derivative of 0 + 1/10*m**5 + 1/3*m**a - 1/3*m**4 + 0*m - 4*m**2. Solve s(g) = 0.
1/3, 1
Let h be (-19)/(-608)*-24 + (-2)/(48/(-34)). Suppose 0 = -2*r - 1 + 5. Find t, given that 1/3*t + h - 1/3*t**r = 0.
-1, 2
Let i = 38/135 - -14/27. Factor 4/5*h**2 - i + 0*h.
4*(h - 1)*(h + 1)/5
Let u be (-1)/((-1)/(-4)) + 8. Suppose -u + 0 = -2*i. Factor -2 + 0 + 1 + d**i.
(d - 1)*(d + 1)
Let p(j) = 11*j**2 - 41*j - 24. Suppose -5*u + 0*t + t = -10, -4*u = -t - 8. Let g(k) = 10*k**2 - 42*k - 24. Let r(l) = u*p(l) - 3*g(l). Factor r(w).
-4*(w - 6)*(2*w + 1)
Suppose 73*t - 8*t = 0. Let l(s) be the second derivative of -3/4*s**2 + s**3 - 3*s - 3/10*s**5 + t + 1/8*s**4. Factor l(z).
-3*(z - 1)*(z + 1)*(4*z - 1)/2
Find r, given that 13/2*r**3 - r**2 - 5*r**4 + 0 + 3/4*r**5 - 5/4*r = 0.
-1/3, 0, 1, 5
Let t be (-48)/(-12)*5/10. Factor -22/5*n**t + 8/5*n**3 + 24/5*n - 1/5*n**4 - 9/5.
-(n - 3)**2*(n - 1)**2/5
Let d(i) = 24*i**4 + 4*i**3 + 16*i + 8. Let j(t) = 16*t**4 + 3*t**3 + 10*t + 5. Let f(m) = 5*d(m) - 8*j(m). Let f(s) = 0. Calculate s.
-1/2, 0
Let o(w) = 23 - 3*w**2 - 21*w + 82*w - 2*w**2. Let f(a) = 4*a**2 - 60*a - 22. Let q(t) = 5*f(t) + 6*o(t). Let q(s) = 0. What is s?
-2/5, 7
Let q(p) be the first derivative of -9*p**5/10 + p**4/4 + 315. Determine i so that q(i) = 0.
0, 2/9
Solve -5*r**2 - 6*r - 32*r**3 - 7*r**2 + 30*r**3 - 10*r = 0 for r.
-4, -2, 0
Let n(x) be the third derivative of -x**6/24 + 17*x**5/12 - 105*x**4/8 - 135*x**3/2 + 5*x**2 - 47. What is r in n(r) = 0?
-1, 9
Let g be (6 + 112/(-21))/((-4)/(-30)). Solve -5*s**2 + 38*s - g - 25*s - 23*s = 0 for s.
-1
Let p(g) be the second derivative of -g**8/5880 + g**7/2940 + g**6/1260 - g**5/420 + 17*g**3/6 + 27*g. Let m(s) be the second derivative of p(s). Factor m(i).
-2*i*(i - 1)**2*(i + 1)/7
Let s = 32 - 26. Let w(r) = 2*r**4 - 22*r**3 - 14*r**2 + 22*r + 12. Let d(b) = -b**4 + 21*b**3 + 13*b**2 - 21*b - 12. Let q(l) = s*d(l) + 5*w(l). Factor q(t).
4*(t - 1)*(t + 1)**2*(t + 3)
Let f(j) be the first derivative of j**6/57 - 6*j**5/95 - j**4/38 + 22*j**3/57 - 12*j**2/19 + 8*j/19 + 164. What is d in f(d) = 0?
-2, 1, 2
Let s(v) be the second derivative of 7*v + 0 - 5/12*v**4 - 3/4*v**5 + 0*v**6 + 0*v**3 + 10/21*v**7 + 0*v**2. Determine d so that s(d) = 0.
-1/2, 0, 1
Let u be -22*(90/(-72) + 0). Factor 10*n**3 + 30*n + 45/4 + u*n**2 + 5/4*n**4.
5*(n + 1)**2*(n + 3)**2/4
Suppose 0 = -7*t + 195 - 13. Let o = t - 26. Factor -2/11*j**3 + 0*j**2 - 2/11*j**4 + o*j + 0.
-2*j**3*(j + 1)/11
Let r(s) = s**3. Let k(o) = -4*o**3 + 114*o**2 - 2166*o + 13718. Let q(i) = -k(i) - 2*r(i). Solve q(l) = 0.
19
Let g = 26304 + -26286. Factor -3/2*r**2 - 54 + g*r.
-3*(r - 6)**2/2
Let y(h) be the second derivative of -5/9*h**3 + 2/9*h**4 + 0 - 1/30*h**5 + 9*h + 2/3*h**2. Factor y(x).
-2*(x - 2)*(x - 1)**2/3
Solve -1/3*i**5 + 8/3*i - 5/3*i**4 - 4 + 13/3*i**2 - i**3 = 0 for i.
-3, -2, 1
Factor 96*o**2 - 165*o - 4*o**3 + 320 - 157*o - 14*o.
-4*(o - 20)*(o - 2)**2
Factor -17 + 1 + 4*i**3 + 103*i**2 - 91*i**2.
4*(i - 1)*(i + 2)**2
Let p(o) be the third derivative of 0*o - 1/36*o**5 + 5/12*o**4 + 0*o**3 + 0 + 22*o**2. Let p(x) = 0. Calculate x.
0, 6
Let g(o) be the first derivative of 5*o**3/3 - 30*o**2 - 140*o + 58. Find a, given that g(a) = 0.
-2, 14
Let q = -6137/39 + 2050/13. Find m, given that q*m**3 + 2/3 + 2*m + 3/2*m**2 = 0.
-2, -1/2
Let s = 13 - 23. Let a = s + 14. Let 4*t**3 + 2*t**a - 5*t**2 + 2*t - 2*t**4 + t**4 - 2*t**4 = 0. Calculate t.
0, 1, 2
Let d be 116/4 + (-195)/7. Let 4/7*m**3 + d + 16/7*m**2 + 20/7*m = 0. Calculate m.
-2, -1
Let n(z) be the second derivative of -z**6/30 - z**5/5 + 8*z**3/3 + 8*z**2 + 2*z + 6. Find p such that n(p) = 0.
-2, 2
Let i(o) be the second derivative of 4*o**5/25 + 7*o**4/5 - 38*o**3/15 - 12*o**2/5 + 179*o. Find d such that i(d) = 0.
-6, -1/4, 1
Let g(v) be the first derivative of -v**5/30 + 2*v**4/3 - 16*v**3/3 - 7*v**2/2 - 3. Let o(m) be the second derivative of g(m). Find y such that o(y) = 0.
4
Let d(j) = -j**2 - j. Let l(m) = -15*m + 12. Let y = 3 - 1. Suppose 0 = v - y*k - 3, v - 4*k = -2*v + 5. Let z(g) = v*l(g) + 3*d(g). Factor z(t).
-3*(t - 2)**2
Let k(s) be the first derivative of 3/4*s**4 + 3*s**3 + 3*s**2 - 2 + 0*s. Factor k(p).
3*p*(p + 1)*(p + 2)
Suppose 0 = -6*x + 2*x. Let b = 2 + x. Factor y**b - 9*y**3 + 3*y - 4*y**2 - 3*y**3 - 6*y**2.
-3*y*(y + 1)*(4*y - 1)
Let r(h) be the first derivative of -1444*h**3/27 - 380*h**2/9 - 100*h/9 - 39. Suppose r(u) = 0. Calculate u.
-5/19
Let m(u) be the first derivative of 4*u**5/5 - 5*u**4 + 16*u**3/3 + 1. Find i such that m(i) = 0.
0, 1, 4
Let w be (-7 - 7) + 4/2. Let g be 4 - (4 - w/(-4)). Factor 20*b**g + 16*b + 109*b**4 - 105*b**4 + 8*b**2 + 24*b**2.
4*b*(b + 1)*(b + 2)**2
Let i(n) be the third derivative of n**6/720 + n**5/90 - n**4/144 - n**3/9 - 65*n**2. What is w in i(w) = 0?
-4, -1, 1
Let o(g) be the second derivative of -g**5/30 - g**4/3 + 5*g**3/3 - 8*g**2/3 - 95*g + 1. Find a, given that o(a) = 0.
-8, 1
Let c(u) = 20*u + 180. Let n be c(-9). Let d(s) be the third derivative of 0*s + 0*s**3 - 1/108*s**4 + n + 0*s**5 + 1/540*s**6 + 4*s**2. Factor d(p).
2*p*(p - 1)*(p + 1)/9
Let c(k) be the second derivative of -k**7/189 - 8*k**6/135 - 4*k**5/15 - 16*k**4/