2 + 5/4*k**3 + w - 5*k.
5*(k - 2)*(k - 1)*(k + 2)/4
Let v(s) be the first derivative of -1/4*s**2 - 3/8*s**4 - 1/10*s**5 - 1/2*s**3 - 26 + 0*s. Let v(h) = 0. What is h?
-1, 0
Suppose -9*v = -8*v. Suppose 2*l + v*l = 4. Suppose -3*x**5 + 2*x**2 + 4*x + 4*x**l - 6*x**4 + 0*x - x = 0. Calculate x.
-1, 0, 1
Let v(n) be the third derivative of n**7/350 + n**6/200 - 4*n**5/25 + n**4/2 + n**2 + 11*n. Factor v(w).
3*w*(w - 2)**2*(w + 5)/5
Let j(o) be the second derivative of -o**6/120 - 39*o**5/40 - 19*o**4/12 + 13*o**3/4 + 77*o**2/8 - 2*o - 128. Factor j(i).
-(i - 1)*(i + 1)**2*(i + 77)/4
Let j(q) = q**5 + 2*q**4 + 2*q**3 - q**2 + q - 1. Let p(v) = 3*v**5 + 37*v**4 + 292*v**3 + 254*v**2 + 2*v - 2. Let f(o) = -6*j(o) + 3*p(o). Factor f(i).
3*i**2*(i + 1)*(i + 16)**2
Let v(p) = 17*p**3 + 61*p**2 - 22*p + 4. Let c(h) = 33*h**3 + 123*h**2 - 45*h + 9. Let k(n) = 4*c(n) - 9*v(n). Factor k(r).
-3*r*(r + 3)*(7*r - 2)
Let x be ((-1)/4)/((-3)/24). Suppose -4*d + 10 = x*u, 2*u + 6 - 2 = 3*d. Factor -2*k**d + k**5 + k**3 + 3*k**3 - k - 4*k**3 + 2*k**4.
k*(k - 1)*(k + 1)**3
Let k(z) be the third derivative of -z**5/210 - 25*z**4/14 - 1875*z**3/7 - 2*z**2 - 24. Factor k(n).
-2*(n + 75)**2/7
Suppose i = -2*a + 10, 0 = -a - 5*i - 0 - 4. Factor 4*r**2 - 2*r**5 + 8*r**3 + 0*r**5 + 89 - a*r - 93.
-2*(r - 2)*(r - 1)*(r + 1)**3
Let k(w) be the first derivative of -6*w + 14 - 15/2*w**2 - 4*w**3 - 3/4*w**4. Factor k(x).
-3*(x + 1)**2*(x + 2)
Let n be 8/28 - 3*54/(-21). Let u be (3/(-6) + 0)*(n - 8). Find i, given that u - 17/4*i**3 + 5*i**2 + i**4 - i = 0.
0, 1/4, 2
Let h = -600 - -621. Suppose -12 = -5*z - 37, 5*z = 2*p - 33. Find v such that p - 8*v + 23*v**2 - h*v**2 + 2 = 0.
1, 3
Let b(v) be the first derivative of -v**6/660 + v**5/55 - 7*v**2/2 + 20. Let x(d) be the second derivative of b(d). Solve x(r) = 0.
0, 6
Let j = 501 - 492. Let q(r) be the third derivative of 1/102*r**4 - 1/510*r**5 + 1/17*r**3 + 0*r + 0 + j*r**2. What is d in q(d) = 0?
-1, 3
Factor -45/4*o + 12 - 3/4*o**2.
-3*(o - 1)*(o + 16)/4
Let j be (22/33)/(1/(-1812)). Let t = j + 2184. Solve 20*m**2 + 16*m**3 + 4*m**4 + 8*m + 976 - t = 0 for m.
-2, -1, 0
Let w = 1072/1617 - -2/539. Factor 16/3*h + 32/3 + w*h**2.
2*(h + 4)**2/3
Let p be (1/(7/21))/((-318)/(-75) + -4). Factor -1/2*s**2 - p + 5*s.
-(s - 5)**2/2
Let f be (-213)/355 + 93/105. Factor -f*g + 0 + 10/7*g**2.
2*g*(5*g - 1)/7
Let b(x) be the third derivative of x**9/756 - x**7/70 + x**6/45 - 5*x**3/2 + 15*x**2. Let w(f) be the first derivative of b(f). What is o in w(o) = 0?
-2, 0, 1
Let u(w) = -w**2 - 22*w + 51. Let t be u(-24). Factor 0 - 3/2*g**t - 3/2*g**2 + 0*g.
-3*g**2*(g + 1)/2
Let z(t) be the third derivative of 1/1848*t**8 + 0*t**4 + 0*t + 1/330*t**6 + 0*t**5 + 0 - 1/385*t**7 + 0*t**3 + 27*t**2. Factor z(r).
2*r**3*(r - 2)*(r - 1)/11
Suppose 6*d = -13*d + 4*d. Let p(z) be the second derivative of 0*z**4 - 1/45*z**6 + 0*z**3 + 0*z**2 - z + 1/63*z**7 + d*z**5 + 0. Find q such that p(q) = 0.
0, 1
Let z(t) be the second derivative of -t**6/90 + t**5/15 + t**4/4 - 8*t**3/9 - 10*t**2/3 + 103*t. Solve z(i) = 0 for i.
-2, -1, 2, 5
Let f be 4/(-1) + (-364)/(-78). Let d(s) be the second derivative of s**2 + 0 + f*s**4 - 5/3*s**3 + 2*s. Factor d(y).
2*(y - 1)*(4*y - 1)
Let l be 6/(-99) + (-59466)/(-10890). Factor -2/5 - 9*t**2 + 17/5*t + 27/5*t**4 + l*t**3.
(t + 2)*(3*t - 1)**3/5
Suppose 3*y - 2*y + 4*i - 7 = 0, -5*y = -i - 35. Suppose y*k = 6*k + 3. Suppose l**3 - 2*l - l**k + 4*l**2 - 2*l**3 = 0. What is l?
0, 1
Let n(f) be the first derivative of -f**3/3 + f**2/2 - f + 9. Let m(z) = 4*z**2 + 4*z - 6. Let g(q) = -m(q) - 2*n(q). Factor g(u).
-2*(u - 1)*(u + 4)
Let q(x) be the second derivative of 19*x**7/189 - 17*x**6/135 - 7*x**5/30 + 17*x**4/54 + 2*x**3/27 - 224*x. Determine w so that q(w) = 0.
-1, -2/19, 0, 1
Let f(l) be the third derivative of 8*l**7/147 - 101*l**6/420 + 2*l**5/5 - 25*l**4/84 + 2*l**3/21 - 877*l**2. Solve f(v) = 0 for v.
1/8, 2/5, 1
What is l in -8 - 94/3*l**2 - 88/3*l - 4*l**3 + 6*l**4 = 0?
-1, -2/3, 3
Factor -2*n**2 - 3 - 5*n + 6*n**2 - 10*n**2 - 3*n + n**4.
(n - 3)*(n + 1)**3
Let s = -8/83 - -190/249. Factor c - c**3 - 1/3*c**4 - 1/3*c**2 + s.
-(c - 1)*(c + 1)**2*(c + 2)/3
Let b(p) = -p**3 - 9*p**2 - 9*p + 1. Let c be b(-8). Let d = -2 + 5. Let -d*k - 24*k**2 - 39*k**3 - 3*k + 3*k - c*k**3 = 0. Calculate k.
-1/4, 0
Let r(a) be the third derivative of 0 - 1/105*a**7 - 1/8*a**4 - 1/336*a**8 + 1/30*a**5 + 0*a**3 + 0*a + 1/30*a**6 - 17*a**2. What is v in r(v) = 0?
-3, -1, 0, 1
Solve 82*a + 2*a**3 + 696/5*a**2 - 276/5 = 0.
-69, -1, 2/5
Suppose 14*i + 114 = 20*i. Let t = 97/5 - i. Factor 2/5*l**2 - t + 0*l.
2*(l - 1)*(l + 1)/5
Factor -15*v + 0 + 6*v**3 - 3/2*v**4 + 21/2*v**2.
-3*v*(v - 5)*(v - 1)*(v + 2)/2
Let i(p) be the first derivative of 1/4*p - 1/4*p**4 - 1/4*p**2 + 1 - 7/12*p**3. Factor i(q).
-(q + 1)**2*(4*q - 1)/4
Let c(u) = 4*u**2 - 1. Let b be c(1). Suppose b*q + 21 = 5*d, -4 = -6*q + 8*q. Determine v, given that -v**d + 0*v + 0 + 1/2*v**2 + 1/2*v**4 = 0.
0, 1
Let n(h) be the first derivative of -3*h**4/4 + 17*h**3 - 236. Factor n(x).
-3*x**2*(x - 17)
Let y(p) = p - 32. Let i be y(0). Let q be (-3)/(1/(i/12)). Solve -9*u + u**2 + u**2 + u + q = 0 for u.
2
Let a be (5 - (-15)/6)*(-58)/(-3). Let d = 145 - a. Solve 4/5*n**4 + d*n**2 - 4/5 + 8/5*n - 8/5*n**3 = 0 for n.
-1, 1
Let a(r) be the first derivative of 5*r**4/3 + 35*r**3/6 - 5*r**2 - 9*r - 1. Let j(m) be the first derivative of a(m). Solve j(t) = 0.
-2, 1/4
Let i(f) be the first derivative of f**5/110 + f**4/66 + 35*f + 33. Let b(v) be the first derivative of i(v). Suppose b(k) = 0. Calculate k.
-1, 0
Let a(f) = f**3 - 4*f**2 + f - 2. Let r be a(4). Suppose 10*h**2 - 9*h**r + 6*h - 4*h**2 = 0. Calculate h.
0, 2
Let k(n) = 0*n + n**3 + 1 + 2*n**2 + 0*n - 3*n**2. Let u(b) = 2*b**3 - 2*b**2 - 20*b + 17. Let q(s) = -3*k(s) - u(s). Let q(f) = 0. Calculate f.
-2, 1, 2
Let f be (3/2)/((-10)/(-4)). Let x(i) = -i**3 - 10*i**2 - 19*i - 19. Let d be x(-8). Factor f*o + 0*o**4 + 3/5*o**d + 0 + 0*o**2 - 6/5*o**3.
3*o*(o - 1)**2*(o + 1)**2/5
Let k(c) = 2*c**4 - 69*c**3 - 81*c**2 + 151*c + 3. Let j(a) = 4*a**4 - 137*a**3 - 163*a**2 + 303*a + 7. Let d(g) = -6*j(g) + 14*k(g). Let d(p) = 0. Calculate p.
-2, 0, 1, 37
Let q(g) be the first derivative of g**5/120 - 7*g**4/24 + 49*g**3/12 - 11*g**2 + 10. Let p(o) be the second derivative of q(o). Factor p(a).
(a - 7)**2/2
Suppose -f - 2 + 6 = 0. Determine m so that -7*m - 32 - 13*m + f*m - 2*m**2 = 0.
-4
Suppose -36*c + 2 = -35*c. Let p(q) be the first derivative of -2/5*q**c - 2/5*q**3 + 0*q - 1/10*q**4 - 2. Solve p(b) = 0.
-2, -1, 0
Let y(c) = -12*c**4 + 13*c**3 + 64*c**2 - 41*c - 14. Let p(s) = -12*s**4 + 14*s**3 + 64*s**2 - 42*s - 12. Let j(n) = -7*p(n) + 6*y(n). Factor j(l).
4*l*(l - 3)*(l + 2)*(3*l - 2)
Let k(g) be the first derivative of g**8/48 + 13*g**7/105 + g**6/6 - 2*g**5/15 - 11*g**2 - 6. Let r(n) be the second derivative of k(n). Solve r(w) = 0.
-2, 0, 2/7
Let t be (-9)/15 - (-78)/30. Let g(m) = m**4 + m**3 - 1. Let r(f) = -7*f**4 - 19*f**3 + 16*f**2 - 8*f + 9. Let k(y) = t*r(y) + 18*g(y). Factor k(q).
4*q*(q - 2)**2*(q - 1)
Let f(r) be the first derivative of -5*r**3/3 - 210*r**2 - 8820*r + 108. Factor f(p).
-5*(p + 42)**2
Let l(t) be the third derivative of -t**5/180 + 19*t**4/36 + 40*t**3/9 - 486*t**2 + 2. What is w in l(w) = 0?
-2, 40
Let l be (-16)/33 + (-125)/15 + 9. Find z such that 2/11*z**4 - l*z + 4/11 + 2/11*z**3 - 6/11*z**2 = 0.
-2, -1, 1
Let p(g) be the first derivative of -2*g**6/3 - 12*g**5/5 + 9*g**4 - 20*g**3/3 + 964. Suppose p(c) = 0. What is c?
-5, 0, 1
Let i(l) be the first derivative of 0*l**2 + 0*l - 1/10*l**4 - 1/15*l**6 + 0*l**3 - 13 - 4/25*l**5. Factor i(p).
-2*p**3*(p + 1)**2/5
Let q(m) be the second derivative of -2*m**7/21 - 2*m**6/5 - 2*m**5/5 + 2*m**4/3 + 2*m**3 + 2*m**2 + 362*m. Factor q(g).
-4*(g - 1)*(g + 1)**4
Let 12*b**3 - 80*b**2 - 20*b**3 + 6*b**3 + 6*b**3 = 0. Calculate b.
0, 20
Let f be (63596/2366 - 26) + ((-16)/(-14))/(-2). Let -f*s**3 + 2/13*s**2 + 2/13*s**4 + 0*s + 0 = 0. What is s?
0, 1
Let n(x) be the third derivative of -x**5/15 + 31*x**4/6 - 56*x**3 + 3*x**2 + 11. Factor n(m).
-4*(m - 28)*(m - 3)
Let q be 15*(372/(-1530))/(-31). Find l, given that 0 + 0*l**2 + 4/17*l**3 + 0