derivative of v(w). Factor p(t).
3*(t - 2)*(t + 1)
Let b be ((-9)/12)/(21/(-56)). Find x such that -4*x**2 + b*x**2 - 4*x**2 + 5*x**2 = 0.
0
Let v(k) be the second derivative of -2*k**6/105 + k**4/21 + 8*k - 5. Factor v(w).
-4*w**2*(w - 1)*(w + 1)/7
Let r be 2/((-48)/24) + (-6)/(-4). Factor 0*f - 1/2*f**2 + r.
-(f - 1)*(f + 1)/2
Suppose -5 - 15 = -5*q. Find i, given that 5 + q*i**2 - 1 + 31*i - 23*i = 0.
-1
Let d be (-14 + 144/12)*1/(-6). Let b(g) be the first derivative of -3*g**2 + 10 - d*g**3 - 9*g. Solve b(l) = 0.
-3
Let z = 1689 + -5059/3. Factor 22/9*u**2 + 0 - z*u**3 + 0*u + 2/9*u**4.
2*u**2*(u - 11)*(u - 1)/9
Let v = 5/13 + -227/624. Let y(n) be the third derivative of -1/168*n**7 + 0*n + 0*n**3 + v*n**4 - 3/80*n**5 + 0 + 1/40*n**6 + 5*n**2. Solve y(h) = 0 for h.
0, 2/5, 1
Let x(u) be the third derivative of -1/140*u**5 - 6*u**2 + 2/7*u**4 + 0*u - 1/70*u**6 + 0 + 2/7*u**3. What is b in x(b) = 0?
-2, -1/4, 2
Let a = 10078 + -10076. Factor 1/7*r**a + 1/7*r**3 - 1/7*r**4 - 1/7*r + 0.
-r*(r - 1)**2*(r + 1)/7
Let i be ((-390)/(-715) - 798/(-110)) + -6. Factor -3/5*x**4 - 27/5*x - i*x**2 + 0 + 3*x**3.
-3*x*(x - 3)**2*(x + 1)/5
Factor 16*m + 14*m + m**2 + 3*m**3 - 21*m + 11*m**2.
3*m*(m + 1)*(m + 3)
Let j = 3 + 1. Suppose -4*z = 4*f - f - 10, 0 = 2*z + 5*f + 2. What is u in 4*u**3 - 3*u + 9*u**z - u - 7*u**j - 2*u**2 = 0?
-2, -1, 0, 1
Let d = -23111/18 + 1284. Let r(b) be the second derivative of -d*b**4 - 16/3*b**2 - 2*b + 0 - 8/9*b**3. Factor r(k).
-2*(k + 4)**2/3
Suppose 4*p = -m + 4*m, m = 5*p. Let q(a) be the first derivative of -8/3*a**2 + 8/15*a**5 + m*a - 2/9*a**6 - 16/9*a**3 + 13 + a**4. Factor q(l).
-4*l*(l - 2)**2*(l + 1)**2/3
Let m(x) be the second derivative of -x**5/30 + x**4/3 - 4*x**3/3 + 7*x**2/2 - 15*x. Let l(c) be the first derivative of m(c). Factor l(z).
-2*(z - 2)**2
Let b(h) = h**3 - 2*h - 1. Let s be b(2). Let -914*d**s - 21*d**2 + d**2 + 894*d**3 - 5*d**4 = 0. Calculate d.
-2, 0
Let f be 265/45 - (-7)/63. Let g(p) be the first derivative of 6*p**4 + 3*p**5 + 4*p**3 + 2 + 1/2*p**f + 0*p**2 + 0*p. Factor g(l).
3*l**2*(l + 1)*(l + 2)**2
Let n(o) be the second derivative of -o**5/15 + 4*o**4/3 - 32*o**3/3 - 7*o**2/2 - 2*o. Let r(j) be the first derivative of n(j). Factor r(s).
-4*(s - 4)**2
Let u be (17/(-2) - -8)*(10 + 0). Let l(o) = -o**2 + 2. Let y(b) = -3*b**3 - b**2 + b + 8. Let x(c) = u*l(c) + y(c). Factor x(f).
-(f - 1)**2*(3*f + 2)
Suppose -10 = -q - 10*m + 6*m, 4*q = 3*m + 40. Let w be (-4)/q*((-165)/27)/11. Let w + 2/3*t**2 + 2/9*t**3 + 2/3*t = 0. What is t?
-1
Let u(g) be the first derivative of -g**5/35 + 3*g**4/28 - g**3/21 - 3*g**2/14 + 2*g/7 + 142. Factor u(z).
-(z - 2)*(z - 1)**2*(z + 1)/7
Solve 4/5*d + 1/5*d**2 + 0 = 0.
-4, 0
Let w = 88 + -85. Determine z, given that 10*z**w - z**3 + 7*z**3 - 2 + 30*z**2 + 12*z = 0.
-1, 1/8
Let c(a) be the third derivative of a**5/450 + 13*a**4/90 - 56*a**3/45 + 724*a**2. Solve c(m) = 0.
-28, 2
Let u = -4 - -8. Let v = u - 0. Solve -4*n - 3 + 9*n**2 - v*n**2 - 3*n**2 - 3*n**2 = 0 for n.
-3, -1
Factor 5 - 3*n + 1/4*n**2.
(n - 10)*(n - 2)/4
Let k(w) = w**4 + w**3. Let o(j) = -8*j**4 + 18*j**3 - 168*j**2 + 144*j. Let q(i) = -14*k(i) - 2*o(i). What is z in q(z) = 0?
0, 1, 12
Let p(z) = 16*z - 101. Let r be p(5). Let u be 39/42 + (-12)/r. Solve 3/2*q**3 - u*q**2 - 3/2*q + 0 + 3/2*q**4 = 0 for q.
-1, 0, 1
Let z = 55 - 26. Let s = z + -26. Solve -2/11*n**s - 2/11 + 2/11*n**2 + 2/11*n = 0 for n.
-1, 1
Let y(k) be the second derivative of k**4/72 + 7*k**3/36 - 2*k**2/3 + 15*k. Factor y(m).
(m - 1)*(m + 8)/6
Suppose -42*i = -32*i - 20. Let s = -2/9 - -37/45. Factor -3/5*o + 0 + 3/5*o**i + 3/5*o**3 - s*o**4.
-3*o*(o - 1)**2*(o + 1)/5
Let u(l) = -7*l**2 + 5*l**2 - 10 - 4*l + 10*l**3 - 2*l**2 - 6*l. Let f(d) = 3*d**3 - d**2 - 3*d - 3. Let z(r) = 21*f(r) - 6*u(r). Let z(p) = 0. What is p?
-1, 1
Let b = -47 + 49. Suppose -10 + 20 = b*y. Determine d so that 0*d**2 - 2/5*d**3 + 0 - 2/5*d**y + 0*d - 4/5*d**4 = 0.
-1, 0
Let p be 19 - (-1 + -8)/3. Let o be p/6 - 4/6. What is s in -4 + 1 - 4*s**2 - o - 8*s + 2 = 0?
-1
Let 22/5*o**2 - 1/5*o**4 + 14/5*o - 2/5*o**5 + 3/5 + 12/5*o**3 = 0. Calculate o.
-1, -1/2, 3
Let a(g) = 5*g**3 + 15*g**2 + 3*g - 31. Let p(d) = -6*d**3 - 15*d**2 - 4*d + 35. Let o(i) = -5*a(i) - 4*p(i). Suppose o(l) = 0. What is l?
-15, -1, 1
Suppose 0 = n - 5*n + n. Find a such that -5 - 5*a - 3*a - 5*a**2 + n*a**2 - 2*a = 0.
-1
Let a(l) = -10*l**4 + 6*l**3 - 14*l**2 + 2*l - 8. Let q(v) = v**4 + v**2 + 1. Let p(c) = -a(c) - 8*q(c). Let p(j) = 0. What is j?
0, 1
Factor -20*d**2 + 25 - d + 0 + 5*d + d.
-5*(d + 1)*(4*d - 5)
Let v(x) = 2*x**3 + 5*x**2 - 10*x + 17. Let t be v(-8). Let h = -4238/7 - t. Find a such that 4/7*a**2 - 3/7 - h*a = 0.
-1/4, 3
Let y(z) = 2*z**5 - z**4 + z**3 - z**2 - 1. Let w(k) = -7*k**5 + 7*k**4 - 10*k**3 - 22*k**2 - 27*k - 5. Let s(u) = 3*w(u) + 12*y(u). Factor s(p).
3*(p - 3)*(p + 1)**3*(p + 3)
Let w(r) be the first derivative of 5*r**4/4 - 40*r**3/3 + 40*r**2 + 109. Find q such that w(q) = 0.
0, 4
Let j(i) be the first derivative of i**4/22 - 10*i**3/33 + 8*i**2/11 - 8*i/11 + 162. Factor j(x).
2*(x - 2)**2*(x - 1)/11
Let c(f) be the third derivative of f**8/2352 + 3*f**7/70 + 361*f**6/280 + 2881*f**5/420 + 115*f**4/7 + 150*f**3/7 - 5*f**2 + 12. Solve c(x) = 0 for x.
-30, -1
Let a(p) be the first derivative of -p**6/12 - p**5/10 + p**4/8 + p**3/6 + 30. Suppose a(w) = 0. What is w?
-1, 0, 1
Let p(c) = 20*c**4 - 156*c**3 - 36*c**2 + 156*c. Let d(a) = -4*a**4 + 31*a**3 + 7*a**2 - 31*a. Let y(m) = 16*d(m) + 3*p(m). Factor y(t).
-4*t*(t - 7)*(t - 1)*(t + 1)
Let k = 18 + -14. Let m be k/(-12) - (-22)/12. Determine v so that -m*v**5 + 9/2*v**3 + 15/2*v**2 - 3/2*v**4 + 0 + 3*v = 0.
-1, 0, 2
Let v(i) be the third derivative of 0*i**3 + 16*i**2 + 0 + 0*i**4 + 1/20*i**6 + 1/70*i**7 + 1/20*i**5 + i. Solve v(x) = 0.
-1, 0
Determine m, given that 288300*m + 1860*m**2 - 170*m**3 + 14895500 - 74*m**3 + 248*m**3 = 0.
-155
Let x(v) = -v + 17. Let f be x(-7). Let z be f/11 + (-10)/55. Suppose 1/2*l + 1 - 1/2*l**z = 0. Calculate l.
-1, 2
Factor -v**4 - 2704*v + 831*v**2 + 22*v**3 - 127*v**3 - 1068*v**2 + 0*v**4 - 2571*v**2.
-v*(v + 1)*(v + 52)**2
Let m(g) = -g**2 - 8*g + 9. Let n be m(-6). Suppose -23 = -n*f + 40. Factor 3*r**2 + 0 - r + 9/4*r**f - 7/4*r**4.
-r*(r - 2)*(r + 1)*(7*r - 2)/4
Let o(f) be the first derivative of -f**6/2 + 3*f**5 - 6*f**4 + 4*f**3 - 99. Factor o(k).
-3*k**2*(k - 2)**2*(k - 1)
Let d(m) be the third derivative of -m**7/45 + 73*m**6/360 + 9*m**5/10 + 89*m**4/72 + 7*m**3/9 - 412*m**2. Find g such that d(g) = 0.
-1, -1/2, -2/7, 7
Let s(z) = -2 - 1 + 5 + 0*z**2 + z**2. Let a be s(0). Determine f so that -f - 5*f**2 + 3*f**2 - 4*f**3 - 3*f**a = 0.
-1, -1/4, 0
Let d = -13436 + 67181/5. Suppose 4*s - 6 - 3 = -3*a, s - 2 = -a. Factor d*i**s + 2/5*i**2 + 0 + 1/5*i.
i*(i + 1)**2/5
Let d(m) be the third derivative of m**6/160 + 3*m**5/10 + 9*m**4/2 + 43*m**2. Solve d(g) = 0 for g.
-12, 0
Let g be ((-1)/(-3))/(2 + -1). Let k = -12/4033 - -4069/12099. Factor -2/3*n + g + k*n**2.
(n - 1)**2/3
Suppose -2*j - 2*f = -12, -3*j + 0*f = -2*f - 43. Find y such that -10*y + 6 - 3*y**2 + 2*y + j*y = 0.
-1, 2
Let j(n) = -8*n**4 + 64*n**3 - 36*n**2 - 20*n + 20. Let m(i) = -i**4 + 9*i**3 - 5*i**2 - 3*i + 3. Let o(c) = -3*j(c) + 20*m(c). Factor o(a).
4*a**2*(a - 2)*(a - 1)
Let u(o) = 140*o**4 + 2034*o**3 - 6934*o**2 + 7210*o - 2450. Let b(y) = y**5 - 3*y**4 + y**3 + y**2. Let x(r) = 2*b(r) + u(r). Factor x(f).
2*(f - 1)**3*(f + 35)**2
Let v(p) = p. Let b = 2 + -5. Let g(y) = -y**2. Let x(l) = 2*l**2 - 8*l - 2. Let h(z) = b*g(z) - x(z). Let j(m) = 3*h(m) - 15*v(m). Factor j(a).
3*(a + 1)*(a + 2)
Let o be (-3*5*(-12)/(-45))/(-1). Let m(x) be the first derivative of -3/8*x**o - 3/2*x**3 - 9 + 3/4*x**2 + 3/2*x + 3/5*x**5. Find y such that m(y) = 0.
-1, -1/2, 1
Suppose -91*d - 362 = -93*d. Let p = d + -181. Suppose p - 12/5*o + 3/5*o**2 = 0. What is o?
0, 4
Let z(a) be the second derivative of -a**4/18 - 68*a**3/9 - 1156*a**2/3 - 109*a. Let z(c) = 0. What is c?
-34
Let o(q) be the third derivative of -q**8/336 + 3*q**7/70 + 29*q**6/120 - 27*q**5/20 + 11*q**4/6 - 269*q**2. Factor o(n).
-n*(n - 11)*(n - 1)**2*(n + 4)
Let d(p) be the second derivative of -p**8/20160 - p**7/7560