 + 0 + 13/210*o**5 + 0*o**3 + 0*o + 23/735*o**7. Factor q(v).
2*v*(v + 1)**3*(7*v + 2)/7
Let m(v) be the first derivative of -3*v**4/16 - 11*v**3/12 + 5*v**2 - 3*v - 148. Factor m(s).
-(s - 2)*(s + 6)*(3*s - 1)/4
Let b(m) = 11 + 6*m**2 + 5*m**3 - 6*m - 4*m**3 - 5*m + 15*m**4. Let d(a) = -3*a**4 - a**2 + 2*a - 2. Let x(o) = -4*b(o) - 22*d(o). Factor x(u).
2*u**2*(u - 1)*(3*u + 1)
Let d(a) be the first derivative of -18/7*a + 34 - 2/21*a**3 - 10/7*a**2. Find z such that d(z) = 0.
-9, -1
Let l be -12*(16 - (-776)/(-48)). Let h - h**3 - 1/2 + 0*h**l + 1/2*h**4 = 0. What is h?
-1, 1
Factor 564/11*j + 39762/11 + 2/11*j**2.
2*(j + 141)**2/11
Let w(u) be the first derivative of -9/2*u - 1/4*u**3 - 7 - 21/8*u**2. Suppose w(d) = 0. Calculate d.
-6, -1
Suppose -3*z + 19 = 2*c, 0 = -3*z - 4*c - 0*c + 23. Let f be ((-4)/z)/(10/(-25)). Suppose 1 - 5/4*q + 1/4*q**f = 0. What is q?
1, 4
Let b(z) be the second derivative of -5/3*z**3 + 7*z - 1/6*z**4 - 6*z**2 + 0. Suppose b(v) = 0. What is v?
-3, -2
Let l(i) be the second derivative of 2*i**6/75 + 38*i**5/25 + 361*i**4/15 - 685*i. Factor l(z).
4*z**2*(z + 19)**2/5
Let l(p) be the second derivative of p**4/12 + 5*p**3/3 + 21*p**2/2 + 2*p + 11. What is m in l(m) = 0?
-7, -3
Let i(k) = -k**2 + 11*k + 45. Let x be i(14). Determine g so that 201/4*g**2 - 3 + x*g**3 - 3*g - 189/4*g**4 = 0.
-1, -2/9, 2/7, 1
Let d(v) be the second derivative of -v**7/5040 + v**6/180 - v**5/15 - v**4/4 - 5*v. Let s(t) be the third derivative of d(t). Factor s(j).
-(j - 4)**2/2
Let d be (-12)/18*((-7)/2 + -1). Suppose 5*g = -3*h - 2*h - 5, d*g = -2*h - 5. Factor 2/7*j**3 + 2/7*j**h + 0 + 0*j.
2*j**2*(j + 1)/7
Let m(k) be the first derivative of -5*k**6/6 + k**5 + 165*k**4/4 + 105*k**3 - 708. Factor m(c).
-5*c**2*(c - 7)*(c + 3)**2
Let b be 1/3 + (-55)/(-15). Suppose 4*l = 2*s + 8, 5 + 2 = 5*l - b*s. Determine z so that -15*z**4 + 9*z**2 + 3*z**3 + 4*z**3 + 2*z**3 - l*z**2 = 0.
-2/5, 0, 1
Suppose -19*o - 22*o + 94 = 6*o. Solve o - 2/3*k + 2/3*k**3 - 2*k**2 = 0.
-1, 1, 3
Suppose 2*p = -4*z + 72, 5*p - z - 158 = -0*z. Suppose p = 2*r + 28. Determine m so that 2/5*m**r - 2/5*m + 0 = 0.
0, 1
Let n(t) = t**3 + 11*t**2 + 10*t + 6. Let l be n(-10). Solve 10 - 3*m + l*m**3 - 10 - 3*m**5 = 0.
-1, 0, 1
Factor 371 + 38*t + 2*t**2 + 2*t**2 - 353.
2*(t + 9)*(2*t + 1)
Determine l, given that -75*l**3 + l**5 + 14*l**5 - 6*l**5 + 6*l**5 + 60*l - 68*l**2 - 12*l**2 + 80*l**4 = 0.
-6, -1, 0, 2/3, 1
Let w = 784621/6817356 + -1/81159. Let v = w + 3/28. Factor -v + 0*g + 2/9*g**2.
2*(g - 1)*(g + 1)/9
Let u(i) be the first derivative of 2*i**6 + 29*i**5/5 - 17*i**4/3 - 13*i**3/9 + i**2 - 26. Find q, given that u(q) = 0.
-3, -1/3, 0, 1/4, 2/3
Let i(j) be the third derivative of j**8/96 - 3*j**7/140 + j**6/120 - 7*j**2 + 16*j. Solve i(s) = 0 for s.
0, 2/7, 1
Let n(i) be the second derivative of -i**6/30 + i**5/10 + i**4/4 - 49*i. Determine j so that n(j) = 0.
-1, 0, 3
Let o(l) be the second derivative of -l**7/1260 - l**6/360 + 41*l**4/12 + 10*l. Let i(y) be the third derivative of o(y). Let i(j) = 0. What is j?
-1, 0
Let s(b) be the second derivative of -2*b**5/5 + 149*b**4/3 - 440*b**3/3 + 146*b**2 + 33*b + 3. Suppose s(z) = 0. What is z?
1/2, 1, 73
Let x(p) be the second derivative of -p**7/840 - 7*p**6/120 - 49*p**5/40 + 5*p**4/6 + 4*p. Let d(c) be the third derivative of x(c). Factor d(k).
-3*(k + 7)**2
Suppose 0 = -2*c + 5 - 1. Find q such that -c*q**2 - 2*q**2 + q**2 - 9*q = 0.
-3, 0
Let d be 2/(-3) + (-131)/(-3). Let h = -41 + d. Factor 14/3*z - 4/3 - 19/3*z**h - 4/3*z**4 + 25/6*z**3 + 1/6*z**5.
(z - 2)**3*(z - 1)**2/6
Let c(o) be the second derivative of o**6/45 - 23*o**5/30 - 25*o**4/18 + 23*o**3/9 + 8*o**2 + 75*o. What is d in c(d) = 0?
-1, 1, 24
Determine t so that -48/5*t**2 + 32/5*t**3 - 4/5 - 6*t = 0.
-1/4, 2
Solve 6/11 - 8/11*g**3 + 8/11*g - 2/11*g**4 - 4/11*g**2 = 0 for g.
-3, -1, 1
Let p(x) = 18 - 5*x**3 + 10*x + 8*x**2 - 6 + 4*x**3. Let j be p(9). Suppose -3*g**4 - 6*g**3 + 12*g - 2 - 24*g**2 + 2 + j*g**3 = 0. What is g?
0, 1, 2
Let q(j) be the third derivative of -3/280*j**7 + 0*j**4 + 5/1344*j**8 + 1/240*j**5 + 0 + 0*j + 0*j**3 - 16*j**2 + 1/160*j**6. Factor q(y).
y**2*(y - 1)**2*(5*y + 1)/4
Let g = 435 - 2167/5. Let c = 32/15 - g. Determine x so that -c*x - 8/15 - 2/15*x**2 = 0.
-2
Let h(b) = b**3 - 11*b**2 + 8*b + 24. Let m be h(10). Factor 0*q**3 - 22*q**4 + 5*q**3 - 20*q - 20*q**2 + 27*q**m.
5*q*(q - 2)*(q + 1)*(q + 2)
Solve 34/3*u + 0 - 1/3*u**2 = 0.
0, 34
Let b(w) be the third derivative of w**6/24 - w**5/12 - 5*w**4/6 + 10*w**3/3 + 61*w**2. Suppose b(z) = 0. What is z?
-2, 1, 2
Find w such that 0 - 27/4*w**3 + 63/4*w**2 - 3/4*w**4 - 33/4*w = 0.
-11, 0, 1
Factor 16/3*l - 2/9*l**3 + 4/3*l**2 - 128/9.
-2*(l - 8)*(l - 2)*(l + 4)/9
Suppose -t - 5*r = -97, -5*t - 4*r = -t - 340. Let 10*v - 33 - 33 + t - 28 - 2*v**2 = 0. Calculate v.
2, 3
Let d(r) = 2*r**2 - 2*r - 2. Let j(a) = -a**3 - 6*a**2 + 2. Let u be j(-6). Let o be d(u). Let -y - 8 + 2*y - 2*y**o - 2*y + 9*y = 0. What is y?
2
Let o = -14/1231 - -14926/13541. Let -o*a**2 - 16/11 - 2/11*a**3 - 24/11*a = 0. What is a?
-2
Let v(c) = 15*c**3 + 165*c**2 + 141*c. Let u(p) = -7*p**3 - 82*p**2 - 71*p. Let b(z) = -9*u(z) - 4*v(z). Suppose b(i) = 0. What is i?
-25, -1, 0
Let h(j) be the first derivative of -j**6/8 - 351*j**5/20 - 5391*j**4/8 - 5045*j**3/2 - 29583*j**2/8 - 9747*j/4 - 158. Factor h(b).
-3*(b + 1)**3*(b + 57)**2/4
Let j = -572 - -572. Let x(w) be the third derivative of -8/3*w**3 + 1/15*w**5 + j*w + 0*w**4 + 5*w**2 + 0. Determine i, given that x(i) = 0.
-2, 2
Factor 3/7*j**2 + 81/7*j + 78/7.
3*(j + 1)*(j + 26)/7
Let j = -35 + 37. Find y such that -258*y**3 - 2*y - 3*y**j + 2*y**2 + 259*y**3 = 0.
-1, 0, 2
Suppose 5*x = 3*o + 26 - 7, 4*o = 5*x - 22. Determine j so that 2*j**3 - x*j**3 + 18*j**4 + j**2 - 2*j**3 - 17*j**4 = 0.
0, 1
Let b(y) be the first derivative of -y**6/15 + y**5/5 + y**4/2 - 4*y**3/3 - 4*y**2 - 14*y + 20. Let k(g) be the first derivative of b(g). Factor k(a).
-2*(a - 2)**2*(a + 1)**2
Let g(a) be the third derivative of -a**5/270 - a**4/54 + a**3/9 - a**2 + 14. Find w such that g(w) = 0.
-3, 1
Let u(c) be the first derivative of c**6/660 - c**5/330 + c**2 - 2. Let x(p) be the second derivative of u(p). Factor x(k).
2*k**2*(k - 1)/11
Suppose -2*j - 4*z = 66 - 52, -5*z = -4*j + 37. Factor -4/3*x**2 + 0 + x + 1/3*x**j.
x*(x - 3)*(x - 1)/3
Let -2*w**2 + 0 - 1/3*w**5 - 8/3*w**3 + 3*w + 2*w**4 = 0. Calculate w.
-1, 0, 1, 3
Let m(h) be the first derivative of 1/26*h**4 - 8/13*h - 10/39*h**3 + 8/13*h**2 + 1. Suppose m(r) = 0. Calculate r.
1, 2
Let j(d) be the second derivative of d**7/84 - 7*d**6/60 + 19*d**5/40 - 25*d**4/24 + 4*d**3/3 - d**2 - 23*d. Find i, given that j(i) = 0.
1, 2
Let b(n) = -n**3 + 9*n**2 - 2*n + 4. Let w(a) = -a**2. Let i(q) = b(q) + 5*w(q). Let s be i(3). What is p in 1 + 3 - 6*p**3 + p**4 + 13*p**2 + s*p - 19*p = 0?
1, 2
Let x(b) be the first derivative of b**6 - 32*b**5/5 + 17*b**4 - 24*b**3 + 19*b**2 - 8*b - 97. Factor x(h).
2*(h - 1)**4*(3*h - 4)
Let i be (-8)/14*(-7)/2. Suppose 6*b = 5*b + i. Factor -v**3 - 6*v**2 - 2*v**3 + 0*v**3 - 6*v - b + v**3.
-2*(v + 1)**3
Let m(j) = j**3 + 5*j**2 - 2*j - 6. Suppose -3*w = 7 - 1. Let n(h) = 13*h - 30*h + 20*h + h**2 + 7 - h**3 - 7*h**2. Let r(l) = w*n(l) - 3*m(l). Factor r(k).
-(k - 1)*(k + 2)**2
Let m(p) = -37*p**3 + p**2. Let t be m(-1). What is x in -42*x + x**2 - t*x + 79*x = 0?
0, 1
Let u(r) = -r + 11. Let d be u(8). Determine g, given that 5 - 10*g**2 - 10*g**d + 0*g**5 + 9*g**4 - 2*g**4 + 5*g + 5*g**5 - 2*g**4 = 0.
-1, 1
Let r(j) be the second derivative of j**7/56 - 3*j**6/20 - 3*j**5/80 + 19*j**4/8 - 12*j**2 - 38*j + 1. Suppose r(x) = 0. Calculate x.
-2, -1, 1, 4
Let h(z) = -z - 1. Let m(j) = 14*j - 4*j**2 + 0 + 4 + 4 + 10. Let t(f) = -6*h(f) - m(f). What is k in t(k) = 0?
-1, 3
Let t(x) be the second derivative of 20/3*x**3 + 26*x + 0*x**2 + 3/2*x**6 + 0 + 15/2*x**5 + 35/3*x**4. Solve t(p) = 0 for p.
-2, -2/3, 0
Let f be 68/272 + 2/16. Find x such that -1/4*x - 1/8*x**2 + f = 0.
-3, 1
Let f(y) be the first derivative of y**5/5 - 2*y**4 + 23*y**3/3 - 14*y**2 + 12*y - 110. Factor f(s).
(s - 3)*(s - 2)**2*(s - 1)
Let w(r) be the third derivative of r**5/60 + r**3/6 - 11*r**2. Let s(m) = 9*m**2 