p**3 + v + 0*p. Solve i(f) = 0.
0, 2
Suppose -5 = -l + 3. Factor -7*a**2 + l*a**2 - a + 0*a**2 - 2.
(a - 2)*(a + 1)
Let q be ((-1)/3)/(3/(-9)). Let s = 5 - q. Factor -6*p**s - 2*p**2 + p**3 - 6*p**3 - p**3 - 2*p**5.
-2*p**2*(p + 1)**3
Let l be (-2)/(-1) + 0 + 1. Suppose -l*r**2 + 2*r**3 + 3*r**2 + r**2 + r**2 = 0. Calculate r.
-1, 0
Let a(f) = f**3 - 4*f**2 - 6*f + 8. Let l be a(5). Let d(z) be the first derivative of 0*z**2 - l - 4/21*z**3 + 2/35*z**5 + 2/7*z + 0*z**4. Factor d(b).
2*(b - 1)**2*(b + 1)**2/7
Let b(j) = j**4 + j**3 + j**2 + j. Let h(d) = 3*d**4 + 6*d**3 + 19*d**2 + 18*d + 2. Let o(k) = -21*b(k) + 3*h(k). Find i such that o(i) = 0.
-1, -1/4, 2
Let i be 36/(-30)*10/(-4). Factor r**2 - r - 4*r**3 + r**3 + 4*r**i + 0*r**3 - r**4.
-r*(r - 1)**2*(r + 1)
Let q = -213 - -1283/6. Let j(a) be the first derivative of 2/3*a - 2 + q*a**2 - 7/9*a**3. Let j(d) = 0. What is d?
-2/7, 1
Let z(m) be the third derivative of m**6/540 + m**5/270 - 5*m**4/108 + m**3/9 + 2*m**2. Determine l so that z(l) = 0.
-3, 1
Let r(o) = -o**2 - o + 4. Let y be r(-2). Let s be 48/90 + y/(-10). Find f such that -f**4 + 0*f - 1/3*f**2 + f**3 + 0 + s*f**5 = 0.
0, 1
Suppose -3*m + 17 - 8 = 0. Let d(f) be the first derivative of -6*f**2 - 99/25*f**5 + 2 + 3/10*f**4 + 29/5*f**m + 12/5*f + 9/5*f**6. Find v such that d(v) = 0.
-1, 1/2, 2/3, 1
Let q be 2*-7 - 8/4. Let n be (-2)/6*12/q. Factor -m + m**2 + 0 - n*m**3.
-m*(m - 2)**2/4
Suppose -n + 4*d = -36 + 4, -4*d = 3*n - 32. Factor -25*v**3 - 1 + n*v**2 + 4*v**2 - 4*v + 1.
-v*(5*v - 2)**2
Let d(b) be the third derivative of -7*b**5/45 + 19*b**4/18 + 4*b**3/3 - b**2. Determine x, given that d(x) = 0.
-2/7, 3
Let n be (-3)/(3/(-2)) + 1. Let c(b) be the first derivative of 1/12*b**n - 2 + 1/2*b - 3/8*b**2. Factor c(f).
(f - 2)*(f - 1)/4
Let a(j) be the third derivative of -j**7/420 - j**6/120 - j**5/120 + 12*j**2. Factor a(u).
-u**2*(u + 1)**2/2
Let b be -3*((-6)/(-4) + (-5)/2). Determine t, given that -2/3*t**b + 2/3 - 2*t + 2*t**2 = 0.
1
Solve -171*q**3 + 13*q**2 - 5*q**5 - 103*q**2 - 40*q**4 + 66*q**3 = 0 for q.
-3, -2, 0
Let w(t) = t**3 - 5*t**2 + 10*t - 2. Let s(n) = 2*n**3 - 10*n**2 + 21*n - 3. Let c(j) = -2*s(j) + 5*w(j). Factor c(v).
(v - 2)**2*(v - 1)
Solve -1/3*a**3 + 0 + 0*a**2 + 1/2*a**4 + 0*a - 1/6*a**5 = 0.
0, 1, 2
Find x, given that -6/5*x**2 + 12/5*x + 1/5*x**3 - 8/5 = 0.
2
Let g(a) be the third derivative of -a**5/660 - a**4/264 + a**3/33 - 7*a**2. Let g(d) = 0. Calculate d.
-2, 1
Let k(l) be the third derivative of 1/3*l**4 - l**3 + 0*l + 0 + 7*l**2 - 1/30*l**5. Determine h so that k(h) = 0.
1, 3
Suppose -5*n + k - 6 = -0*k, 3 = -2*n + k. Let u = n - -3. Solve -2*f**u + 0 - 2 + 4*f + 0 = 0 for f.
1
Suppose -4*y + 1 = -15. Let v = -2 + y. Factor -4*s**2 + 6*s**2 - 4*s - s**3 + 2*s**v.
-s*(s - 2)**2
Let j(y) be the third derivative of 1/60*y**5 - 2*y**2 - 1/3*y**3 + 0 - 1/24*y**4 + 0*y. Let j(r) = 0. Calculate r.
-1, 2
Let g be (-138)/(-24) - (3 + -3 + 5). Factor 1/4*p**5 + 0 + g*p**4 + 1/4*p**2 + 3/4*p**3 + 0*p.
p**2*(p + 1)**3/4
Let d(h) be the first derivative of -1/6*h**4 + 3*h - 1/3*h**3 + 2*h**2 + 2. Let m(x) be the first derivative of d(x). Suppose m(o) = 0. What is o?
-2, 1
Let z = -58 - -60. Let q(f) be the second derivative of -1/24*f**4 - 1/6*f**3 + 0 + z*f + 0*f**2. Solve q(j) = 0 for j.
-2, 0
Let f(n) be the second derivative of n**6/60 + n**5/20 + 19*n. Determine p, given that f(p) = 0.
-2, 0
Let x(a) = a**3 - 10*a**2 + 9*a + 4. Let b(n) = -5*n**3 + 40*n**2 - 35*n - 15. Let u(w) = 4*b(w) + 15*x(w). Factor u(z).
-5*z*(z - 1)**2
Let i(b) = -b + 6. Suppose 2*u - u = 3. Let y be i(u). Factor -3*s**2 + 3*s**y - 3*s**4 + s**5 + 0*s**3 + 2*s**2.
s**2*(s - 1)**3
Let y(i) be the first derivative of i**6/27 - 2*i**5/9 + 5*i**4/9 - 20*i**3/27 + 5*i**2/9 - 2*i/9 - 2. Factor y(t).
2*(t - 1)**5/9
What is p in -8/11*p**4 + 8/11*p**2 + 0 - 2/11*p + 2/11*p**3 = 0?
-1, 0, 1/4, 1
Let h(j) = 35*j - 2. Let g be h(1). Let u = g + -33. Factor -1/3 + 1/3*w**2 + u*w.
(w - 1)*(w + 1)/3
Let f(j) be the first derivative of -j**6/30 - 4*j**5/25 - 3*j**4/20 + 4*j**3/15 + 2*j**2/5 + 11. Solve f(p) = 0 for p.
-2, -1, 0, 1
Suppose 5*c**2 + 45 + 16*c + 30*c - 16*c = 0. What is c?
-3
Let f = 1/38 - -145/266. Let c be 15*5/15 - (1 + 1). Factor -2/7*p + 0 - 2/7*p**c + f*p**2.
-2*p*(p - 1)**2/7
Let r be ((-6)/12)/((-1)/252). Let c be r/4*4/6. Factor -6*s + 2*s**3 + 9*s**2 + s**3 + 3*s**2 + 6 + c*s.
3*(s + 1)**2*(s + 2)
Let p(l) be the second derivative of -l**6/6 - l**5 + 55*l**4/12 - 5*l**3 + 26*l. Factor p(m).
-5*m*(m - 1)**2*(m + 6)
Let n(i) be the second derivative of 0 + 0*i**4 + 1/420*i**7 + 0*i**3 + 1/300*i**6 + 0*i**5 + 0*i**2 - 9*i. Find j, given that n(j) = 0.
-1, 0
Let y(m) be the first derivative of m**4/2 + 2*m**3 + 3*m**2 - 2*m - 3. Let n(k) = 4*k**3 + 11*k**2 + 11*k - 5. Let g(j) = 2*n(j) - 5*y(j). Factor g(f).
-2*f*(f + 2)**2
Let i = 1 + 3. Suppose -b = -i - 0. Factor 10*a**4 - 2*a**2 + 2*a - b*a**5 - 1 - 6*a**3 + 1.
-2*a*(a - 1)**3*(2*a + 1)
Let x = -423 + 1693/4. Factor 2 + 3/2*q**2 + 3*q + x*q**3.
(q + 2)**3/4
Factor -2/7*g**4 + 0*g + 0*g**3 + 0*g**2 + 0.
-2*g**4/7
Let 5 - 18 + t - t**2 + 2*t + 11 = 0. What is t?
1, 2
Let m(l) be the second derivative of -5*l**7/42 - l**6/2 + l**5 + 20*l**4/3 - 40*l**2 - 14*l. Factor m(j).
-5*(j - 2)*(j - 1)*(j + 2)**3
Let b be 18/36 + (-59)/120. Let q(z) be the third derivative of 0 + b*z**5 + 3*z**2 - 1/480*z**6 - 1/96*z**4 + 0*z + 0*z**3. Factor q(c).
-c*(c - 1)**2/4
Let u(j) = 4*j**3 - 4*j**2 - 2*j. Let g(h) = -4*h - 17*h**2 + h**4 - 3*h + 15*h**3 - 2*h + h**2. Let b(y) = 2*g(y) - 9*u(y). Solve b(r) = 0.
0, 1, 2
Factor 0 - 2/5*q**4 + 2*q**2 + 4/5*q - 2/5*q**5 + 6/5*q**3.
-2*q*(q - 2)*(q + 1)**3/5
Let g be -5 + (-7)/(21/(-6)). Let h = g + 5. Let -4 + 34*r**2 - 6*r - 37*r**h + 1 = 0. Calculate r.
-1
Let w(a) = -21*a**4 + 37*a**3 - 24*a**2 - 5*a. Let p(j) = -10*j**4 + 18*j**3 - 12*j**2 - 2*j. Let x(s) = -13*p(s) + 6*w(s). Factor x(i).
4*i*(i - 1)**3
Factor -18/7*s**2 + 8/7 - 24/7*s + 2*s**3.
2*(s - 2)*(s + 1)*(7*s - 2)/7
Let p(x) be the second derivative of 10/3*x**3 + 2*x**2 + 2*x + 7/20*x**5 + 0 + 23/12*x**4. Factor p(q).
(q + 1)*(q + 2)*(7*q + 2)
Let w = -61 + 131. Suppose -3*v - 28 + w = 0. Factor v*n**2 + 2 + 6 + 18*n - 4.
2*(n + 1)*(7*n + 2)
Let n(d) be the third derivative of -d**8/1848 - d**7/1155 + d**6/330 + d**5/165 - d**4/132 - d**3/33 + 17*d**2. What is m in n(m) = 0?
-1, 1
Let h = -28 - -30. Factor -y - 2/3*y**h - 1/3 + y**4 + 2/3*y**3 + 1/3*y**5.
(y - 1)*(y + 1)**4/3
Factor 1/5*j**3 + 1/5*j - 2/5*j**2 + 0.
j*(j - 1)**2/5
Factor -4/3 - 4*l - 4/3*l**3 - 4*l**2.
-4*(l + 1)**3/3
Let v(c) be the third derivative of 5*c**8/112 - c**7/6 + c**6/12 + 28*c**2. Factor v(r).
5*r**3*(r - 2)*(3*r - 1)
Factor 2/9*d**3 - 2/9*d + 0*d**2 + 0.
2*d*(d - 1)*(d + 1)/9
Suppose 0 = 2*y - 15 + 3. Let s = y - 3. Let -4*g**3 - g + 0*g + 3*g**s - 2*g**2 = 0. Calculate g.
-1, 0
Let x(l) = -3*l**3 - l**2 + l + 1. Let m be x(-1). Suppose -2*f = -m*h, -4*f = -3*h - 3*f + 4. Suppose 0*j + 0 - 6/7*j**3 + 2/7*j**h - 8/7*j**4 = 0. What is j?
-1, 0, 1/4
Suppose 3*f = -f + 16. Let d be 1 + -1*2/f. Let 3/4*b**3 + 0*b**4 + 0*b + d*b**2 - 1/4*b**5 + 0 = 0. Calculate b.
-1, 0, 2
Let z(h) = -h**2 - h - 1. Let p(g) = -4*g**3 + 86*g**2 - 586*g + 1374. Let b(l) = -p(l) - 2*z(l). Let b(q) = 0. What is q?
7
Let w(a) be the first derivative of 2/3*a**6 - 7/3*a**3 - 13/6*a**2 + 1/12*a**4 + 23/15*a**5 - 2/3*a + 3. Suppose w(s) = 0. Calculate s.
-1, -2/3, -1/4, 1
Let n(m) be the first derivative of 10*m**5/3 - 110*m**4/3 + 376*m**3/3 - 352*m**2/3 + 128*m/3 - 1. Solve n(y) = 0.
2/5, 4
Let j(v) = -24*v**3 - 289*v**2 - 941*v - 221. Let g(a) = 60*a**3 + 723*a**2 + 2352*a + 552. Let w(f) = 5*g(f) + 12*j(f). Factor w(n).
3*(n + 6)**2*(4*n + 1)
Let i(m) = -8*m**4 + m**3 - m**2 + 6*m + 16. Let p be 6/8*4/1. Let x(q) = q**4 - q**3 - q**2 - 1. Let t(a) = p*i(a) + 21*x(a). Factor t(j).
-3*(j - 1)*(j + 1)*(j + 3)**2
Let p = 20 + -18. Let k(x) be the first derivative of -2/5*x - 2/5*x**5 - 2 - 4/3*x**3 - x**p - x**4 - 1/15*x**6. Factor k(u).
-2*(u + 1)**5/5
Let -15*x + 3*x**2 - 1/5*x**3 + 25 = 0. What is x?
5
Let f(r) be the first derivative of -3*r**5/4 + 3*r**4/16 + 5*r**3/4 - 3*r**2/8 + 3. Let f(c) = 0. Calculate c.
-1, 