**3 + 1/30*t**4 + 0*t - 1/150*t**6 - 3*t**2 + 0*t**5. Solve r(p) = 0.
-1, 1
Let c be 14/2 + 61/(-9). Solve 2/9*d**5 + 0 - c*d - 4/9*d**4 + 4/9*d**2 + 0*d**3 = 0 for d.
-1, 0, 1
Factor -5/6*b**2 - 5/6 + 5/3*b.
-5*(b - 1)**2/6
Let h(w) be the third derivative of w**7/280 - w**5/40 - w**3/6 - 4*w**2. Let o(l) be the first derivative of h(l). Factor o(f).
3*f*(f - 1)*(f + 1)
Let p(l) be the third derivative of l**8/3360 + l**7/280 + l**6/60 + l**5/30 - l**3/6 - 2*l**2. Let o(u) be the first derivative of p(u). Factor o(h).
h*(h + 2)**3/2
Let t(u) be the second derivative of u**4/18 + u**3/9 - 2*u**2/3 - 15*u. Factor t(l).
2*(l - 1)*(l + 2)/3
Let v(c) be the second derivative of c**7/3360 - c**5/480 + c**3/3 + c. Let f(d) be the second derivative of v(d). Factor f(j).
j*(j - 1)*(j + 1)/4
Suppose 5*c = -0 + 10. Solve 3*j + 4*j**2 - 2*j**4 - 4*j**3 + 2*j**5 - c + 4*j - 5*j + 0*j = 0 for j.
-1, 1
Suppose -2/13*q - 2/13*q**2 + 2/13 + 2/13*q**3 = 0. Calculate q.
-1, 1
Let t(c) be the first derivative of c**7/42 + c**6/15 - 3*c**5/20 - c**4/3 + 2*c**3/3 - 4*c + 4. Let p(f) be the first derivative of t(f). Factor p(m).
m*(m - 1)**2*(m + 2)**2
Let t = 39/110 + 1/110. Factor 2/11*r + 2/11*r**2 - t.
2*(r - 1)*(r + 2)/11
Suppose 7*x - 1045 = 2*x. Let s = -1879/9 + x. Solve -2/9*c**5 - 2/3*c**4 + 0*c - 2/3*c**3 - s*c**2 + 0 = 0 for c.
-1, 0
Let y(i) be the first derivative of i**4/22 - 17. Find v such that y(v) = 0.
0
Let y(x) be the third derivative of -x**6/1440 - x**5/180 - 5*x**4/288 - x**3/36 + 22*x**2. Factor y(g).
-(g + 1)**2*(g + 2)/12
Let u(j) = -2*j**3 - 6*j**2 - 2*j. Let q(s) = 14*s + 30*s**2 - 5*s + 9*s**3 + 0*s. Let r(y) = 5*q(y) + 24*u(y). Solve r(n) = 0 for n.
0, 1
Let g(y) = -y**3 + 11*y**2 - 7*y + 5. Let r(c) = -12*c**2 + 6*c - 6. Let w(d) = -3*g(d) - 2*r(d). Factor w(v).
3*(v - 1)**3
Suppose -5*l + 7 = -8. Suppose -6*d**4 + d**3 - 5*d**2 + 2*d**2 - 10*d**l = 0. What is d?
-1, -1/2, 0
Suppose -y - 3*c = -3, 4*y - 5*c - 46 = -0. Let h be 43/y - 2/(-9). Determine g so that 1/3 - 8/3*g**4 + 7/3*g**2 + 4/3*g**h + 1/3*g**3 - 5/3*g = 0.
-1, 1/2, 1
Let w(q) be the third derivative of -9/40*q**6 - q**3 - q**2 + 9/8*q**4 + 1/10*q**7 + 0 + 0*q - 1/4*q**5. Factor w(s).
3*(s - 1)**2*(s + 1)*(7*s - 2)
Suppose -c = -5*c + 16. Suppose -5*g + c*f = -f - 15, 4*g - 21 = -5*f. Factor p**4 + 2*p**3 - 2*p**5 + 2*p**2 - 5*p**4 + 2*p**g.
-2*p**2*(p - 1)*(p + 1)**2
Let y(h) be the second derivative of h**6/15 + h**5/2 + 3*h**4/2 + 7*h**3/3 + 2*h**2 - 4*h. Factor y(u).
2*(u + 1)**3*(u + 2)
Let h = 63/2 - 19. Suppose -2*q = 1 - 5. Solve 0 - h*x**3 - q*x - 10*x**2 = 0 for x.
-2/5, 0
Let p(d) = 12*d - 151. Let w be p(13). Find b, given that 14*b**3 - 14*b**w + 0 + 41/2*b**4 + 2*b**2 + 0*b = 0.
-2/7, -1/4, 0, 2
Let g(k) = -2*k**3 - k**2 + k + 4. Let w be g(-4). Let i = 341/3 - w. Suppose i*y**2 + 7/3*y + 2/3 = 0. Calculate y.
-1, -2/5
Let r(i) be the second derivative of i**5/210 + i**4/63 + i**3/63 + 35*i - 2. Factor r(h).
2*h*(h + 1)**2/21
Let s(l) be the first derivative of l**9/3024 + l**8/1680 + l**3 + 4. Let w(j) be the third derivative of s(j). Solve w(g) = 0.
-1, 0
Let q(m) be the third derivative of -m**4/24 + m**3 - m**2. Let c be q(4). Solve 8/9*h + 8/9 + 2/9*h**c = 0.
-2
Let w(g) = 4*g**5 - g**3 + 3*g**2. Let f(h) = -h**5 - h**2. Let u = 8 + -11. Let m = 0 + u. Let b(k) = m*f(k) - w(k). Factor b(x).
-x**3*(x - 1)*(x + 1)
Find v, given that -3*v + 4*v + 0*v**3 + 0*v**3 - v**3 = 0.
-1, 0, 1
Let q(o) = o**3 + o**2 + o - 2. Let b be q(-2). Let f be (-2 + 0/(-2))/b. Let 5*m - 2 - 9/2*m**2 + 7/4*m**3 - f*m**4 = 0. What is m?
1, 2
Find i such that 3/5*i**2 + 1/5*i - 2/5 = 0.
-1, 2/3
Suppose 3*c - 6*c - 18 = 0. Let s be 0 + 2/(c/(-15)). Let f**3 + 3*f**3 - s*f**3 + 3*f**2 + 1 - 3*f = 0. Calculate f.
1
Let n(q) be the first derivative of q**6/39 - 4*q**5/65 + q**4/26 + 10. Factor n(r).
2*r**3*(r - 1)**2/13
Let y(c) be the second derivative of c**6/15 + 3*c**5/10 - c**4/6 - c**3 - 2*c. Factor y(m).
2*m*(m - 1)*(m + 1)*(m + 3)
Let s = -7 + 21. Suppose -v = 5*d - 7, 0 = 2*d - 3*d + 4*v + s. Determine q, given that -48*q**4 + 3 + 100*q**d + 10*q + 52*q**3 - 11 - 14*q**2 - 2*q = 0.
-2/3, -1/2, 1/4, 2
Let l be 0 + -1 - (-7)/7. Suppose 3*r = -l*r. Factor 0*i**2 + r*i + 0 - 2/7*i**4 + 4/7*i**3.
-2*i**3*(i - 2)/7
Let o(i) be the second derivative of -i**5/60 - 5*i**4/36 - 7*i**3/18 - i**2/2 + 28*i. Let o(j) = 0. Calculate j.
-3, -1
Let t(p) = 2*p + 23. Let z be t(-12). Let y be (-3 - z) + (12 - 8). Factor 0 - 2/3*q**3 - 4/3*q + y*q**2.
-2*q*(q - 2)*(q - 1)/3
Factor -2/3 - a - 1/3*a**2.
-(a + 1)*(a + 2)/3
Suppose 3*a = -2*a + 25. Let l(v) be the third derivative of 2/135*v**a + 1/180*v**6 - 2/27*v**3 + 0 + 0*v - 1/108*v**4 - v**2. Factor l(k).
2*(k + 1)**2*(3*k - 2)/9
Let g(x) be the first derivative of x**4/48 + x**3/12 + x**2/8 - 2*x - 2. Let n(t) be the first derivative of g(t). Find w such that n(w) = 0.
-1
Let y(z) be the second derivative of 0*z**3 + 1/40*z**5 + 0 - 1/24*z**4 + 2*z + 0*z**2. Determine m so that y(m) = 0.
0, 1
Let i(u) = u + 1. Let s(m) = -4*m**2 - 4*m. Let o(z) = -3*i(z) - s(z). Suppose o(t) = 0. Calculate t.
-1, 3/4
Let t(z) be the first derivative of -4*z**5/15 - 7*z**4/3 - 8*z**3 - 40*z**2/3 - 32*z/3 - 11. Determine o so that t(o) = 0.
-2, -1
Let -4*t**5 - 3*t**2 - 3*t**3 - 2*t**2 + 7*t**5 + 6*t**4 - t**2 = 0. What is t?
-2, -1, 0, 1
Let l(h) be the third derivative of 6*h**2 + 0*h + 1/630*h**7 + 0*h**4 + 0*h**3 + 0 + 1/360*h**6 + 0*h**5. Let l(j) = 0. What is j?
-1, 0
Let f(o) be the second derivative of 7/30*o**5 + 0 + 2/45*o**6 - 1/9*o**4 - 1/9*o**7 + 0*o**2 + 0*o**3 - o. Solve f(s) = 0 for s.
-1, 0, 2/7, 1
Let j(i) = 6*i - 46. Let n be j(8). Factor -1 - 1/2*s**n - 3/2*s.
-(s + 1)*(s + 2)/2
Let d be 2/(-5) - (-8)/20. Factor d + 2/7*g**3 + 0*g + 0*g**2.
2*g**3/7
Suppose 2*i - 13 = -k, k = -5*i + 22 + 3. Let p = i - -1. Suppose 3*h**3 + h**3 - h**2 + 14*h**4 - h**2 + 8*h**p = 0. What is h?
-1, 0, 1/4
Let h(x) be the first derivative of -x**4/4 - x**3/3 - 2*x - 6. Let f be h(-2). Factor 3/2*s**f - 2*s + s**3 - 2 - 1/2*s**4.
-(s - 2)**2*(s + 1)**2/2
Let v(c) be the first derivative of -c**3/9 + c**2/2 - 2. Factor v(h).
-h*(h - 3)/3
Let t(x) be the third derivative of x**8/112 - x**6/40 + 5*x**2. Factor t(j).
3*j**3*(j - 1)*(j + 1)
Let x(l) be the second derivative of -l**8/10080 - l**7/1260 - l**6/540 - l**4/12 - l. Let w(f) be the third derivative of x(f). Factor w(o).
-2*o*(o + 1)*(o + 2)/3
Let u = -6270/7 + 899. Let d = -3 + u. Factor d*s**4 - 2/7*s**2 + 0 - 2/7*s + 2/7*s**3.
2*s*(s - 1)*(s + 1)**2/7
Let l(r) be the first derivative of r**5/80 + r**4/16 + r**3/8 + r**2/8 - r + 2. Let g(d) be the first derivative of l(d). Factor g(a).
(a + 1)**3/4
Let s(l) be the second derivative of -l**6/30 + 5*l**2/2 + 7*l. Let r(t) be the first derivative of s(t). What is b in r(b) = 0?
0
Let v(b) be the first derivative of -2*b**3/3 - 2*b**2 + 6*b + 14. Factor v(s).
-2*(s - 1)*(s + 3)
Let p = 7 + -3. Let o(x) = x**3 + 8*x**2 - 10*x + 1. Let d(c) = -2*c**3 - 8*c**2 + 10*c. Let s(u) = p*o(u) + 3*d(u). Find r, given that s(r) = 0.
1, 2
Let y(v) be the third derivative of 4*v**7/35 - 3*v**6/10 + 9*v**5/40 - 4*v**2. Determine p so that y(p) = 0.
0, 3/4
Let q(u) be the first derivative of 0*u**2 - 2/15*u**3 + 2/5*u + 2. Factor q(m).
-2*(m - 1)*(m + 1)/5
Let m(u) = -2*u - 2. Let s(v) = 2*v + 2. Let g(q) = -5*m(q) - 6*s(q). Let l be g(-3). Determine i, given that i**4 - 4*i**l - 3*i**4 + 3*i**4 = 0.
0
Let k(w) be the second derivative of w**5/10 + w**4/6 + 3*w. Determine i so that k(i) = 0.
-1, 0
Let n be ((-35)/20 - -1)/(33/(-8)). Factor 4/11 + n*m**2 - 6/11*m.
2*(m - 2)*(m - 1)/11
Let h(t) = 3*t**5 - 12*t**4 + 12*t**3 - 4*t**2 - 4*t + 4. Let f(l) = -6*l**5 + 24*l**4 - 24*l**3 + 9*l**2 + 9*l - 9. Let g(o) = 4*f(o) + 9*h(o). Factor g(r).
3*r**3*(r - 2)**2
Let i(c) = 2*c**4 - 6*c**3 - 2*c**2 - 3. Let u(a) = a**3 + 1. Let s(y) = 2*i(y) + 6*u(y). Factor s(r).
2*r**2*(r - 2)*(2*r + 1)
Let i(t) be the first derivative of t**6/1080 + t**5/360 - t**3/3 + 2. Let j(k) be the third derivative of i(k). Solve j(q) = 0.
-1, 0
Let d be 0/(-1 + (1 - 1)). Suppose 12 = -4*v - d*v. Let z(l) = l**2 + 4*l. Let u(o) = 3*o**2 + 11*o. Let q(p) = v*u(p) + 8*z(p). Factor q(x).
-x*(x + 1)
Let