-4, 1
Let t(i) be the first derivative of -i**6/15 + 16*i**5/25 - 11*i**4/5 + 16*i**3/5 - 9*i**2/5 - 105. Suppose t(b) = 0. What is b?
0, 1, 3
Factor 0 + 1/6*s**3 - 17/6*s - 8/3*s**2.
s*(s - 17)*(s + 1)/6
Let k(u) be the third derivative of 0*u + 0 + 2/105*u**7 + 7/24*u**4 + 1/24*u**6 - 19/60*u**5 + 4*u**2 + 1/2*u**3. Factor k(i).
(i - 1)**2*(i + 3)*(4*i + 1)
Factor -16/9*s**2 + 0*s + 0 + 4/9*s**4 + 0*s**3.
4*s**2*(s - 2)*(s + 2)/9
Let t(r) be the third derivative of 3*r**2 + 0*r - 1/42*r**7 - 5/12*r**4 - 5/12*r**5 + 0 + 0*r**3 - 1/6*r**6. Solve t(n) = 0.
-2, -1, 0
Let z(r) be the third derivative of -r**6/60 + 9*r**5/10 - 14*r**4 + 304*r**3/3 + 20*r**2. Factor z(j).
-2*(j - 19)*(j - 4)**2
Let k = 154 - 158. Let d be ((-135)/34 - k)*(0 + 8). Suppose -d*z + 2/17*z**2 + 2/17*z**3 + 0 = 0. What is z?
-2, 0, 1
Let w(q) be the second derivative of -5*q**7/84 - q**6/4 - 9*q**5/20 - 9*q**4/20 + 13*q**3/3 - 19*q. Let b(l) be the second derivative of w(l). Factor b(s).
-2*(5*s + 3)**3/5
Let s(h) be the first derivative of -h**6/1440 - 3*h**5/160 - h**4/12 + 19*h**3/3 - 13. Let w(o) be the third derivative of s(o). Factor w(p).
-(p + 1)*(p + 8)/4
Let k(t) = 4*t**3 - 12*t**2 + 35*t + 31. Let o(f) = -3*f**3 + 6*f**2 - 18*f - 15. Let p(x) = -3*k(x) - 5*o(x). Factor p(s).
3*(s - 2)*(s + 1)*(s + 3)
Let -4/5*x**2 - 336/5*x - 7056/5 = 0. What is x?
-42
Let j(t) be the third derivative of -t**8/15120 + t**7/945 + 7*t**5/60 + 2*t**2. Let q(c) be the third derivative of j(c). Let q(u) = 0. Calculate u.
0, 4
Factor 0 - 14/11*u**3 - 10/11*u**4 + 0*u - 6/11*u**2 - 2/11*u**5.
-2*u**2*(u + 1)**2*(u + 3)/11
Suppose -33 = -4*b + 4*x + 11, 2*b + 2*x = 42. Let k be 18/(-27) + b/6. Factor -1/4*a**3 + 0 + 0*a - 3/4*a**k.
-a**2*(a + 3)/4
Let o(n) be the third derivative of -n**6/30 - n**5/15 - 10*n**2 - 3*n. Factor o(a).
-4*a**2*(a + 1)
Suppose 0 = 21*t - 26*t + 15. Let c(a) be the second derivative of 0*a**2 - 1/60*a**5 - 2*a + 0 + 1/36*a**4 + 0*a**t. Suppose c(y) = 0. Calculate y.
0, 1
Find l, given that 18/11 + 2/11*l**2 - 12/11*l = 0.
3
Let d(a) be the first derivative of -2*a**5/15 + a**4/2 + 20*a**3/9 - 19. Find f such that d(f) = 0.
-2, 0, 5
Let y(o) = -o**3 - 7*o**2 + 1. Let m be y(-7). Let t(v) be the first derivative of -4*v**2 + 2/5*v**5 - m + 16/3*v**3 + 0*v - 5/2*v**4. Solve t(b) = 0 for b.
0, 1, 2
Let g(w) = -2*w**3 + 50*w**2 - 48*w + 10. Let t be g(24). Suppose 2 = t*h - 9*h. Let 10/9*m**5 + 2*m**3 - 4/9*m**h - 8/3*m**4 + 0*m + 0 = 0. Calculate m.
0, 2/5, 1
Let l be (30/8 - 4)*252/(-315). Factor -16/5*h**2 - l - 8/5*h.
-(4*h + 1)**2/5
Let u(s) be the third derivative of s**7/35 + 17*s**6/30 + 34*s**5/15 + 23*s**4/6 + 3*s**3 + 3*s**2 + 21. Factor u(m).
2*(m + 1)**2*(m + 9)*(3*m + 1)
Let b(p) be the second derivative of 3*p**5/20 + 3*p**4/4 + 3*p**3/2 + 3*p**2/2 + 81*p. Determine m, given that b(m) = 0.
-1
Factor -56*g**2 + 28*g**2 - g + 27*g**2.
-g*(g + 1)
Let i(w) be the third derivative of 1/18*w**4 + 2/945*w**7 - 4/27*w**3 - 3*w**2 + 0*w + 1/135*w**5 - 1/90*w**6 + 0. Solve i(c) = 0.
-1, 1, 2
Let -3104/7*g**2 - 1136/7*g**3 + 4576/7*g + 100/7*g**4 - 2/7*g**5 + 10816/7 = 0. What is g?
-2, 2, 26
Let l(s) = -s**3 + 27*s**2 + 28*s + 10. Let w be l(28). Determine c, given that 25*c - 10*c + 2 + 3 + w*c**2 = 0.
-1, -1/2
Let d(y) be the first derivative of 9*y**4/20 - 88*y**3/15 - 119*y**2/10 - 22*y/5 + 131. Find k such that d(k) = 0.
-1, -2/9, 11
Let n(s) be the third derivative of s**5/240 + s**4/12 + 5*s**3/8 - 6*s**2 - 2*s. Factor n(x).
(x + 3)*(x + 5)/4
Let p(c) be the third derivative of -c**6/24 + c**5/3 - 25*c**4/24 + 5*c**3/3 + 14*c**2 - 4*c. Factor p(t).
-5*(t - 2)*(t - 1)**2
Let d(b) = 2*b - 5. Let k = 28 + -24. Let p be d(k). Factor 5/2*m**2 + 4*m + 2 + 1/2*m**p.
(m + 1)*(m + 2)**2/2
Suppose -5*k + 8 = 18. Let g(c) = 4*c**3 - 3*c**2 - 6*c + 5. Let t(v) = -3*v**3 + 2*v**2 + 5*v - 4. Let z(i) = k*g(i) - 3*t(i). Factor z(u).
(u - 1)**2*(u + 2)
Let u(z) = z**3 + 34*z**2 - 71*z + 38. Let m be u(-36). Let k(v) be the first derivative of -m + 7/12*v**3 - 1/2*v**2 - v - 1/8*v**4. Let k(g) = 0. Calculate g.
-1/2, 2
Let h be 6 + -14 + 9 - (-1)/1. Let j(v) be the second derivative of -2/3*v**3 + 1/15*v**6 + 1/5*v**5 + 0 - 2*v - 1/6*v**4 + 0*v**h. Find n, given that j(n) = 0.
-2, -1, 0, 1
Let c be 34/(-9) + 58/(-261). Let u be (c/4 + 6/9)*-1. Factor -2/3*x**4 - 1/3*x**5 + 0*x + 0 - u*x**3 + 0*x**2.
-x**3*(x + 1)**2/3
Let t be (-8)/(-3)*(-6)/(-4). Suppose t*d - 3 = 5. Factor -6*m**d - 21*m**4 + 10*m**2 - 6*m + 17*m**2 + 6*m**3.
-3*m*(m - 1)*(m + 1)*(7*m - 2)
Let u(w) = w**2 + 5*w + 3. Let s be u(-5). Let a be 18/8*(-1428)/(-153). Suppose -b**s - 17*b**2 + 2*b**4 - 5*b**3 + a*b**2 = 0. Calculate b.
0, 1, 2
Let k(x) = -10*x**2 + 80*x - 325. Let z(a) = -9*a**2 + 80*a - 324. Suppose -5*r - 18 + 43 = 0. Let i(j) = r*z(j) - 4*k(j). Find s, given that i(s) = 0.
8
Find i such that -44*i**3 - 64*i - 125*i**5 + 64*i + 128*i**5 - 90*i**2 - 13*i**3 = 0.
-3, -2, 0, 5
Suppose 11 = k - 4*c, 0 = 2*k + 3*k - 4*c - 39. Factor -23*s**4 + 27*s**4 - k*s**5 + s**5.
-2*s**4*(3*s - 2)
Solve 0 + 46*a - 1/2*a**3 - 91/2*a**2 = 0 for a.
-92, 0, 1
Let -586*w**2 + 28*w - 11*w**3 - w**3 + 24 + 538*w**2 + 8*w**4 = 0. Calculate w.
-2, -1/2, 1, 3
Let x be 5 - (-3)/(-2 + -1). Suppose 0 = 7*h - 5*h - x. Determine s so that 2/3*s + 0 - 2/3*s**h = 0.
0, 1
Suppose -18*j**3 - 24 - 288/5*j - 12/5*j**4 - 246/5*j**2 = 0. Calculate j.
-5/2, -2, -1
Let w(j) = -48*j**3 + 216*j**2 - 436*j + 320. Let m(g) = -g**4 + 48*g**3 - 216*g**2 + 435*g - 321. Let l(c) = -4*m(c) - 3*w(c). Solve l(n) = 0 for n.
3
Let u(a) be the first derivative of -a**4/48 + a**3/24 - 3*a + 4. Let t(h) be the first derivative of u(h). Factor t(j).
-j*(j - 1)/4
Let f(n) be the second derivative of -19*n + 25/2*n**3 + 1/20*n**5 + 0 - 5/4*n**4 - 125/2*n**2. Factor f(i).
(i - 5)**3
Let x = -148877/23 + 6473. Find s, given that -6/23 + x*s**2 + 4/23*s = 0.
-3, 1
Suppose -2*u = 3*g - 44, -2*u = -5*u + g + 55. Solve 49*h - u*h + 9*h**3 - 27*h + 12*h**2 = 0.
-1, -1/3, 0
Let h(t) be the first derivative of 9 - 48*t**3 - 9*t**4 - 3/5*t**5 + 0*t - 96*t**2. Factor h(n).
-3*n*(n + 4)**3
Let y(g) be the second derivative of -g**7/6 + g**6/15 + 63*g**5/20 + 5*g**4/6 - 46*g**3/3 + 12*g**2 - 51*g. What is b in y(b) = 0?
-2, 2/7, 1, 3
Let g(z) = 3*z**2 + z + 11. Let o be g(4). Suppose -4*a + 71 = o. Factor 2/3*c**a + 0*c - 2/3*c**3 + 2/3*c**5 + 0 - 2/3*c**4.
2*c**2*(c - 1)**2*(c + 1)/3
Let t be (30 - 0)*162/405. Let a(o) be the first derivative of -3/8*o**4 + 1/8*o**6 + o**3 + 0*o + o**2 - 7/20*o**5 - t. Let a(c) = 0. What is c?
-1, -2/3, 0, 2
Let g(h) be the third derivative of h**7/525 + h**6/25 + 11*h**5/150 + 92*h**2. Find a such that g(a) = 0.
-11, -1, 0
Let a = 5 + -2. Let l = -8 + 10. Factor -4 - 2*u + 10*u**5 - 8*u**a + 13*u**2 + 10*u**2 - 16*u**4 - 3*u**l.
2*(u - 1)**3*(u + 1)*(5*u + 2)
Let v(z) = 102*z - 4440. Let u be v(44). Factor 4/3*n**2 + u - 16*n.
4*(n - 6)**2/3
Let w(m) be the second derivative of 1/294*m**7 + 0 + 1/140*m**5 - 1/70*m**6 + 1/28*m**4 - 1/21*m**3 + 13*m + 0*m**2. Factor w(f).
f*(f - 2)*(f - 1)**2*(f + 1)/7
Let p = -73/17 + 2207/510. Let l(y) be the second derivative of p*y**4 + 1/5*y**2 - 2/15*y**3 + y + 0. Factor l(i).
2*(i - 1)**2/5
Let x(m) be the first derivative of m**6/10 + 3*m**5/20 - m**4/2 - 2*m + 4. Let c(f) be the first derivative of x(f). Factor c(a).
3*a**2*(a - 1)*(a + 2)
Determine d, given that 1/2*d**2 + 1/2*d - 15 = 0.
-6, 5
Let f be (-22)/2 - (10 + 148/(-7)). Factor f*a**2 + 0 + 11/7*a.
a*(a + 11)/7
Let o(r) be the second derivative of -5*r**4/12 + 45*r**3/2 + 70*r**2 + r + 207. Let o(n) = 0. What is n?
-1, 28
Let j be 4 - ((-5)/(-5) + -15). What is p in 3*p**2 + 3*p**2 - 10*p + j*p - 8*p**2 = 0?
0, 4
Factor 3996*q**4 - 7980*q**4 + 3988*q**4 - 104*q**3.
4*q**3*(q - 26)
Let h(m) be the third derivative of m**5/60 - m**4/24 - m**3/3 - 7*m**2. Let v(k) = 0 + 3 + 3*k**2 + 2*k - 4*k**2. Let r(f) = 3*h(f) + 2*v(f). Factor r(o).
o*(o + 1)
Suppose -6 = -7*a + 29. Suppose u + 6*t = t - 23, 30 = a*u - 4*t. What is o in 32/7*o - 10*o**u - 388/7*o**4 + 8/7 - 16*o**5 - 370/7*o**3 = 0?
-2, -1, -1/2, -1/4, 2/7
Let p(w) be the first derivative of 7*w**4 - 6*w - w**6 - 4/3*w**3 + 28 - 11*w**2 + 2*w**5. Solve p(h) = 0 for h.
