 1/3*d + 4/3*d**2 - 1/3*d**5 - 2*d**3.
-d*(d - 1)**4/3
Factor -12*i**3 + 4 + 20*i**2 + 19*i**3 - 13*i**3 - 11*i - 7*i.
-2*(i - 2)*(i - 1)*(3*i - 1)
Let t(v) be the second derivative of -3/2*v**4 + 13/10*v**5 - 1/3*v**6 + 2*v**2 + 0 - 2*v - 1/3*v**3. Factor t(k).
-2*(k - 1)**3*(5*k + 2)
Let d = 68729/9 + -7633. Let b = -4 + 6. Find k such that -2/9*k**b + 16/9*k - d = 0.
4
Let x = -754 + 757. Let 1/5*b**3 - 9/5 - 7/5*b**2 + x*b = 0. Calculate b.
1, 3
Let d be (-511)/20*(-36)/(-42). Let b = 45/2 + d. Solve 3/5*h**3 + b*h**2 + 0 - 6/5*h = 0.
-2, 0, 1
Factor -16/5 + 2/5*h**2 + 14/5*h.
2*(h - 1)*(h + 8)/5
Let a(k) be the second derivative of 0 + 0*k**3 + 5*k + 1/40*k**6 + 0*k**4 + 1/2*k**2 + 0*k**5. Let g(n) be the first derivative of a(n). Solve g(f) = 0 for f.
0
Let l(n) be the first derivative of n**5/80 - n**4/48 + 20*n + 15. Let x(a) be the first derivative of l(a). Suppose x(q) = 0. Calculate q.
0, 1
Let n = 79 - 43. Suppose 2*j = -5*t - 3, 4*j + 0*j = 4*t + n. What is s in -2*s**2 + 2*s + 4*s**2 - j + 2 = 0?
-2, 1
Let u(h) be the second derivative of -2*h**6/15 - 14*h**5/5 - 13*h**4/3 - h - 101. Find l, given that u(l) = 0.
-13, -1, 0
Let o(i) be the third derivative of 0*i + 8/3*i**3 + 0 - 1/30*i**6 - 17*i**2 + 7/6*i**4 + 2/15*i**5. Factor o(h).
-4*(h - 4)*(h + 1)**2
Let q(j) = j**3 - j**2 + j + 3. Suppose -a = -4*a. Let l be q(a). Factor -i**l - 23*i**4 + i**5 + 24*i**4 - 4*i**2 + 3*i**2.
i**2*(i - 1)*(i + 1)**2
Suppose -6*n - 123 = 129. Let x = 59 + n. Factor 5*w**2 + 2*w - 6*w**2 - 17 + x.
-w*(w - 2)
Let m = -82 - -85. Determine a, given that -m*a**2 + 40*a - 40*a + 12 = 0.
-2, 2
Let p = -74/35 - -19/7. Let u(j) be the first derivative of -p*j - 6 + 21/25*j**5 - 6/5*j**3 - 3/10*j**4 + 3/2*j**2 - 3/10*j**6. Determine s so that u(s) = 0.
-1, 1/3, 1
Factor 4*s**3 + 1/2*s**4 + 3*s**2 - 7/2 - 4*s.
(s - 1)*(s + 1)**2*(s + 7)/2
Let l(t) be the second derivative of 98*t**6/75 + 119*t**5/25 + 373*t**4/60 + 17*t**3/5 + 9*t**2/10 + 6*t + 4. Determine y, given that l(y) = 0.
-1, -3/14
Let i be 17/6 + 2/3. Suppose 14 = 158*m - 151*m. Let -i*z**m + 2 + 6*z = 0. What is z?
-2/7, 2
Suppose -3*b + 2*q = -3, 5*b + 4*q = 6*b - 1. Let p(x) be the first derivative of -b + 1/9*x**3 + 0*x - 1/6*x**4 + 0*x**2. Factor p(y).
-y**2*(2*y - 1)/3
Let y = -673 - -675. Find h such that -1/3*h - 4/3*h**y + 5/3 = 0.
-5/4, 1
Let j(g) be the third derivative of g**9/5040 + g**8/2240 + 7*g**4/8 + 12*g**2. Let i(o) be the second derivative of j(o). Determine d so that i(d) = 0.
-1, 0
Let m be 5 - (1 + -5) - (-287)/(-35). Factor -6/5*c - m*c**3 + 0 - 14/5*c**2.
-2*c*(c + 3)*(2*c + 1)/5
Factor -139*j - 5*j**2 - 36125 - 329*j - 255*j - 127*j.
-5*(j + 85)**2
Let w(k) be the first derivative of k**6/40 + k**5/10 + k**4/8 - 47*k**2/2 + 33. Let q(s) be the second derivative of w(s). Suppose q(b) = 0. What is b?
-1, 0
Let p = 676 + -673. Let k(f) be the second derivative of -1/75*f**6 - 1/25*f**5 - 8*f + 1/105*f**7 + 0 + 0*f**4 + 0*f**p + 0*f**2. Find j, given that k(j) = 0.
-1, 0, 2
Let o(x) be the second derivative of -x**4/78 - x**3/39 + 6*x**2/13 + 128*x. Factor o(k).
-2*(k - 2)*(k + 3)/13
Let n(q) be the first derivative of -q**8/11760 - q**7/5880 + q**6/840 + q**5/168 + q**4/84 + 2*q**3 - 4. Let z(a) be the third derivative of n(a). Factor z(j).
-(j - 2)*(j + 1)**3/7
Let t = -76 - -46. Let j be (1/3)/((-2)/t). Find n such that -9*n**2 + j*n**2 - 5*n**2 - 4*n - 3*n**2 = 0.
-1/3, 0
Solve -60*n + 53*n**2 - 20*n**3 + 30 + 0*n - 11*n + n**4 + 7*n**3 = 0 for n.
1, 5, 6
Let i be 1189/319 - (-27)/99. Factor 0 - 4/9*p + 4/9*p**3 + 2/9*p**i - 2/9*p**2.
2*p*(p - 1)*(p + 1)*(p + 2)/9
Let p(q) be the third derivative of q**8/112 - 11*q**7/105 + q**6/3 + q**5/6 - 43*q**4/24 + 2*q**3 + 176*q**2. What is x in p(x) = 0?
-1, 1/3, 1, 3, 4
Suppose -2*j = -m + 10, 2*m + 0*j = 5*j + 25. Suppose p + p - 6 = m. Factor 12*d**4 - 18*d + 3*d**2 - 15*d**2 + 10*d + 4*d**5 + 4*d**p.
4*d*(d - 1)*(d + 1)**2*(d + 2)
Factor -116/11*t - 2/11*t**2 - 1682/11.
-2*(t + 29)**2/11
Let h = 26294/3 - 8764. Factor 4/3*x**2 + 2*x**3 + 0 + 0*x - h*x**5 + 0*x**4.
-2*x**2*(x - 2)*(x + 1)**2/3
Let g(q) be the first derivative of 0*q - 1/50*q**5 + 4*q**2 - 1/300*q**6 - 1/20*q**4 + 2 - 1/15*q**3. Let u(i) be the second derivative of g(i). Factor u(d).
-2*(d + 1)**3/5
Let w(y) be the second derivative of y**7/21 - y**6/15 - 6*y**5/5 - 2*y**4/3 + 16*y**3/3 - 103*y. Determine l so that w(l) = 0.
-2, 0, 1, 4
Let y(s) be the third derivative of -s**8/420 + s**7/210 + 5*s**3/6 + 23*s**2. Let p(d) be the first derivative of y(d). Find w, given that p(w) = 0.
0, 1
Suppose 2*i**2 + 20*i**4 + 22*i**2 - 7*i**2 - 5*i**5 - 7*i**2 - 40*i**2 - 5*i**3 = 0. What is i?
-1, 0, 2, 3
Let i(s) be the first derivative of 1/21*s**6 + 2/7*s**4 - 2/7*s**5 + 0*s**2 + 0*s + 9 + 0*s**3. Solve i(f) = 0.
0, 1, 4
Let p(n) = -22*n**2 + 3*n + 11. Let s(y) = -3*y**2 + 1. Let k(q) = -4*p(q) + 28*s(q). Factor k(v).
4*(v - 4)*(v + 1)
Let o(k) be the second derivative of -9/5*k**2 - 4*k - 1/2*k**3 + 1/20*k**4 + 2. Find y, given that o(y) = 0.
-1, 6
Let u(g) = g**3 + 7*g**3 - 13*g**3 + 6*g**3 - 1. Let v(x) = -40*x**3 - 8*x**2 + 20*x + 28. Let r(o) = -20*u(o) - v(o). Solve r(i) = 0.
-1, -2/5, 1
Let d be ((-39)/4 + 10)/1. Let i(f) be the first derivative of -9/4*f + d*f**3 - 9 - 3/4*f**2. Suppose i(b) = 0. Calculate b.
-1, 3
Let l(m) be the first derivative of m**6/450 + m**5/75 - 19*m**3/3 - 22. Let t(x) be the third derivative of l(x). Suppose t(r) = 0. Calculate r.
-2, 0
Let a be (-3 + 1 - (-25 + 24))*12/(-4). Determine q, given that -36/5*q**2 - 2 - 32/5*q - 2/5*q**4 - 16/5*q**a = 0.
-5, -1
Let m = -38 - -153/4. Let a(s) be the second derivative of -m*s**4 + 4*s - 1/2*s**3 + 0 - 11/10*s**6 + 27/20*s**5 + 2/7*s**7 + 0*s**2. Factor a(f).
3*f*(f - 1)**3*(4*f + 1)
Suppose -33*f - 318 - 177 = 0. Let q(x) = x**3 + 15*x**2 + 2*x + 32. Let y be q(f). Determine r, given that -1/2*r**3 + 0 - 1/4*r**4 + 1/2*r + 1/4*r**y = 0.
-2, -1, 0, 1
Let h(m) be the third derivative of -m**5/12 - 3*m**4/8 + 75*m**2. Factor h(s).
-s*(5*s + 9)
Suppose 2*i - 380 + 386 = 0. Let u be i - ((-16)/3 - -2). Solve -u*b**4 + 0 + 0*b**3 + 2/3*b + b**2 = 0.
-1, 0, 2
Let i = 41 + -37. Let v(z) = 3*z**3 - z**2 - z + 1. Let m be v(1). Factor -4*u**i + 2*u**5 + 2*u**m - 2*u**3 - 2*u**4 + 4*u**4.
2*u**2*(u - 1)**2*(u + 1)
Let o(a) be the first derivative of -5*a**6/6 + 2*a**5 + 5*a**4/3 - 3*a + 15. Let r(t) be the first derivative of o(t). Find l such that r(l) = 0.
-2/5, 0, 2
Let k(w) = -2*w**3 + w**2 - w + 3. Let r(v) = -v**4 - 23*v**3 + 46*v**2 + 118*v + 159. Let c(z) = 22*k(z) - 2*r(z). Determine t, given that c(t) = 0.
-3, -2, 7
Let c(a) be the third derivative of a**8/224 + 9*a**7/140 - 9*a**6/20 + a**5/10 + 3*a**4 - 199*a**2. Determine b so that c(b) = 0.
-12, -1, 0, 2
Let b(c) be the second derivative of c**6/280 - 3*c**4/56 - c**3/7 - 16*c**2 + 37*c. Let h(g) be the first derivative of b(g). Factor h(q).
3*(q - 2)*(q + 1)**2/7
Let k(d) be the first derivative of d**4/2 - 4*d**3 + 11*d**2 - 12*d + 168. Factor k(o).
2*(o - 3)*(o - 2)*(o - 1)
Suppose 5*s = -5, -p - s + 54 = 4*p. Find f, given that -11 + p + 2*f - 10*f**2 - 5*f**5 + 3*f + 10*f**4 = 0.
-1, 0, 1
Let m(l) be the second derivative of -35/2*l**4 - 6860*l**2 + 1/4*l**5 + 0 - 18*l + 490*l**3. What is u in m(u) = 0?
14
Let j be (-2 - -10) + (-3 - 9/18). Factor j*n - 1/4*n**2 - 81/4.
-(n - 9)**2/4
Let i(y) = -8*y**5 + 20*y**4 + 60*y**3 + 32*y**2 + 4*y. Let c(u) = 23*u**5 - 61*u**4 - 180*u**3 - 96*u**2 - 11*u. Let m(q) = 4*c(q) + 11*i(q). Factor m(b).
4*b**2*(b - 8)*(b + 1)**2
Let f(a) be the second derivative of -1/270*a**6 + 9*a + 1/30*a**5 + 0*a**2 + 4/27*a**3 + 0 - 1/9*a**4. Factor f(z).
-z*(z - 2)**3/9
Let r be -18*(4 + -1)/(-1). Suppose 4*u = -q - 1 + 23, 3*q + 4*u = 26. Factor 12*m - r*m**2 + 50*m**q + 7 - 15.
-4*(m - 2)*(m - 1)
Let o be (-1)/(-7) + 220/77. Let k(c) be the first derivative of 0*c**4 - 1/3*c**6 - 3 - 4/3*c**o + 4/5*c**5 + 0*c + c**2. Determine r so that k(r) = 0.
-1, 0, 1
Suppose 2/5*v**3 - 2/15*v**5 - 2/15*v**2 - 4/15*v + 2/15*v**4 + 0 = 0. What is v?
-1, 0, 1, 2
Let c(t) = -t**2 - 523*t + 17434. Let v(m) = -2*m**2 - 522*m + 17436. Let h(w) = -6*c(w) + 5*v(w). Factor h(i).
-4*(i - 66)**2
Suppose -5*f + 36 = -5*m - 