 0 + 5/2*t**4 = 0. What is t?
-2, 0
Suppose -68*o - 2/3*o**2 - 1734 = 0. What is o?
-51
Let z be (-130)/(-26) + -5*1. Let q be 2 + z*(-2)/(-4). Factor -3/8*l**q + 0 + 3/8*l.
-3*l*(l - 1)/8
Let j(k) be the first derivative of 5*k**2 + 19 - 5/3*k**3 - 5*k. Solve j(a) = 0.
1
Let d(m) be the second derivative of m**6/150 - m**4/30 - 47*m**2/2 - 35*m. Let u(f) be the first derivative of d(f). Factor u(a).
4*a*(a - 1)*(a + 1)/5
Let r = -411 - -14797/36. Let n(f) be the third derivative of 1/180*f**6 + 1/90*f**5 - 1/9*f**3 - r*f**4 + 0*f - f**2 + 0. Determine t so that n(t) = 0.
-1, 1
Let i(f) be the second derivative of f**4/12 - 17*f**3/6 - 30*f**2 + 2*f + 65. Factor i(r).
(r - 20)*(r + 3)
Let p = -127486/3 + 42497. Suppose -1/3*a**4 - a**3 + p*a**2 - 4/3 + a = 0. Calculate a.
-4, -1, 1
Let h(s) = 3*s**5 + 27*s**4 - 19*s**3 - 29*s**2 + 7. Let z(u) = u**5 + 13*u**4 - 9*u**3 - 15*u**2 + 3. Let c(p) = 6*h(p) - 14*z(p). Factor c(b).
4*b**2*(b - 3)**2*(b + 1)
Let h(f) be the second derivative of -f**5/120 + f**4/12 - 6*f**2 + 3*f. Let n(r) be the first derivative of h(r). Factor n(x).
-x*(x - 4)/2
Factor -1032*z - 2293*z - 4*z**3 - 228*z**2 + 3364 + 193*z.
-4*(z - 1)*(z + 29)**2
Let x(s) = -11*s**3 + 91*s**2 - 479*s + 715. Let t(q) = 27*q**3 - 228*q**2 + 1197*q - 1788. Let u(w) = 5*t(w) + 12*x(w). Factor u(y).
3*(y - 8)*(y - 5)*(y - 3)
Let p(f) be the third derivative of f**5/15 + 5*f**4/3 + 8*f**3/3 - 14*f**2. Let b(x) = -3*x**2 - 41*x - 16. Let z(h) = -4*b(h) - 5*p(h). Solve z(i) = 0 for i.
-4, -1/2
Factor 8926*y**4 - 9018*y**4 + 4*y**5 + 260*y**3 + 576*y**2 + 220*y**3.
4*y**2*(y - 12)**2*(y + 1)
Let f(r) be the second derivative of -r**7/105 + r**6/25 + r**5/50 - 11*r**4/30 + 4*r**3/5 - 4*r**2/5 - 17*r. What is i in f(i) = 0?
-2, 1, 2
Let f(v) = 27*v**2 + 58*v + 28. Let k(b) = -216*b**2 - 462*b - 225. Let p(d) = 33*f(d) + 4*k(d). Suppose p(x) = 0. Calculate x.
-2, -4/9
Factor 51/2*r + 141*r**2 + 285*r**3 + 3/2 + 147/2*r**5 + 483/2*r**4.
3*(r + 1)**3*(7*r + 1)**2/2
Let m(q) be the second derivative of -1/5*q**5 + 1/6*q**4 + 0*q**3 - 8*q + 0*q**2 + 0 + 1/15*q**6. Factor m(n).
2*n**2*(n - 1)**2
Let x(z) be the second derivative of -z**6/60 - z**5/45 + z**4/12 + 2*z**3/9 - 7*z**2 + 23*z. Let c(r) be the first derivative of x(r). Factor c(w).
-2*(w - 1)*(w + 1)*(3*w + 2)/3
Let k(l) = -9*l + 74. Let n be k(8). Factor -1 + 4*s + s**3 - s**3 + s**n - s**3 - 3*s.
-(s - 1)**2*(s + 1)
Let u(c) be the second derivative of c**6/72 - 8*c**3/3 - 5*c. Let o(y) be the second derivative of u(y). Factor o(z).
5*z**2
Suppose 37 = 10*o + 7. Suppose -o*v - 5*m + 17 = 0, 0 = 5*v - 5*m - 14 - 1. Factor 2/5*b**v + 0 + 2/5*b**3 + 0*b**2 + 0*b.
2*b**3*(b + 1)/5
Factor 3*h**3 - 2 + 12*h - 8*h**2 - 2*h - 2*h - h.
(h - 1)**2*(3*h - 2)
Suppose 5*q + 2*r = -3, -q + 0*q = 2*r - 1. Let j(t) = 2*t**3 - 10*t + 8. Let i(u) = -u**2 + u. Let h(l) = q*j(l) - 2*i(l). Factor h(a).
-2*(a - 2)*(a - 1)*(a + 2)
Let x(z) = -z**3 + 7*z**2 + 23*z - 27. Let d be x(9). Solve d*a + 33/2*a**2 + 6 + 9/2*a**3 = 0.
-2, -1, -2/3
Let g(f) = 3*f - 1. Let m be g(1). Suppose 5*d - 17 = -m. Factor -6*j - 4*j**2 + 8*j**2 + 5*j**3 - 3*j**d.
2*j*(j - 1)*(j + 3)
Let z(k) be the second derivative of -k**5/60 + 5*k**4/12 + 8*k**3/9 + 7*k + 25. Determine p so that z(p) = 0.
-1, 0, 16
Let b(m) be the third derivative of 11*m**7/840 + 47*m**6/480 + 5*m**5/16 + 53*m**4/96 + 7*m**3/12 - 620*m**2. Suppose b(t) = 0. Calculate t.
-14/11, -1
Let h = -47/4 - -12. Let i be ((-2)/6)/((-8)/6). Factor h*n**2 + 1/2*n + i.
(n + 1)**2/4
What is u in 2/11*u**3 - 32/11*u + 40/11 + 2/11*u**2 = 0?
-5, 2
Let y(l) be the third derivative of -2*l**7/105 + l**6/30 + l**5/15 - l**4/6 - 136*l**2. Solve y(o) = 0.
-1, 0, 1
Let n = -134/105 + 4052/1365. Solve -4/13*a - n*a**2 + 0 - 38/13*a**3 - 2*a**4 - 6/13*a**5 = 0 for a.
-2, -1, -1/3, 0
Let s(m) be the third derivative of m**10/60480 - m**8/13440 + m**4/3 + 4*m**2. Let g(b) be the second derivative of s(b). Find p, given that g(p) = 0.
-1, 0, 1
Let v be ((-252)/(-700))/((-24)/(-80)). Factor 0 - v*x + 3/5*x**2.
3*x*(x - 2)/5
Let d(p) be the first derivative of -p**5/5 - 3*p**4/7 + 53*p**3/21 - 3*p**2 + 8*p/7 + 110. Determine z, given that d(z) = 0.
-4, 2/7, 1
Let q(n) be the second derivative of n**4/72 + 25*n**3/36 + 25*n**2/3 + 8*n - 15. Let q(z) = 0. Calculate z.
-20, -5
Let y(d) be the first derivative of -4*d**2 - 4*d - 7 - 4/3*d**3. Factor y(q).
-4*(q + 1)**2
Let p(c) be the third derivative of 10/3*c**3 + 1/300*c**5 + 31*c**2 + 0*c + 1/6*c**4 + 0. Solve p(g) = 0.
-10
Let b(t) = -3*t**2 + 19*t - 16. Let g(r) = -r. Let s(k) = -k**2 - k - 4. Let z(w) = 6*g(w) - s(w). Let p(c) = 6*b(c) + 22*z(c). Determine v so that p(v) = 0.
-2, 1
Let b(f) be the third derivative of 40*f**5/33 - 10*f**4/3 + 11*f**3/3 + 145*f**2. Factor b(r).
2*(20*r - 11)**2/11
Suppose d = 0, 0 = z + 9*d - 13*d. Suppose 0 = -g + 5, g + 0*g + 5 = 5*n. Factor -1/4*l + z + 1/4*l**n.
l*(l - 1)/4
Let w(g) be the third derivative of -g**8/1344 - 5*g**7/84 - 673*g**6/480 - 5*g**5 - 6*g**4 + 13*g**2 - 12*g. Suppose w(c) = 0. Calculate c.
-24, -1, 0
Let j be 3*2/27 + (-2185)/(-9). Let s = j + -971/4. Suppose -s*t**2 + 0 - 1/4*t**3 + 0*t = 0. Calculate t.
-1, 0
Factor 8*a**2 - 72 + 45*a - 82 - 4*a**2 + a**2 + 44.
5*(a - 2)*(a + 11)
Let g = -28 + 32. Suppose -2*u**3 - 46*u**2 - 16*u + g*u - 145*u**3 + 130*u**2 = 0. What is u?
0, 2/7
Suppose 1 = -5*q + 3*h, -2*h - 24 = -4*q - 22. Factor -q - 2*j - 1/4*j**2.
-(j + 4)**2/4
Let c(p) be the third derivative of 1/12*p**5 + 0*p + 11*p**2 + 1/8*p**6 + 1/42*p**7 - 5/8*p**4 - 5/3*p**3 + 0. What is h in c(h) = 0?
-2, -1, 1
Suppose 0 = 10*w - 10 - 10. Suppose -55*m**3 + 7*m**w - 4*m + 17*m**3 + 21*m**2 + 14*m**3 = 0. What is m?
0, 1/6, 1
Factor 14/3*f - 2/3*f**2 - 4.
-2*(f - 6)*(f - 1)/3
Let y(s) be the first derivative of 1/120*s**6 + 1/6*s**3 + 10 - 2*s**2 - 1/24*s**4 + 0*s - 1/60*s**5. Let w(h) be the second derivative of y(h). Factor w(f).
(f - 1)**2*(f + 1)
Let y(w) = -2*w**2 + 34*w + 279. Let a be y(23). Suppose -5/6*l**a - 7/6*l + 1/3 + 1/6*l**4 + 3/2*l**2 = 0. Calculate l.
1, 2
Let d(u) be the second derivative of -u**6/30 + 31*u**5/20 - 55*u**4/2 + 650*u**3/3 - 500*u**2 + 26*u + 3. Find t such that d(t) = 0.
1, 10
Let i(c) be the first derivative of -c**3/9 - 7*c**2/6 - 10*c/3 - 43. Determine k so that i(k) = 0.
-5, -2
Suppose -2*u + 0*u = -10. Let v = 0 + u. Determine p, given that -8*p**4 + 5*p**2 - 4*p**v + 7*p**5 - 3*p + 2*p**4 + p**2 = 0.
-1, 0, 1
Let j(a) be the first derivative of a**3/15 - 133*a**2/5 + 17689*a/5 + 214. What is n in j(n) = 0?
133
Let i(y) be the third derivative of -1/7*y**3 - 1/21*y**4 + 0*y - 10*y**2 + 0 - 1/210*y**5. Find f such that i(f) = 0.
-3, -1
Let w be 11*(-4)/(-4) + 3. Let t = 17 - w. Factor t*h**2 + 4*h + 0*h**3 - 11*h**2 + 0*h + 4*h**3.
4*h*(h - 1)**2
Let v = -27 - -29. Factor 12 - 25 + 11 + v*l**2.
2*(l - 1)*(l + 1)
Let r(m) = -11*m**2 + 155*m - 6. Let a(f) = -100*f**2 + 1395*f - 55. Let o(w) = -6*a(w) + 55*r(w). Factor o(d).
-5*d*(d - 31)
Let w(r) be the third derivative of -r**8/20160 - r**7/1260 + r**6/144 + 13*r**5/30 - 6*r**2. Let l(j) be the third derivative of w(j). Let l(t) = 0. What is t?
-5, 1
Let t = 369/178 + 38/89. Factor -5/6*k**2 + 0 + t*k.
-5*k*(k - 3)/6
Let b(n) be the first derivative of n**3 - 9*n**2/2 - 120*n - 96. Suppose b(d) = 0. What is d?
-5, 8
Let t(g) be the second derivative of g**6/6 - 21*g**5/2 + 245*g**4 - 6860*g**3/3 - 13*g. Factor t(z).
5*z*(z - 14)**3
Suppose -2*z**3 - 204*z**2 - 3*z**3 - 20 + 219*z**2 = 0. What is z?
-1, 2
Let x(p) be the second derivative of 10*p + 0 + 1/60*p**4 - 1/210*p**7 + 0*p**2 + 0*p**3 - 3/100*p**5 + 1/50*p**6. Suppose x(c) = 0. What is c?
0, 1
Let a(z) be the first derivative of -z**5/40 - z**4/8 - z**3/4 - z**2/4 - 15*z - 13. Let i(g) be the first derivative of a(g). Suppose i(x) = 0. Calculate x.
-1
Let q = -27065 - -27065. Determine p, given that 4/7 + q*p - 4/7*p**2 = 0.
-1, 1
Let z be (2/15)/(165/(-572)). Let b = -6/25 - z. What is c in 2/3 + b*c**2 - 8/9*c = 0?
1, 3
Let l(b) be the first derivative of -20*b**2 + 5/2*b**4 - b**5 + 20*b - 10 + 5*b**3. Factor l(h).
-5*(h - 2)*(h - 1)**2*(h + 2)
Let t be 3/(-9)*36/(-10). Suppose -7*x - 32*x = 0. Find v, given that -2/5*v**3 + x - t*v