 Let z(c) = 10*c**2 - 2000*c + 98000. Let j(l) = -5*q(l) - 3*z(l). Find s such that j(s) = 0.
99
Let r be (1 - 2) + (-45)/(-25). Suppose w - 7 + 5 = 0. Find u such that -2/5*u**w + 0 + r*u = 0.
0, 2
Let p be (-6 - -2)*(2 - (-55)/(-20)). Let m(k) be the first derivative of 3/2*k + 1/6*k**p - 4 + k**2. Factor m(f).
(f + 1)*(f + 3)/2
Let y be (-17)/(-22)*(-64)/(-250). Let u = -2/125 + y. Factor -u*p**3 - 6/11*p**2 + 0*p + 8/11.
-2*(p - 1)*(p + 2)**2/11
Suppose 2/7*n**2 + 8/7 - 3/7*n**3 - 1/7*n**4 + 12/7*n = 0. Calculate n.
-2, -1, 2
Suppose -88/9*c**3 - 14/9*c**4 - 50/3*c**2 - 16/9 - 92/9*c = 0. Calculate c.
-4, -1, -2/7
Let d(a) be the second derivative of -a**4/2 - 21*a**3/4 - 15*a**2/4 - 15*a - 2. Factor d(c).
-3*(c + 5)*(4*c + 1)/2
Let h be ((1 + 2)/3)/((-6)/6). Let k be 1/h + 2 + 4 + -2. Factor -8/3*d**4 + 0*d**2 + 0 - d**5 - 2*d**k + 1/3*d.
-d*(d + 1)**3*(3*d - 1)/3
Let p be ((-12)/15)/((-8)/20). Determine n so that -4*n**2 + n**p + 2*n**2 + 40*n + 6*n**2 + 80 = 0.
-4
Let -140*i**3 + 3*i**2 + 3*i**2 - 8 - 98*i**4 + 1598*i - 1558*i = 0. Calculate i.
-1, 2/7
Let h = -32 + 34. Determine r so that 95*r**h - r + 17*r - 99*r**2 - 11 - 1 = 0.
1, 3
Let y(c) be the first derivative of c**6/24 - c**5/2 + 15*c**4/8 - 6*c**2 + 9. Let s(m) be the second derivative of y(m). Let s(o) = 0. Calculate o.
0, 3
Let w(b) = -11*b**4 + 7*b**3 - 2*b**2 - 4*b + 24. Let n(t) = 7*t**4 - 5*t**3 + 2*t**2 + 3*t - 16. Let q(r) = 8*n(r) + 5*w(r). Determine m so that q(m) = 0.
-1, 2
Let h(j) be the third derivative of j**6/6 - 2*j**5/15 - j**4/2 - 2*j**2 + 18. Solve h(c) = 0 for c.
-3/5, 0, 1
Let w(b) be the first derivative of 0*b - 3/4*b**6 - 28 + 21/4*b**4 - 3/10*b**5 + 2*b**3 - 6*b**2. Find h such that w(h) = 0.
-2, -1, 0, 2/3, 2
Let c(s) = s**3 - s**2 + s. Let b(i) be the third derivative of i**6/24 - i**5/12 + i**4/8 + i**3/6 - 9*i**2. Let k(h) = 3*b(h) - 12*c(h). Factor k(o).
3*(o - 1)**2*(o + 1)
Let z(i) = -i + 7*i**4 - 3 - 23*i**2 + 4*i + 0*i + 16. Let c(o) = 15*o**4 - 47*o**2 + 7*o + 25. Let f(n) = 3*c(n) - 7*z(n). Find g such that f(g) = 0.
-2, -1, 1, 2
Let h(z) = -z**3 - 2*z**2 + 3*z + 2. Let s(g) = g**3 - g**2 + 1. Let o = 49 - 48. Let x(w) = o*h(w) - 2*s(w). Factor x(k).
-3*k*(k - 1)*(k + 1)
Suppose 5*a = -807*z + 806*z - 23, 2*z - 9 = a. What is c in -1/5*c**5 - 7/5*c**z + 0 - c**4 - 2/5*c - 9/5*c**3 = 0?
-2, -1, 0
Factor -37*a**4 + 4 + 330*a**3 - 5445*a**2 + 71*a**4 - 39*a**4 - 4.
-5*a**2*(a - 33)**2
Determine c so that -6*c**4 - 38/3*c**3 + 40/3*c - 2*c**2 - 2/3*c**5 + 8 = 0.
-6, -2, -1, 1
Factor -2*i**2 - 36 + 24*i - i**2 - 4*i**2 + 3*i**2.
-4*(i - 3)**2
Let o(b) = 7*b**2 - 26*b + 13. Let g(x) = -34*x**2 + 128*x - 66. Let i(p) = -3*g(p) - 14*o(p). Solve i(n) = 0 for n.
1, 4
What is d in 3*d**2 + 90 + d**2 - 80*d + 388 - 78 = 0?
10
Find r such that -3*r**3 - 2/3*r + 0 + 11/3*r**2 = 0.
0, 2/9, 1
Suppose 5*t = -309 + 334. Suppose t*w + 4*s = 30, 3*s - 21 = 5*w - 8*w. Factor w + 4/3*x - 2/3*x**2.
-2*(x - 3)*(x + 1)/3
Let i(t) be the first derivative of 1/6*t**6 + 0*t - 1/2*t**4 + 1/5*t**5 + 0*t**3 + 6 + 0*t**2. Factor i(u).
u**3*(u - 1)*(u + 2)
Let u be 56*1/((-4)/6). Let o be (u/945)/((-2)/5). Factor -8/9*y**3 - o*y**4 - 2/9 - 4/3*y**2 - 8/9*y.
-2*(y + 1)**4/9
Let c(f) be the first derivative of -f**3/9 + 4*f**2/3 - 7*f/3 - 60. Find u, given that c(u) = 0.
1, 7
Let k(b) be the first derivative of 2*b**3/3 + 54*b**2 + 225. Determine u, given that k(u) = 0.
-54, 0
Factor -22/5 - 18/5*t**2 + 42/5*t - 2/5*t**3.
-2*(t - 1)**2*(t + 11)/5
Let b be (5590/(-1330))/(-13) + (-26)/(-247). Determine a so that 0 - 6/7*a**2 + 0*a - b*a**3 = 0.
-2, 0
Suppose -2*r - 195 + 19 = -4*x, -2*x = -5*r - 456. Let j be r/(-230) - (-18)/5. Determine y, given that 1/4 - 1/2*y**3 + 1/2*y + 0*y**2 - 1/4*y**j = 0.
-1, 1
Let b be (-5 - -1)*(-6 + -1 + 5). Let b*p - 8 - 4*p**3 - 8*p**4 - 3*p**3 - 26*p + 52*p**2 - 11*p**3 = 0. What is p?
-4, -1/4, 1
Let c(l) = -l**2 + 8*l + 12. Let y be c(9). Suppose 5*q**4 - q**3 + 2*q**3 + 0*q**4 - q**5 - 2*q**2 - y*q**4 = 0. What is q?
-1, 0, 1, 2
Let n(l) be the third derivative of 0*l**3 + 1/70*l**7 + 0*l - 1/20*l**5 + 0 + 1/12*l**4 + 5*l**2 - 1/60*l**6. Factor n(y).
y*(y - 1)*(y + 1)*(3*y - 2)
Suppose 21 + 213 = 42*q + 36*q. Find r, given that 20*r - 15/4*r**5 - 35/4*r**4 + 30*r**q - 60 + 90*r**2 = 0.
-2, 2/3, 3
Let m(r) be the first derivative of -14 + 2/3*r**2 + 13/12*r**4 + 2/5*r**5 + 4/3*r**3 + 1/18*r**6 + 0*r. Suppose m(u) = 0. Calculate u.
-2, -1, 0
Let f(j) be the third derivative of j**5/15 - 32*j**3/3 + 85*j**2. Find r, given that f(r) = 0.
-4, 4
Let w(j) = -2*j**3 - j - 1. Let x(l) be the first derivative of 33*l**4/4 - l**3 + 15*l**2/2 + 15*l - 11. Let c(n) = -15*w(n) - x(n). Find d such that c(d) = 0.
0, 1
Find h, given that 4/3 + 4*h - 5*h**2 + 4/3*h**3 = 0.
-1/4, 2
Let c(k) be the second derivative of 19/120*k**5 + 1/84*k**7 + 0*k**2 - 12*k - 11/72*k**4 + 1/18*k**3 - 13/180*k**6 + 0. Solve c(m) = 0.
0, 1/3, 1, 2
Let a(p) be the second derivative of p**6/60 + p**5/10 - 5*p**4/24 + 6*p - 16. Factor a(m).
m**2*(m - 1)*(m + 5)/2
What is l in 189/4*l**3 - 243/2*l**2 - 6*l**4 + 1/4*l**5 + 0 + 0*l = 0?
0, 6, 9
Let c(t) be the third derivative of 0*t + 0 - 5*t**2 - 1/6*t**5 - 1/24*t**6 + 0*t**3 - 5/24*t**4. Factor c(a).
-5*a*(a + 1)**2
Let w(o) be the first derivative of o**4/60 - 2*o**3/15 + 3*o**2/10 - 35*o - 43. Let s(i) be the first derivative of w(i). Suppose s(g) = 0. What is g?
1, 3
Factor 6/11*u**3 - 24/11*u + 24/11*u**2 - 96/11.
6*(u - 2)*(u + 2)*(u + 4)/11
Let q(g) = g**3 + 19*g**2 - 14*g + 7. Let y(k) = 6*k**2 - 4*k + 2. Let u(j) = -4*q(j) + 14*y(j). Factor u(h).
-4*h**2*(h - 2)
Let m(x) be the third derivative of 1/60*x**6 + 1/24*x**4 - 1/12*x**5 - 9*x**2 + 1/3*x**3 + 0 + 0*x. Find w such that m(w) = 0.
-1/2, 1, 2
Let n(d) be the second derivative of -d**4/66 + 40*d**3/33 + 41*d**2/11 - 27*d. Factor n(p).
-2*(p - 41)*(p + 1)/11
Let a(s) be the third derivative of s**8/336 - s**7/168 - s**6/72 + s**5/24 - s**3/2 + s**2. Let t(l) be the first derivative of a(l). Factor t(o).
5*o*(o - 1)**2*(o + 1)
Let w(g) be the first derivative of 18*g**5/17 - 69*g**4/17 + 226*g**3/51 - 36*g**2/17 + 8*g/17 + 39. Solve w(s) = 0.
1/3, 2/5, 2
Suppose 2/7*g**2 - 2*g + 12/7 = 0. Calculate g.
1, 6
Find w, given that 5*w**4 - 1553*w**3 + 30*w - 4*w**2 + 9*w**2 + 1533*w**3 = 0.
-1, 0, 2, 3
Let c(b) be the second derivative of -11/96*b**4 + 0 - 1/12*b**3 - b + 5/2*b**2 + 13/240*b**5. Let q(i) be the first derivative of c(i). Factor q(l).
(l - 1)*(13*l + 2)/4
Let v(q) be the first derivative of -q**5/55 - 5*q**4/11 - 142*q**3/33 - 210*q**2/11 - 441*q/11 + 236. Factor v(i).
-(i + 3)**2*(i + 7)**2/11
Let i(f) = 17*f**2 - 200*f - 82. Let d(o) = -2*o**2 - 3*o - 1. Let m(s) = -6*d(s) - i(s). Suppose m(v) = 0. Calculate v.
-2/5, 44
Suppose 0 = 2*l - 188 + 180. Let u(x) be the third derivative of -4*x**2 + 0 - 1/6*x**l - 1/210*x**7 - 1/30*x**6 + 0*x - 1/6*x**3 - 1/10*x**5. Factor u(v).
-(v + 1)**4
Factor 2/3*f**2 + 6*f - 20/3.
2*(f - 1)*(f + 10)/3
Let x(v) be the first derivative of 0*v**3 + 26 - 1/12*v**4 + 1/6*v**2 + 0*v. Factor x(o).
-o*(o - 1)*(o + 1)/3
Let q(w) be the third derivative of -8/735*w**7 + 0*w - 15*w**2 + 0*w**5 + 0*w**3 + 0*w**4 + 1/105*w**6 - 5/1176*w**8 + 0. Let q(v) = 0. Calculate v.
-2, 0, 2/5
Suppose -3*n + 58 = -n. Let l = n + -20. Factor -2*t**2 + l*t**2 - t**3 - 4 - 4*t**2.
-(t - 2)**2*(t + 1)
Let x(k) be the third derivative of k**10/680400 + k**9/136080 - 7*k**5/30 + 21*k**2. Let i(p) be the third derivative of x(p). Determine r so that i(r) = 0.
-2, 0
Let a(f) be the first derivative of f**6/720 - f**5/80 + f**4/24 - 5*f**3/3 + 5. Let t(h) be the third derivative of a(h). Determine p, given that t(p) = 0.
1, 2
Let j(y) = -43*y + 6194. Let u be j(144). Factor -6/5 + 11/5*s + 1/5*s**3 - 6/5*s**u.
(s - 3)*(s - 2)*(s - 1)/5
Let l(t) = -14*t**2 - 5*t + 14. Let d(i) = 3*i**2 - i - 1. Let h(w) = -5*d(w) - l(w). Let h(y) = 0. Calculate y.
1, 9
Let t = 349 + -344. Let o(z) be the second derivative of -3*z + 0 + 0*z**3 - 1/20*z**t - 1/6*z**4 + 0*z**2 + 1/30*z**6. Let o(a) = 0. Calculate a.
-1, 0, 2
Suppose 21*s + 9 - 4*s**2 + 11 + 19*s - 24*s = 0. Calculate s.
-1, 5
Let x(n) be the first derivative of -n**6/33 + 6*n**5/55 + 5*n**4/11 + 4*n**3/33