**2*(y + 1)
Let g be -1 + 3 + (127/(-38) - -3). Let r = -3/19 + g. Find s, given that -r*s**2 + 9/2*s + 0 = 0.
0, 3
Let r(g) = -12*g**3 - 78*g**2 - 183*g + 63. Let c(i) = i**2 - i + 1. Let m be 1 - 0/1 - 0. Let v(q) = m*r(q) - 15*c(q). Factor v(k).
-3*(k + 4)**2*(4*k - 1)
Suppose 4*c - 16 = -5*k, 2*k = -0*k. Suppose 3*w - 2*w - 15 = c*l, 12 = w - 3*l. Solve 4*i - 6*i**w + 0 - 6 + 3 + 3*i**4 + 2*i = 0.
-1, 1
Let n(h) be the second derivative of h**5/60 + h**4/18 - h**3/6 - h + 4. Let n(x) = 0. What is x?
-3, 0, 1
Let l = 33 - 21. Determine q, given that -l*q + 57 + 2*q**2 + 32*q - 7 = 0.
-5
Let a = -1612 + 1614. Suppose -1/4*m**a - 2*m - 4 = 0. Calculate m.
-4
Let q(s) be the third derivative of -s**6/40 + 99*s**5/20 + 25*s**4/2 - 23*s**2 - 1. Factor q(w).
-3*w*(w - 100)*(w + 1)
Let x = 29 + -27. Factor 0*u - u**x - u + 6*u**3 + 5*u - 9*u**2.
2*u*(u - 1)*(3*u - 2)
Suppose 2*x = -4*f + 122, -4*x + 26 = f - 22. Suppose 224 + f = 9*b. Factor -b*n + 4/3 + 147*n**2.
(21*n - 2)**2/3
Let y(r) be the third derivative of -8*r**2 - 1/20*r**5 + 0*r + 1/2*r**3 + 0 + 0*r**4. Solve y(o) = 0 for o.
-1, 1
Let w(i) be the first derivative of i**7/2520 - i**6/360 + i**4/18 + 5*i**3 + 14. Let f(k) be the third derivative of w(k). Find z, given that f(z) = 0.
-1, 2
Let b = -4/83 - -179/1992. Let l(c) be the second derivative of 0*c**5 + 4*c + b*c**4 + 0*c**3 - 1/60*c**6 + 0*c**2 + 0. Factor l(z).
-z**2*(z - 1)*(z + 1)/2
Let q = -8 - -25. Suppose -13 = 2*x - q. Factor -1/4 - 1/4*d**3 + 1/4*d + 1/4*d**x.
-(d - 1)**2*(d + 1)/4
Let p(y) be the first derivative of y**3/5 + 36*y**2/5 + 356. Factor p(o).
3*o*(o + 24)/5
Factor -8 + t + 6 + 2*t**2 - 4 + 0*t + 4 - t**3.
-(t - 2)*(t - 1)*(t + 1)
Solve -3*t**4 + 0*t**2 + 5*t**3 + 3 + 1/2*t**5 - 11/2*t = 0.
-1, 1, 2, 3
Let s(v) be the first derivative of v**5/110 - v**4/66 - 13*v - 22. Let w(j) be the first derivative of s(j). Suppose w(x) = 0. What is x?
0, 1
Let x be (-7)/((-98)/(-35)) - -3. Let t(g) be the second derivative of 1/12*g**4 + 0 + g**2 + x*g**3 + 5*g. Factor t(u).
(u + 1)*(u + 2)
Let g = -15789 + 15793. Let 5/3*f**2 - 2/3*f - 4/3*f**3 + 0 + 1/3*f**g = 0. What is f?
0, 1, 2
Let z(w) be the first derivative of -2*w**3/3 - 3*w**2 + 8*w - 231. Suppose z(u) = 0. What is u?
-4, 1
Let m = 413/12 + -107/3. Let w = 47/12 + m. Factor -11/6*y - 7/6*y**3 - w*y**2 - 1/3.
-(y + 1)**2*(7*y + 2)/6
Factor 8 + 54*v + 10*v**3 - 1427*v**2 - 1327*v**2 + 6 + 2676*v**2.
2*(v - 7)*(v - 1)*(5*v + 1)
Factor 36*c**2 + 12 + 158/3*c - 14/3*c**3.
-2*(c - 9)*(c + 1)*(7*c + 2)/3
Let y = -979 + 4919/5. Factor 48/5 + y*p + 3/5*p**2.
3*(p + 4)**2/5
Let f(b) = b**3 - b**2 + b. Let c(j) = 4*j - 4*j**3 - 5*j**4 + 9*j**4 - 8*j. Let v(x) = -c(x) - 4*f(x). Solve v(p) = 0 for p.
-1, 0, 1
Let g(t) be the second derivative of t**6/165 - t**5/11 + 2*t**4/11 + 24*t**3/11 + 271*t + 2. Factor g(w).
2*w*(w - 6)**2*(w + 2)/11
Let t(f) be the first derivative of -f**5/5 + f**4/2 + 19*f**3/3 - 10*f**2 - 181. Factor t(z).
-z*(z - 5)*(z - 1)*(z + 4)
What is u in 31/3*u**3 - 1/3*u**4 - 31/3*u - 32/3 + 11*u**2 = 0?
-1, 1, 32
Let t(n) = 11*n**2 + 121*n - 130. Let a(h) = -190*h**2 - 2055*h + 2210. Let p(z) = 2*a(z) + 35*t(z). Find f, given that p(f) = 0.
-26, 1
Let c(k) be the first derivative of k**8/6720 + k**7/1120 + k**6/1440 - k**5/160 - k**4/48 + 2*k**3 + 3. Let j(f) be the third derivative of c(f). Factor j(w).
(w - 1)*(w + 1)**2*(w + 2)/4
Let c(s) = -s**3 + 30*s + 25. Let w be c(-5). Let r(i) be the third derivative of 8*i**2 - 5/24*i**4 - 1/120*i**6 - 1/3*i**3 - 1/15*i**5 + 0 + w*i. Factor r(f).
-(f + 1)**2*(f + 2)
Let x(s) be the second derivative of -37/48*s**4 - 3/2*s**3 + 99/40*s**5 - 16*s + 0 - 121/120*s**6 - 1/2*s**2. Factor x(n).
-(n - 1)**2*(11*n + 2)**2/4
Let y be (-18 + 36 - 18) + (-2)/(-8). Factor -1/2*l**2 - 1/4*l**3 + 0 - y*l.
-l*(l + 1)**2/4
Let c(v) be the first derivative of -v**6/21 + 2*v**5/35 + 5*v**4/14 - 10*v**3/21 - 4*v**2/7 + 8*v/7 + 193. Suppose c(l) = 0. Calculate l.
-2, -1, 1, 2
Let o(w) = 5*w + 118. Let x be o(-23). Let y(d) be the first derivative of -2/39*d**x - 3 + 0*d + 0*d**2 - 1/26*d**4. Factor y(k).
-2*k**2*(k + 1)/13
Let y(w) be the second derivative of -w**8/15120 + w**7/5670 - w**4/6 + 10*w. Let l(g) be the third derivative of y(g). Factor l(n).
-4*n**2*(n - 1)/9
Let s(y) be the third derivative of -17*y**2 - 1/35*y**5 - 1/420*y**6 + 0*y**3 + 0 + 0*y - 3/28*y**4. Factor s(m).
-2*m*(m + 3)**2/7
Solve 15*y**2 - 5*y**2 - 7*y**2 + 73*y + 95*y - 5*y**2 - 166 = 0.
1, 83
Let h = 238 - 238. Let z(y) be the second derivative of -1/6*y**4 + 0 - 5*y - 2/21*y**3 + h*y**2 - 1/14*y**5. Factor z(j).
-2*j*(j + 1)*(5*j + 2)/7
Let n = 38 + -113/3. Let g(f) = 5*f - 23. Let y be g(5). Factor n*u**y + 0*u + 0 + 1/3*u**3.
u**2*(u + 1)/3
Let o = -573 + 577. Let w(b) be the second derivative of 9*b + 5/36*b**o + 0*b**2 + 0 + 0*b**3 - 1/3*b**5. Determine q so that w(q) = 0.
0, 1/4
Let l be ((-403)/40)/(-1) + -10. Let w(k) be the second derivative of l*k**5 + 0*k**3 - 11*k + 1/20*k**6 + 0*k**2 + 0 - 1/4*k**4. Factor w(y).
3*y**2*(y - 1)*(y + 2)/2
Suppose -5*y = -4*y - 3. Factor -93*f**2 + 96*f**2 - 4*f + 2*f + f**y - 2*f**3.
-f*(f - 2)*(f - 1)
Let u be (-45)/2400*12/(-27). Let k(w) be the third derivative of 1/24*w**3 + u*w**5 + 1/32*w**4 + 0 + 0*w - 5*w**2. Factor k(s).
(s + 1)*(2*s + 1)/4
Let d(g) = -g**3 - g**2 + g - 2. Let u(a) = -2*a**3 + 4*a**2 + 4*a - 8. Let i(q) = -4*d(q) + u(q). Let i(b) = 0. Calculate b.
-4, 0
Let b(z) be the first derivative of -z**7/70 + z**6/10 + z**5/20 - z**4/2 - 19*z**2 - 4. Let c(j) be the second derivative of b(j). Factor c(t).
-3*t*(t - 4)*(t - 1)*(t + 1)
Let d(r) be the second derivative of r**7/21 + r**6/3 - 9*r**5/10 - 53*r**4/6 + 8*r**3/3 + 48*r**2 + 3*r + 2. Solve d(s) = 0 for s.
-4, -1, 1, 3
Let v(b) be the first derivative of 8/19*b**4 + 24 + 33/19*b**2 + 8/19*b + 48/19*b**3. Factor v(o).
2*(o + 4)*(4*o + 1)**2/19
Let j(m) be the third derivative of -m**5/180 - m**4/18 + 5*m**3/2 + 378*m**2. Factor j(o).
-(o - 5)*(o + 9)/3
Suppose 63*g + 3/2*g**2 + 0 = 0. What is g?
-42, 0
Suppose 0*q = -3*q + 36. Let f be (-2 - -3)/(2/q). Let 6*o**2 + 4 - f*o**2 + o**2 + 5 - 6*o = 0. Calculate o.
3
Find r, given that -590/13*r**2 - 50/13*r**3 - 88/13 - 448/13*r = 0.
-11, -2/5
Let y(g) be the first derivative of 2*g**3/45 - 124*g**2/15 + 7688*g/15 + 137. Factor y(d).
2*(d - 62)**2/15
Let u(o) = -o**2 - o. Let s(i) = -5*i**2 + 10*i - 20. Let l = 5 + -35. Let x(k) = l*u(k) + s(k). Determine y, given that x(y) = 0.
-2, 2/5
Let t(p) be the third derivative of -p**6/600 - 13*p**5/300 + 23*p**4/60 - 16*p**3/15 + 67*p**2. Factor t(q).
-(q - 2)*(q - 1)*(q + 16)/5
Let w(g) be the second derivative of 3*g**5/10 - g**4/12 - g**3 + g**2/2 + 1037*g. Factor w(u).
(u - 1)*(u + 1)*(6*u - 1)
Let c(p) be the second derivative of p**8/336 + p**7/84 - p**6/72 - p**5/12 + 4*p**3/3 - p. Let s(z) be the second derivative of c(z). Factor s(k).
5*k*(k - 1)*(k + 1)*(k + 2)
Let p = 372 - 372. Let g(z) be the second derivative of 1/4*z**4 + z**3 + 3/2*z**2 + z + p. Find d such that g(d) = 0.
-1
Let a(j) be the first derivative of 2*j**5/55 - 10*j**4/11 + 100*j**3/11 - 500*j**2/11 + 1250*j/11 + 562. Factor a(b).
2*(b - 5)**4/11
Let s(i) = -i**5 - i**3 + i**2 + i - 1. Let b(v) = 6*v**5 - 21*v**4 + 15*v**3 + 33*v**2 - 12*v - 12. Let n(x) = -b(x) - 9*s(x). What is u in n(u) = 0?
-7, -1, 1
Let l(f) be the second derivative of 0 + 1/100*f**5 - 6*f + 0*f**3 + 0*f**2 + 1/60*f**4. Determine b, given that l(b) = 0.
-1, 0
Let l(r) be the first derivative of -1/5*r**5 - 40 + 1/3*r**3 - 2*r**2 + 2/3*r**4 - 4/3*r. Determine k, given that l(k) = 0.
-1, -1/3, 2
Let u = 4 - 2. Let h be (((-20)/(-15))/4)/(1/6). Find y such that 3 + 2*y**u - 2 + h*y - 1 = 0.
-1, 0
Suppose 4 = -4*l, 3*n = 3*l - 59 + 14. Let r = n - -33/2. Factor r*m - 1/2*m**4 + 1/2*m**5 - m**3 + m**2 - 1/2.
(m - 1)**3*(m + 1)**2/2
Let y(r) be the first derivative of 7 - r - 1/2*r**2. Let i(k) = -k**4 + k**3 + 3*k**2 - 4*k + 3. Let t(v) = -3*i(v) - 3*y(v). Determine g so that t(g) = 0.
-2, 1
Suppose m = z - 0 + 4, 4*m + 2 = -5*z. Factor -8*o + 3 - 6*o**2 + m + 3.
-2*(o + 2)*(3*o - 2)
Let m(f) = -4*f**5 - 2*f**4 + 8*f**3 + 4*f**2 - 6*f. Let z(h) = -h**5 + h**3 + h**2 - h. Let b(x) = -m(x) + 2*z(x). W