r**6/255 + 7*r**5/85 - 25*r**4/102 + 4*r**3/17 + 569*r. Let w(z) = 0. What is z?
0, 1, 12
Let n = 9/49 + -598/2989. Let h = n + 66/305. Find l, given that 0 - h*l**2 - 2/5*l = 0.
-2, 0
Find c, given that 26/7*c**2 + 2/7*c**4 - 24/7*c - 12/7*c**3 + 8/7 = 0.
1, 2
Factor -7 - 51 + 31*y + 60*y**2 + 13*y**2 - 74*y**2.
-(y - 29)*(y - 2)
Let z(r) be the second derivative of r**4/72 - 19*r**3/9 + 361*r**2/3 + 39*r. Factor z(m).
(m - 38)**2/6
Suppose -4*m - m + 35 = 0. Let q = m + -5. Solve -2*c**3 - c**2 - 2*c - c**q + 0*c - 2*c**2 = 0 for c.
-1, 0
Let f(p) be the third derivative of -p**8/2016 - p**7/105 + 13*p**6/720 + 275*p**2. Factor f(m).
-m**3*(m - 1)*(m + 13)/6
Let y = 127/21 + -6. Let b(l) be the first derivative of 0*l + 0*l**2 + 4/21*l**3 - 5/14*l**4 + 3 - y*l**6 + 8/35*l**5. Suppose b(g) = 0. Calculate g.
0, 1, 2
Let g(u) be the third derivative of u**7/42 + u**6/24 - u**5/4 - 25*u**4/24 - 5*u**3/3 - 21*u**2. Factor g(m).
5*(m - 2)*(m + 1)**3
Let c(d) be the second derivative of -3*d**5/20 - 5*d**4/4 - 4*d**3 - 6*d**2 - 33*d. Factor c(i).
-3*(i + 1)*(i + 2)**2
Suppose 0*q + 18*q = 54. Let b(p) be the first derivative of -9*p + 5 + 15*p**2 - 25/3*p**q. Factor b(a).
-(5*a - 3)**2
Suppose 3*v = 3*o - 426, 0 = -5*v + 2*v + 9. Determine p so that -3*p**2 + o + 0*p**2 - 12*p - 154 + 0*p = 0.
-3, -1
Let q be 108/154 - 15/35. Let k = q - -2/33. Factor -k*r**4 + 0*r**3 + 2/3*r + 0 + r**2.
-r*(r - 2)*(r + 1)**2/3
Suppose -2*q = -5*n + 30, n = 100*q - 96*q + 6. Determine s so that -2/7*s**4 + q*s**2 - 1/7*s**3 + 0 - 1/7*s**5 + 0*s = 0.
-1, 0
Let m be 20*23/368 + (-1 - 0). Suppose k - 2*t = t + 17, 5*k - 2*t - 20 = 0. Factor 1/4*c**3 - 1/4*c**k + 0 + 1/4*c**4 - m*c.
c*(c - 1)*(c + 1)**2/4
Let o(q) be the second derivative of -5*q**6/11 - 31*q**5/11 + 107*q**4/22 - 8*q**3/11 - 20*q**2/11 - 169*q. Let o(t) = 0. What is t?
-5, -1/5, 2/5, 2/3
Let r(s) be the second derivative of 0 - 2*s**2 - 6*s + 0*s**4 + 2/15*s**6 - 4/3*s**3 + 2/5*s**5. Solve r(o) = 0.
-1, 1
Let x = 317 - 313. Let q(g) be the first derivative of -1/28*g**x + 0*g - 1/21*g**3 + 1/7*g**2 - 3. Find v, given that q(v) = 0.
-2, 0, 1
Let p be (-268)/159*210/(-385). Let l = -6/583 + p. Suppose 16/11*v**2 + 8/11*v - l*v**3 + 0 = 0. Calculate v.
-2/5, 0, 2
Let i(o) be the second derivative of -o**7/780 + 4*o**6/585 - o**5/195 + 17*o**3/3 - 42*o. Let p(k) be the second derivative of i(k). Let p(y) = 0. What is y?
0, 2/7, 2
Factor -14*v**2 - 4*v**3 - 512 + 209*v - 14424*v**4 + 14425*v**4 - 34*v**2 + 111*v.
(v - 4)**3*(v + 8)
Let l(y) be the third derivative of 1/1620*y**6 + 0*y - 2/3*y**3 + 1/36*y**4 + 0 - 5*y**2 - 1/135*y**5. Let h(b) be the first derivative of l(b). Factor h(f).
2*(f - 3)*(f - 1)/9
Let u be (-11)/(-2) + (25/10)/(-5). What is a in 5*a + 0 + 407*a**2 - 10 - u*a**3 - 392*a**2 - 5*a**4 = 0?
-2, -1, 1
Let f(v) be the first derivative of 8 + 2*v**2 + 0*v - 1/120*v**5 + 7/480*v**6 + 1/3*v**3 - 7/24*v**4. Let i(w) be the second derivative of f(w). Factor i(j).
(j - 2)*(j + 2)*(7*j - 2)/4
Let g(w) be the first derivative of -w**6/9 + 42*w**5/5 - 441*w**4/2 + 2058*w**3 + 20. Determine a, given that g(a) = 0.
0, 21
Solve 186/11 - 185/11*h - 1/11*h**2 = 0.
-186, 1
Suppose 0 = 2*v + 8 - 28. Let g be (28/70)/(2/v). Determine r so that r + 0*r - r**g + 0*r + 0*r = 0.
0, 1
Let t(d) be the first derivative of -9*d + 39/2*d**2 + 3*d**4 + 44 - 16*d**3. Suppose t(c) = 0. What is c?
1/2, 3
Let s(d) be the second derivative of d**6/270 - d**5/12 - d**4/108 + 5*d**3/18 - 121*d. Factor s(i).
i*(i - 15)*(i - 1)*(i + 1)/9
Let k = -6 - -6. Suppose -4*y + 5*y - 1 = k. Let s(p) = -p**4 + p - 1. Let d(c) = -6*c**4 - 2*c**3 + 8*c - 8. Let j(a) = y*d(a) - 8*s(a). Factor j(l).
2*l**3*(l - 1)
Let k(i) = -i**2 + 8*i - 5. Let n be k(7). What is t in -4*t**2 - 2*t**2 - 4*t**n + 6*t**2 + 32*t - 64 = 0?
4
Let n be (-1 - 3)/(-237*(-5)/15). Let g = n + 245/158. Suppose 0*b + 1/2*b**3 + 5/2*b**4 + 0 - 1/2*b**2 + g*b**5 = 0. What is b?
-1, 0, 1/3
Let f(b) be the third derivative of 0*b**3 + 0*b + 14*b**2 + 0*b**5 + 1/120*b**6 + 0*b**4 + 0. Let f(y) = 0. Calculate y.
0
Let f(t) be the second derivative of -9*t**7/1120 + t**6/240 + 9*t**5/160 - t**4/16 - 7*t**3/2 + 48*t. Let l(q) be the second derivative of f(q). Factor l(a).
-3*(a - 1)*(a + 1)*(9*a - 2)/4
Suppose n - 2 = -0*n. Suppose -1 = n*v - 5. Suppose 3*k**v + 3*k**2 - 5*k**2 = 0. What is k?
0
Let j(t) = 4*t**3 + t**2 + 4*t - 3. Let n(x) = -11*x**3 + 17 - 18*x - 6*x - 7*x**2 - 12*x**3. Let w(y) = 34*j(y) + 6*n(y). Factor w(d).
-2*d*(d + 2)**2
Let w(v) be the third derivative of v**5/30 - v**4/4 - 10*v**3/3 + 14*v**2. Find b such that w(b) = 0.
-2, 5
Let y(k) be the third derivative of -k**9/52920 - k**8/23520 + k**7/2205 + k**6/630 + k**4/6 - 5*k**2. Let l(o) be the second derivative of y(o). Factor l(r).
-2*r*(r - 2)*(r + 1)*(r + 2)/7
Let u = 25 + -25. Let c be u*(28/(-8) - -4). Solve c*s**2 - 3/2*s + 1 + 1/2*s**3 = 0 for s.
-2, 1
Let w = -420 - -420. Find p such that 4/7*p**5 + 0 + 0*p**2 + w*p + 2/7*p**4 - 6/7*p**3 = 0.
-3/2, 0, 1
Let z(f) = 9*f**4 + 3*f**2 - 12*f. Suppose 5*y - 3*q + 69 = -0*q, -4*q = -2*y - 36. Let d(g) = g**4 - g. Let h(v) = y*d(v) + z(v). Find s such that h(s) = 0.
-1, 0, 1
Let v(k) be the first derivative of 0*k**2 - 1/5*k**5 + 1/12*k**6 + 0*k + 1/3*k**3 - 1/8*k**4 - 2. Determine y so that v(y) = 0.
-1, 0, 1, 2
Let s(o) be the first derivative of 0*o - 1/90*o**5 - 3*o**2 + 1 - 2/9*o**3 - 1/12*o**4. Let u(f) be the second derivative of s(f). What is m in u(m) = 0?
-2, -1
Let v(a) be the first derivative of a**6/18 - a**5/5 - 7*a**4/12 + 5*a**3/3 + 3*a**2 - 281. Determine t so that v(t) = 0.
-2, -1, 0, 3
Let -1/3*b**2 - 1/3*b + 2/3 = 0. What is b?
-2, 1
Let o(q) = -4*q - q - 12 + 3*q. Let z be o(-9). Factor 5*n**2 - 3*n**3 - z*n**2 + 10*n**2 - 5 - 7.
-3*(n - 2)**2*(n + 1)
Suppose 1132 = 12*d + 1072. Let y(r) be the second derivative of -1/75*r**6 + 0*r**2 + 3/50*r**d + 0 - 1/10*r**4 + 1/15*r**3 - 12*r. Factor y(t).
-2*t*(t - 1)**3/5
Let t(j) = -2*j**2 - 570*j + 569. Let g(q) = 4*q**2 + 1138*q - 1137. Let x(f) = -3*g(f) - 5*t(f). What is r in x(r) = 0?
-283, 1
Let l = -13 + -1. Let o = 18 + l. Determine r, given that -2*r**2 + 8*r**3 + r**2 + 12*r - 6 - 17*r**2 + o = 0.
1/4, 1
Let c(t) be the third derivative of 0*t**3 - 20*t**2 - 1/315*t**7 - 1/36*t**4 + 1/180*t**6 + 1/90*t**5 + 0 + 0*t. Factor c(j).
-2*j*(j - 1)**2*(j + 1)/3
Let i(v) be the second derivative of -2*v**7/63 + 59*v**5/60 - 13*v**4/12 - 41*v**3/9 - 4*v**2 - 128*v - 1. Determine k so that i(k) = 0.
-4, -1/2, 2, 3
Let g be (8/5)/((-147)/2730). Let d = -596/21 - g. Factor -16/3 - d*z**2 - 16/3*z.
-4*(z + 2)**2/3
Let i(n) be the second derivative of 0 + 2*n**2 - 3*n - 1/240*n**5 + 1/96*n**4 + 1/12*n**3. Let j(l) be the first derivative of i(l). Factor j(p).
-(p - 2)*(p + 1)/4
Let q(l) be the third derivative of l**7/3780 + l**6/324 + l**5/180 - l**4/12 - l**3 - 11*l**2. Let n(k) be the first derivative of q(k). Factor n(m).
2*(m - 1)*(m + 3)**2/9
Let p(q) = -q**3 + 24*q**2 - q + 27. Let b be p(24). Factor 75 + 2*j + b*j**2 + 18*j + 16*j - 6*j.
3*(j + 5)**2
Let d(l) be the third derivative of -l**7/1260 - l**6/144 - l**5/60 + l**4/12 + 28*l**2. Let f(c) be the second derivative of d(c). Let f(p) = 0. Calculate p.
-2, -1/2
Suppose 2*s + 10 = -5*j, 5*j + 2 = 2*s + 4*j. Suppose -c + 10 - 8 = s. Find r such that -2/11*r - 4/11*r**c - 2/11*r**5 + 2/11 + 4/11*r**3 + 2/11*r**4 = 0.
-1, 1
Suppose 8*j + 83 - 209 = -55*j. Factor 0*f + 4/5*f**j + 0 + 2/5*f**3.
2*f**2*(f + 2)/5
Determine k so that -1/4*k**2 + 3/2 + 1/4*k = 0.
-2, 3
Let y = -6 + 8. Suppose -f - 3 = -a, a + 2 = -3*f + 13. Factor v**f - v + 2 - y.
v*(v - 1)
Suppose 4*d - 2*j = -d + 40, -2*j + 32 = 4*d. Let 16 + d*z + 18*z - 12*z**2 - 42*z = 0. What is z?
-2, 2/3
Let c(p) be the third derivative of 5*p**8/504 - 8*p**7/315 - 19*p**6/180 + 17*p**5/45 - p**4/9 - 8*p**3/9 + 46*p**2 - 1. Let c(v) = 0. What is v?
-2, -2/5, 1, 2
Let i = 190/7 - 9493/350. Let y(s) be the second derivative of i*s**5 - 1/30*s**4 + 0 + 0*s**2 + 5*s + 0*s**3. What is u in y(u) = 0?
0, 1
Let i be (-4)/(-1) + -2 + 20. Let f = i + -17. Suppose 3*s**3 - f + 8 - 3 = 0. What is s?
0
Let b(w) be the third derivative of -1/420*w**8 + 0*w + 0*w**4 + 0 - 17*w**2 + 0*w**