/7*r**2 - 1/7*r**4 = 0. Calculate r.
-1, 0
Let f be ((-27)/(-15))/(33/220). Suppose 1 = 4*p + 3*m, f*p + 2*m = 7*p + 10. Solve -2*v**p + 48/5*v**2 + 16/5*v**3 - 64/5*v - 32/5 = 0.
-2, -2/5, 2
Let k be ((22737/220)/39 - (-2)/(-5)) + -1. Let i(u) be the second derivative of 2*u - k*u**2 - 5/8*u**3 + 1/16*u**5 + 0 + 0*u**4. Factor i(z).
5*(z - 2)*(z + 1)**2/4
Let a be 3/(24/(-112)*-7). Suppose a*h + 4*h = h. Solve 9/5*i**4 + h*i + 9/5*i**3 + 3/5*i**2 + 3/5*i**5 + 0 = 0 for i.
-1, 0
Solve 40 + 55*x**3 - 8*x**4 - 2*x**5 - 35*x**2 - x**5 + 35*x**4 - 50*x - 2*x**5 - 32*x**4 = 0 for x.
-4, -1, 1, 2
Suppose 0 = -151*k + 228*k. Let n(x) be the third derivative of 1/135*x**6 + k*x + 0 + 6*x**2 + 2/27*x**4 + 2/27*x**3 + 1/27*x**5. Factor n(g).
4*(g + 1)**2*(2*g + 1)/9
Let o(x) be the third derivative of x**6/8 + 5*x**5/12 - 35*x**4/6 + 1197*x**2. Factor o(r).
5*r*(r + 4)*(3*r - 7)
Suppose -p = 22*p - 69. Determine y so that y + y**p + 3*y - 6 - 27*y + 2*y**3 + 7*y**4 - 21*y**2 = 0.
-1, -3/7, 2
Let s(j) be the first derivative of j**4/4 + 17*j**3/12 + 5*j**2/2 + j - 1623. Let s(c) = 0. Calculate c.
-2, -1/4
Let w(s) be the second derivative of s**5/80 + 121*s**4/48 + 3599*s**3/24 - 3721*s**2/8 - 1230*s. Factor w(d).
(d - 1)*(d + 61)**2/4
Factor 2/9*o**2 - 242/9*o - 164/3.
2*(o - 123)*(o + 2)/9
Suppose 62 - 53 = k. Factor -49*d**2 - 181*d - k*d - 1241 + 217 - 258*d.
-(7*d + 32)**2
Let f(k) = 4*k**2 - 39*k + 40. Let i be f(1). Let p(j) be the first derivative of -1/6*j**4 + 0*j**2 + 0*j + 11 + 0*j**3 + 1/9*j**6 + 0*j**i. Factor p(w).
2*w**3*(w - 1)*(w + 1)/3
Let x(i) be the second derivative of i**6/600 - i**5/100 - i**4/120 + i**3/10 + 39*i**2 - 2*i - 6. Let k(l) be the first derivative of x(l). Solve k(v) = 0.
-1, 1, 3
Let p(b) be the third derivative of -b**8/336 - 12*b**7/35 - 271*b**6/120 + 6*b**5/5 + 34*b**4/3 - 8*b**2 - 107*b. Solve p(m) = 0 for m.
-68, -4, -1, 0, 1
Suppose 2*n + 11*u = 6*u, 0 = -3*n + 4*u + 23. Factor -11 - n*f**2 - 10815*f - 4 + 10795*f.
-5*(f + 1)*(f + 3)
Let d(f) be the third derivative of 0*f + 10/9*f**3 - 19/180*f**5 - 1/630*f**7 - 239*f**2 + 0 - 1/6*f**4 + 1/30*f**6. What is u in d(u) = 0?
-1, 1, 2, 10
Suppose -35 + 104 = 3*b. Find v such that 21*v**2 + 42*v**2 - b*v**2 + 50 + 4*v**3 + v**3 - 95*v = 0.
-10, 1
Let a(r) be the second derivative of r**4/3 - 22*r**3/3 + 60*r**2 + 2*r + 1795. Factor a(u).
4*(u - 6)*(u - 5)
Let c(z) be the first derivative of 0*z**2 + 15 + 1/5*z**4 + 1/3*z**3 + 0*z - 1/25*z**5. Solve c(s) = 0.
-1, 0, 5
Let v(p) be the second derivative of 0 - 5*p**2 + 8*p**3 + p + 4/5*p**5 + 1/5*p**6 - 5*p**4. Factor v(n).
2*(n - 1)**2*(n + 5)*(3*n - 1)
Suppose f = 5*j + 1, -12207 = -f - 12196. Factor 11/5*a**j + 0 + 18/5*a + 1/5*a**3.
a*(a + 2)*(a + 9)/5
Let u(c) be the first derivative of 5*c**6/51 + 122*c**5/85 - 29*c**4/17 - 148*c**3/51 + 53*c**2/17 + 26*c/17 - 451. Suppose u(y) = 0. What is y?
-13, -1, -1/5, 1
Let f(a) be the first derivative of -a**5/50 + 2*a**4/5 + 22*a - 10. Let t(r) be the first derivative of f(r). Find n such that t(n) = 0.
0, 12
Let l = -46785 + 46789. Factor -l - 7/2*g**2 - 9*g.
-(g + 2)*(7*g + 4)/2
Let k(b) be the first derivative of -5/6*b**6 - 75/2*b**4 + 166 + 0*b - 45/2*b**2 - 140/3*b**3 - 12*b**5. Factor k(y).
-5*y*(y + 1)**3*(y + 9)
Let l(o) = -1310*o**2 - 21*o + 20. Let c be l(1). Let j = c + 11801/9. Solve -j + 2/3*q**4 - 4/9*q**2 + 2/9*q**5 + 4/9*q**3 - 2/3*q = 0 for q.
-1, 1
Let n(z) = -2*z - 10. Let o(g) = -g - 1. Let f(w) = 2*n(w) - 2*o(w). Let b be f(-10). Factor 7*q - 5*q**2 + 15*q - b*q.
-5*q*(q - 4)
Let h(q) = q**2 + 7*q + 14. Let a be h(-5). Suppose a*j + 24 = 16*j. Solve 1 - j*b**2 + 8*b + b**4 + b**5 - 2*b**3 - 20*b + 13*b = 0.
-1, 1
Let x(d) be the first derivative of 0*d - 22/9*d**2 - 2/45*d**5 - 4/3*d**4 - 10/3*d**3 - 113. Factor x(o).
-2*o*(o + 1)**2*(o + 22)/9
Let z(i) be the second derivative of i**7/42 - 41*i**6/15 + 2617*i**5/20 - 3387*i**4 + 51336*i**3 - 457056*i**2 + 3740*i. Factor z(l).
(l - 23)**2*(l - 12)**3
Let q be (-3624)/(-48) + 9/6 + 0. Let g(s) = s**3 - 2*s**2 + 3*s + 2. Let y be g(3). Factor -26 + 165*l + 13 - q - 100*l**2 + y*l**3.
5*(l - 2)*(2*l - 3)**2
Let p(d) be the third derivative of -7/12*d**4 + 2*d + 12*d**2 - 8/3*d**3 + 0 + 1/30*d**5. Let p(y) = 0. What is y?
-1, 8
Let h(c) be the first derivative of -1/12*c**4 - 1/9*c**3 + 2/3*c**2 + 4/3*c + 15. Solve h(d) = 0 for d.
-2, -1, 2
Suppose -5*y + 15 = -2*b, b - 12 = -3*y - y. Suppose -181 + 191 = 5*z. What is m in -15*m**3 - 5*m**4 + 88*m**2 - y*m**5 + 17*m**4 - 82*m**z = 0?
0, 1, 2
Let c be 48/(-208) - 162/(-702). Determine w so that -8/3*w**2 + 4/15*w**4 + c + 14/5*w**3 - 14/15*w**5 + 8/15*w = 0.
-2, 0, 2/7, 1
Let o(d) = 2 + 42*d**2 - 28*d - 5 - 46*d**2 + 6. Let j be o(-7). Solve 3/2*s**2 + 15/2*s + 9/2 - 3/2*s**j = 0 for s.
-1, 3
Let s(h) be the first derivative of 27/16*h**4 + 127 + 0*h**3 + 0*h - 1/8*h**6 + 0*h**2 + 0*h**5. Factor s(d).
-3*d**3*(d - 3)*(d + 3)/4
Let o be (8/(-24) + (-11)/(-6))*4. Let g = -1 + o. Factor 1310 - 1310 - 5*m**4 + g*m**5.
5*m**4*(m - 1)
Let s = 7729/441370 + -4/2323. Let z(p) be the second derivative of -5*p - 1/399*p**7 + s*p**5 + 0 + 0*p**6 + 0*p**2 + 1/57*p**4 + 0*p**3. Factor z(m).
-2*m**2*(m - 2)*(m + 1)**2/19
Let x(m) = 7*m**2 + 150*m - 136. Let c(i) = -34*i**2 - 746*i + 680. Let v(q) = -3*c(q) - 16*x(q). Factor v(b).
-2*(b + 17)*(5*b - 4)
Let n(a) = -a**3 + 7*a**2 - 9*a + 20. Let t be n(6). Let g(j) be the second derivative of -1/6*j**4 - 11*j - 1/3*j**3 + 0 + 2*j**t. Factor g(d).
-2*(d - 1)*(d + 2)
Let w(j) be the third derivative of -j**5/100 + 35*j**4/8 + 358*j**3/5 + 5521*j**2. Determine k so that w(k) = 0.
-4, 179
Let r = -172150 - -172153. Factor 0*c + 4 - 2*c**2 + 1/4*c**4 + 0*c**r.
(c - 2)**2*(c + 2)**2/4
Let z(d) = 167*d - 5177. Let i be z(31). Let q(k) be the third derivative of 0*k**4 - 1/5*k**6 + 0*k**3 + i - 9*k**2 + 0*k + 1/3*k**5 + 2/105*k**7. Factor q(y).
4*y**2*(y - 5)*(y - 1)
Let j(f) = -f**2 + 10*f - 18. Let n be j(7). Factor -3*t - 515*t**4 + 0*t - 3*t**2 + n*t**3 + 518*t**4.
3*t*(t - 1)*(t + 1)**2
Suppose 50*x - 48*x - 50 = 0. Let b = 39 - x. Factor 12 + b*h**2 - 3*h**2 - 6*h**2 - 3*h**2 - 10*h.
2*(h - 3)*(h - 2)
Let o(x) be the third derivative of -x**6/90 - 14*x**5/5 - 203*x**4/6 - 968*x**3/9 - 5*x**2 + 2. Factor o(y).
-4*(y + 1)*(y + 4)*(y + 121)/3
Factor -16*x - 30*x**2 + 41*x**2 - 9*x**2 - 660 + 342*x.
2*(x - 2)*(x + 165)
Let h be 3 - 2*(-9)/6. Suppose 0 = -9*l + h*l + 15. Let c(u) = -10*u**4 - 4*u**3 - 5. Let m(d) = -5*d**4 - 2*d**3 - 3. Let q(g) = l*m(g) - 3*c(g). Factor q(r).
r**3*(5*r + 2)
Let c(z) be the third derivative of -z**6/360 + 11*z**5/30 - 251*z**4/72 + 31*z**3/3 - 7039*z**2. Solve c(r) = 0 for r.
1, 3, 62
Let i = 8003 + -7998. Let z(o) be the first derivative of 1/2*o**3 + 1/2*o**2 + 0*o + 0*o**4 - 4 - 1/10*o**i. Factor z(l).
-l*(l - 2)*(l + 1)**2/2
Suppose 0 = 1959*n - 778*n. Let n + 8/7*r - 2/7*r**2 = 0. Calculate r.
0, 4
Let b(f) be the first derivative of -3/2*f**2 + 68 + 1/5*f**3 + 0*f. Factor b(v).
3*v*(v - 5)/5
Let a be 5 + (-83)/((-25)/10 - -2). Factor 187 + 33*t**2 + 40*t + 3*t**4 - 2*t**4 + 0*t**3 - a + 10*t**3.
(t + 1)**2*(t + 4)**2
Let y(h) = -25*h**2 - 125*h - 3. Let a be y(-5). Let x be 248/(-160)*-2 + a/5. Find c, given that -5/6*c**4 + 2/3*c - 2/3 + x*c**2 + 1/3*c**3 = 0.
-1, 2/5, 2
Let w(q) = -q**2 - 95*q - 86. Let b(x) = 2*x**2 + 97*x + 83. Let n(i) = -2*b(i) - 3*w(i). Factor n(t).
-(t - 92)*(t + 1)
Find c, given that -45/8*c**4 - 147/8*c**2 + 3/8*c**5 + 0*c + 189/8*c**3 + 0 = 0.
0, 1, 7
Suppose -546*p + 559*p = 221. Suppose 0 = 27*k - p*k - 40. What is b in -9/4*b**3 + 3/4*b**k + 0 - 15/4*b - 27/4*b**2 = 0?
-1, 0, 5
Let n(o) = o**3 + 5*o**2 - 14*o + 2. Let u be n(-7). Find f, given that 19*f**2 - 45*f**2 + 22*f**u + 4*f**3 = 0.
0, 1
Let l(g) = g**3 + 2*g**2 - 240*g + 868. Let q be l(4). Let f(m) = -m. Let r be f(0). Suppose 18/7*i**3 + 8/7*i**q + r + 12/7*i**2 + 2/7*i = 0. Calculate i.
-1, -1/4, 0
Suppose -2*l + 8 + 8 = 0. Let z(v) = 5*v - 38. Let n be z(l). Find q such that 27*q**2 - 3*q**4 - 3*q**3 - n + 2 + 12*q - 15*q**2 = 0.
-2, -1, 0, 2
Let d = 6397 - 447789/70. Let o(p) be the second derivative of 0*p**2 + 0 - 1/21*p**4 - d*p**5 + 30*p - 1/21*p**3. Determine z, given that o(z) = 0.
-