 - 4 = -3*q. Let -q*f - 22/5 + 2/5*f**2 = 0. What is f?
-1, 11
Let h(z) = 8 - 6 + 3 + 3*z**3 - 5*z**2 - z - 3. Let s be h(2). Factor -s*k**3 + 3*k**5 - 6*k**3 + 7*k**3.
3*k**3*(k - 1)*(k + 1)
Let d(r) be the third derivative of -r**6/2340 + r**5/390 - 193*r**3/6 + 135*r**2 - 2. Let k(o) be the first derivative of d(o). Factor k(t).
-2*t*(t - 2)/13
Let j(q) = -3*q**5 + 1 + 26*q**3 - 40*q**3 - q**2 + q + q**4 + 13*q**3. Let i(o) = -o**5 - o**4 + o**3 + o**2 - o - 1. Let b(u) = i(u) + j(u). Factor b(c).
-4*c**5
Let p(g) be the second derivative of 1/30*g**6 - 30*g**3 - 36*g**2 - 7*g - 53/60*g**5 - 6 + 17/2*g**4. Factor p(l).
(l - 6)**3*(3*l + 1)/3
Let p(o) be the third derivative of 0*o - 5/96*o**4 + o**2 + 9 - 1/48*o**5 + 5/12*o**3. Factor p(h).
-5*(h - 1)*(h + 2)/4
Suppose 7 + 21 = 3*z - 2*f, -3*z + f = -23. Suppose 190*b = 193*b - z. Factor 28/5*g - 2*g**b - 8/5 - 7/5*g**3 + 3/5*g**4.
(g - 2)**2*(g + 2)*(3*g - 1)/5
Factor 271441/4*u - 521/2*u**2 + 1/4*u**3 + 0.
u*(u - 521)**2/4
Let u(r) = -7*r - 5. Let x(j) = 20*j + 16. Let o(g) = 17*u(g) + 6*x(g). Let q be o(-11). Factor 4*i**2 - 82*i + 66*i + q*i**2 + 12.
4*(i - 3)*(i - 1)
Let h(d) = 2*d**3 - 24*d**2 - 131*d + 1713. Let m be h(10). Factor 5*f**4 + 0 - 9*f**m - 4/5*f + 24/5*f**2.
f*(f - 1)*(5*f - 2)**2/5
Let x(n) be the first derivative of 5/132*n**4 + 7/22*n**2 - 34 + 1/220*n**5 - 13/66*n**3 - 30*n. Let o(j) be the first derivative of x(j). Factor o(z).
(z - 1)**2*(z + 7)/11
Factor 111*z**3 + 6028*z - 6036*z - 60*z**4 - 6*z**2 + 88*z**4.
z*(z + 4)*(4*z + 1)*(7*z - 2)
Let n = 397 - 387. Factor -10 - 14*h**2 + 2*h**3 + n*h + h + 5*h + 6*h.
2*(h - 5)*(h - 1)**2
Let v(d) = d**2 + 11*d - 58. Let r be v(-15). Factor 2*m**2 - 607*m + 515*m + 0*m**r.
2*m*(m - 46)
Let t(x) be the third derivative of -x**5/60 + x**4/8 + x**3/3 + 3*x**2. Let w be t(2). Factor -12*y - 6 + 14 - 2*y**2 + 2*y**2 + w*y**3.
4*(y - 1)**2*(y + 2)
Let c(j) be the first derivative of 12*j**5/5 + 719*j**4/10 + 3824*j**3/5 + 15168*j**2/5 - 1024*j/5 - 2216. Determine i, given that c(i) = 0.
-8, 1/30
Let b(u) be the first derivative of 2*u**5/25 + 74*u**4 + 92248*u**3/5 + 108928*u**2 + 1083392*u/5 + 1002. Solve b(c) = 0.
-368, -2
Suppose -85 = 4*x - 101. Factor -4*l**x - 39*l**3 + 20*l**3 - 3*l**2 - 5*l**4 + 31*l**3.
-3*l**2*(l - 1)*(3*l - 1)
Let k(o) be the second derivative of 0 - 1/3*o**3 - 5*o**2 - 1/120*o**6 + 0*o**5 - 2*o + 1/8*o**4. Let p(u) be the first derivative of k(u). Factor p(n).
-(n - 1)**2*(n + 2)
Let g(z) be the second derivative of z**6/10 + 18*z**5/5 + 109*z**4/4 - 273*z**3 - 2028*z**2 + 7251*z. Find v, given that g(v) = 0.
-13, -2, 4
Factor -185/6*b + 31 - 1/6*b**2.
-(b - 1)*(b + 186)/6
Let m = 66 - 62. Factor -2*c**5 + 7*c**4 - 37*c**4 - 2*c**m + 9*c**3 - 67*c**3 - 28*c**2.
-2*c**2*(c + 1)**2*(c + 14)
Let f(l) = 11*l + 26 + 8 - 4*l**2 + 4*l**2 + l**2. Let j be f(-7). Factor -8*g**2 - 24*g - 4*g + 12*g**3 - 14 + j.
4*(g - 2)*(g + 1)*(3*g + 1)
Let a(s) = -128*s + 6020. Let b be a(47). Find t, given that 12/11*t**3 - 28/11*t**2 + 2/11*t**b - 6/11 + 2*t - 2/11*t**5 = 0.
-3, 1
Factor 1/2*s**4 + 0*s**2 + 0*s + 0 - 8*s**3.
s**3*(s - 16)/2
Let j be 0 - -7 - 125*28/560. Let 3/2*a + 3/4*a**2 + j = 0. What is a?
-1
Solve -29*y + 46*y**3 - 147*y**3 + 250*y + 100*y**3 + 49*y - 269*y**2 = 0.
-270, 0, 1
Suppose 27 = 4*z + 51. Let p = z + 22. Determine c so that -181 - 48*c**2 - 28*c**3 + 245 - 5*c**4 + p*c + c**4 = 0.
-4, -2, 1
Let j = -86713 + 953867/11. Let w = -16 + 16. Solve 8/11*f**2 + 10/11*f**4 + 0*f + w - j*f**3 = 0 for f.
0, 2/5, 2
Let t(a) be the first derivative of -21/10*a**4 + 98/25*a**5 - 4/5*a**2 + 8 + 0*a - 16/5*a**3. Suppose t(k) = 0. What is k?
-2/7, 0, 1
Let k(u) be the third derivative of u**8/2688 - u**7/1680 - 31*u**6/960 + 61*u**5/480 - 5*u**4/32 + 3413*u**2. Let k(y) = 0. Calculate y.
-6, 0, 1, 5
Let f(q) be the third derivative of -q**7/105 + 9*q**6/10 - 26*q**5/15 - 9*q**4/2 + 53*q**3/3 - 3102*q**2. Solve f(j) = 0 for j.
-1, 1, 53
Let p(f) = -f**4 + 15*f**2 + f - 12. Let l(r) = 59*r - 25 + 6*r**4 + 97 - 30*r - 36*r - 88*r**2. Let m(h) = -6*l(h) - 34*p(h). Determine b, given that m(b) = 0.
-2, 1, 3
Let x(y) be the first derivative of -7*y**2/2 + 30*y - 2. Let d be x(4). Factor 65*u - 42*u**2 - 605 + 37*u**d + 45*u.
-5*(u - 11)**2
Let a(i) be the third derivative of i**5/360 + 31*i**4/8 + 557*i**3/36 - 3798*i**2. Find s, given that a(s) = 0.
-557, -1
Suppose 369*c + 438*c - 1003*c + 588 = 0. Factor -10/9*a**2 + 0 - 4/3*a + 2/9*a**c.
2*a*(a - 6)*(a + 1)/9
Suppose 14/9*x**4 - 26/9*x**5 + 142/9*x**3 + 46/3*x**2 + 4*x + 0 = 0. Calculate x.
-1, -6/13, 0, 3
Let u(f) be the second derivative of -f**4/96 + 25*f**3/48 - 9*f**2 - 1636*f. Factor u(g).
-(g - 16)*(g - 9)/8
Factor -28 + 33645*g**4 - 16796*g**4 - 61*g**2 + 72*g - 16850*g**4 + 18*g**3.
-(g - 14)*(g - 2)*(g - 1)**2
Let h = -3052 + 9158/3. Let r(s) be the first derivative of -6/55*s**5 + h*s**3 + 0*s - 1/33*s**6 - 39 + 3/22*s**4 + 6/11*s**2. Solve r(a) = 0 for a.
-3, -1, 0, 2
Let n = 1/145 + 86/145. Let h = 358/215 + -63/43. Let -6/5*x**2 + h*x + n*x**5 + 2/5 + 4/5*x**4 - 4/5*x**3 = 0. Calculate x.
-1, 2/3, 1
Let n be -9 + (-192)/(-21) + (21065/(-315))/(-11). Factor n*s - 8/3 + 14/9*s**3 + 94/9*s**2.
2*(s + 1)*(s + 6)*(7*s - 2)/9
Let k(c) be the first derivative of -4/3*c - 12 + 1/9*c**3 - 1/2*c**2. Suppose k(d) = 0. Calculate d.
-1, 4
Let t(s) = 3*s - 9. Let w be t(4). Suppose 10 = -x - w*j + 3, 0 = 4*x - 3*j - 32. Factor -112*n**4 - n**x + n**3 + 112*n**4.
-n**3*(n - 1)*(n + 1)
Let c(l) = -3*l**2 - 26*l + 8. Let m be c(-9). Let x be m*(2 + 0) - (0 - 4). Factor -141*n**2 - 6 - x*n - 6 + 143*n**2.
2*(n - 3)*(n + 2)
Let l be 6 + 1/((-45)/680) - (-10 + 0). Find n such that 0 + l*n**4 - 2/9*n - 2/9*n**5 - 4/3*n**3 + 8/9*n**2 = 0.
0, 1
Let 72/7*z - 310/7*z**3 + 188/7*z**4 - 30/7*z**5 + 0 + 24/7*z**2 = 0. Calculate z.
-2/5, 0, 2/3, 3
Let t(o) = -45*o**2 - 1941*o - 5688. Let h(x) = -7*x**2 - 6*x. Let s(w) = -6*h(w) + t(w). Let s(r) = 0. What is r?
-632, -3
Let f(a) = -166*a**3 - 226*a**2 + 6062*a + 6. Let j(h) = -138*h**3 - 225*h**2 + 6060*h + 5. Let o(x) = -5*f(x) + 6*j(x). Factor o(s).
2*s*(s - 55)**2
Factor -33*w - 115/7 - 2/7*w**2.
-(w + 115)*(2*w + 1)/7
Suppose -15*k + 463 = -14*k - 2*r, 4*r = 5*k - 2327. Let j = -933/2 + k. Solve 0*o + 0 - o**2 + j*o**3 = 0.
0, 2
Let y(b) be the third derivative of 5*b**8/336 + 208*b**7/21 + 9591*b**6/4 + 656914*b**5/3 - 13428095*b**4/24 + b**2 + 441. Suppose y(w) = 0. Calculate w.
-139, 0, 1
Let b(u) be the second derivative of -u**7/147 - 3*u**6/35 - 3*u**5/14 + 25*u**4/42 - 223*u. Determine m, given that b(m) = 0.
-5, 0, 1
Let i(k) be the third derivative of 0 + 13/10*k**5 - 507/4*k**4 + 110*k**2 + 6591*k**3 + 0*k - 1/180*k**6. Let i(p) = 0. Calculate p.
39
Let z be (7 - -6)/52 + (-9)/72. Let o be (6/4)/(6/8). Factor z*s**o + 0 + 1/8*s.
s*(s + 1)/8
Let b = -92792 + 92794. What is i in -5/2*i + b*i**2 + 1 - 1/2*i**3 = 0?
1, 2
Let f(h) be the third derivative of -h**5/90 - 1351*h**4/18 - 1825201*h**3/9 + 999*h**2. Factor f(v).
-2*(v + 1351)**2/3
Let j = -45 - -45. Factor 4*a - 2 + 2 - 2*a**2 + j.
-2*a*(a - 2)
Suppose 10*p = 5*p + 120. Let f be 67 + 2 - (2 + -5). Factor 13*g**2 + g**2 - 16*g**2 - f - p*g.
-2*(g + 6)**2
Let -156 - 123 + 4*x**2 + x**2 - 3355*x + 3439*x - 2*x**2 = 0. What is x?
-31, 3
Let n(w) = 3*w**3 + w**2 + 2*w + 1. Let p(l) = -23*l**3 + 104*l**2 - 172*l - 806. Let h(c) = -6*n(c) - p(c). What is t in h(t) = 0?
-2, 4, 20
Let m(b) be the first derivative of -91 + 0*b + 9/4*b**2 - 3/16*b**4 - 5/4*b**3. Suppose m(q) = 0. What is q?
-6, 0, 1
Let z(b) = -2*b - 8. Let x be z(-10). Find m such that -48*m**3 + 4*m**5 + x*m**3 - 136*m**4 + 168*m**4 = 0.
-9, 0, 1
Let x be ((-4)/5)/((-107)/(-451540)). Let y be x/(-30) + 16/600*5. Factor 52/3*i - 2/3*i**2 - y.
-2*(i - 13)**2/3
Let r be 0/((-11)/121*-11). Let k(o) be the third derivative of -25/24*o**4 - 1/12*o**5 + 0 - 10/3*o**3 + 7*o**2 + r*o. Factor k(u).
-5*(u + 1)*(u + 4)
Solve 1/6*m**4 - 143/6*m**3 + 0*m**2 + 0*m + 0 = 0.
0, 143
Suppose -3*l = -l + 4, -3*k + 5*l = -19. Suppose 12 = -k*s + 7*s - t, -24 = -s - 5*t. Factor -6*q**5 + 13*q**3 + 4*q**5 + 3*q**s - 7*q**3 - q**5.
-3*q**3*(q - 2)*(q + 1)
Let g(n) = 15*n**2 - 660*n + 21790. Let c(u) = 17*u**2 - 660*