= 0. Calculate r.
-3, 1, 2
Let f(v) be the third derivative of 1/1680*v**8 + 2/75*v**6 + 1/150*v**5 + 0*v + 4/525*v**7 + 2 - 1/3*v**3 - 17/120*v**4 - 40*v**2. Solve f(u) = 0.
-5, -2, -1, 1
Suppose 3*m - 33 - 33 = -3*q, -4*m + 93 = 3*q. Let k be (102/9)/(-3*(-6)/m). Let -j**5 + j**3 - 17*j + k*j - j**4 + j**2 = 0. Calculate j.
-1, 0, 1
Find v such that 433*v**2 + 1327*v**2 + 20*v - 33*v + 36*v**3 + 13*v = 0.
-440/9, 0
Let v(x) = -5*x**3 + 12*x**2 + 17*x. Let q(k) = -12*k**3 + 8*k**3 - 5*k**3 + 8*k**3 + 2*k**2 - k. Let f(t) = 12*q(t) - 3*v(t). Factor f(g).
3*g*(g - 7)*(g + 3)
Let r be ((-192)/(-72))/((-5)/((-2180)/84)) - 4/(-9). Factor -20/7*m**2 - 4/7*m**3 + 500/7 + r*m.
-4*(m - 5)*(m + 5)**2/7
What is r in 195*r**3 - 897*r**5 + 65*r**2 + 446*r**5 + 458*r**5 + 72 - 137*r**4 - 202*r = 0?
-1, 4/7, 1, 18
Suppose 18*m = -7*m - 25925. Let v = 3116/3 + m. Determine u, given that v + 1/3*u**2 + 2*u = 0.
-5, -1
Let g(f) be the second derivative of -7/2*f**3 + 1/80*f**5 - 5 + f + 11*f**2 + 3/8*f**4. Find m such that g(m) = 0.
-22, 2
Let r(u) be the first derivative of -13*u**6/12 + 227*u**5/30 + 1123*u**4/24 + 17*u**3/18 - 61*u**2 + 18*u + 3932. Find i such that r(i) = 0.
-3, -1, 2/13, 2/3, 9
Let a be 2/(-5)*(-30)/(-6). Let b be 24/15 + a/(-5). Suppose -4*r**2 + 4*r - 5*r**2 + 8*r**b + 15*r**2 - 8*r**3 = 0. Calculate r.
-1/4, 0, 2
Factor -q**2 - 76*q**3 - 38 - 1/2*q**5 + 39*q**4 + 153/2*q.
-(q - 76)*(q - 1)**3*(q + 1)/2
Suppose -4*x + 2*m + 26 = -14, 46 = 4*x + m. Let 81 + 14*o**2 - x*o**2 - 3*o - 87 = 0. Calculate o.
-1, 2
Suppose 4*a - 3*a + 3*z + 4 = 0, 3*a - 8 = z. Let s(o) be the first derivative of -1/20*o**4 - 3/10*o**a - 1/5*o**3 - 1/5*o - 1. Determine u so that s(u) = 0.
-1
Let a = -79914/8435 - -139/482. Let j = a - -137/14. Determine v, given that 12/5*v + j*v**2 + 9/5 = 0.
-3, -1
Let j(r) = r**2 - 52*r + 669. Let f(i) = 7. Let m(v) = -f(v) - j(v). Factor m(t).
-(t - 26)**2
Let r(a) be the first derivative of -a**6/24 - 5*a**5/12 - 5*a**4/6 - 33*a**2/2 + a + 123. Let z(w) be the second derivative of r(w). Let z(u) = 0. What is u?
-4, -1, 0
Suppose 57*n = 56*n - 3*v + 650, -2*v = -3*n + 1928. Determine p, given that -n*p**2 + 140 + 91*p + 44*p + 639*p**2 = 0.
-1, 28
Let c(o) = 21*o + 23. Let v = -1695 - -1694. Let p be c(v). Factor 2/13*b**p + 8/13*b - 10/13.
2*(b - 1)*(b + 5)/13
Let i(l) be the second derivative of -l**5/50 + 8*l**4/3 + 27*l**3/5 - 323*l - 1. Factor i(c).
-2*c*(c - 81)*(c + 1)/5
Factor 576/5 + 32*p**2 + 592/5*p + 4/5*p**3.
4*(p + 2)**2*(p + 36)/5
Factor 1184 - 248*f - 6309 + 2980*f - 323 - 6*f**2 + 2*f**2.
-4*(f - 681)*(f - 2)
What is v in 100*v + 32 - 48 - 196*v**2 + 125*v**3 + 3*v**5 - 58*v**4 + 38*v**3 + 4*v**5 = 0?
2/7, 1, 2, 4
Let w be (2 - (-119)/(-84))/((-600)/27 + 23). Factor 45/4*g + 33 + w*g**2.
3*(g + 4)*(g + 11)/4
Let d(q) be the third derivative of 1/15*q**5 - 1/105*q**7 + 143*q**2 + 2 - 1/1008*q**8 - 1/3*q**3 + 1/180*q**6 - 1/72*q**4 + 0*q. Find v such that d(v) = 0.
-6, -1, 1
Let 39032*w + 80688 + 1/3*w**4 + 13177/3*w**2 - 238/3*w**3 = 0. What is w?
-4, 123
Let v(a) be the third derivative of 8*a**7/735 - a**6/84 - 19*a**5/210 - a**4/14 + 2396*a**2. Suppose v(b) = 0. Calculate b.
-1, -3/8, 0, 2
Let l be (-173)/210 - (-1500)/1750. Let s(r) be the second derivative of 0*r**4 + 1/6*r**2 + l*r**5 + 0 - 1/9*r**3 - 1/90*r**6 - 25*r. Factor s(g).
-(g - 1)**3*(g + 1)/3
Factor -147/2 + 24*z + 1/6*z**2.
(z - 3)*(z + 147)/6
Let k = 699 + -487. Determine f so that -24*f + 36 - 105*f**2 + k*f**2 - 103*f**2 = 0.
3
Let l = -79 + 79. Let n be (l/(1 - 7))/(0 - -1). Factor -3/2*f**3 - 3*f + n - 9/2*f**2.
-3*f*(f + 1)*(f + 2)/2
Suppose -4*x + 2*x = -2*j - 10, 0 = -4*x - 4*j + 12. Suppose 2*z**4 - 205*z + 3*z**x - 5*z**2 - 10*z**3 + 215*z = 0. Calculate z.
-1, 0, 1, 2
Let l(u) = -11*u**3 + 33*u**2 - 68*u + 66. Let t(f) = -13*f**3 + 33*f**2 - 69*f + 73. Let a(q) = 6*l(q) - 5*t(q). Factor a(d).
-(d - 31)*(d - 1)**2
Let z(p) be the first derivative of 2*p**3/3 - 29*p**2/2 + 19*p - 6. Let h be z(14). Find v such that -17 + 18 - 10*v**2 + 9 - 20*v**3 + h*v**5 + 15*v = 0.
-1, 1, 2
Let f(m) be the second derivative of m**4/48 + 23*m**3/24 + 21*m**2/4 + 1615*m. Factor f(h).
(h + 2)*(h + 21)/4
Let u = -2362 + 2536. Suppose -67*j = 20*j - u. Solve 338/3 + 2/3*c**j + 52/3*c = 0.
-13
Let c(v) = -43*v**3 - 48*v**2 + 1415*v + 11205. Let l(u) = -25*u**3 - 24*u**2 + 705*u + 5603. Let n(b) = -3*c(b) + 5*l(b). Factor n(i).
4*(i - 14)*(i + 10)**2
Let n(v) = -4*v + 99. Let r be n(21). Find x such that -40*x - 38*x**3 + 16 - 48*x**3 - 139*x**2 + r*x**2 - 18*x**4 = 0.
-2, -1, 2/9
Find f, given that -2/3*f**3 - 16*f**2 + 0 + 4*f**4 - 2/3*f**5 - 32/3*f = 0.
-1, 0, 4
Let z(r) be the second derivative of 0 + 87*r + 135*r**2 + 1/6*r**6 + 75/4*r**4 - 135/2*r**3 - 11/4*r**5. Determine d so that z(d) = 0.
2, 3
Suppose -47*k = -33*k - 84. Let z be 4/k*(-69)/(-92). Factor 0 + 0*t - 1/2*t**2 - z*t**3.
-t**2*(t + 1)/2
Let p(j) be the second derivative of -1/25*j**5 + 1/6*j**4 - 24/5*j**2 + 46/15*j**3 - j - 5. Suppose p(n) = 0. What is n?
-4, 1/2, 6
Let x(q) be the second derivative of q**5/70 - 5*q**4/14 + 9*q**3/7 - 54*q**2 + 11*q. Let t(z) be the first derivative of x(z). Solve t(d) = 0 for d.
1, 9
Let u = -1163344 + 5816981/5. Suppose -3/5*n**2 - u*n - 258/5 = 0. What is n?
-86, -1
Let x be ((-2)/16)/(684/9728*-16). Let -22/9*w**2 - 10/9*w**4 + 32/9 - 31/9*w**3 - x*w**5 + 32/9*w = 0. Calculate w.
-4, -2, -1, 1
Let -1817*p - 380*p**3 + 327*p - 48*p**4 - 217*p**2 - 600 - 1007*p**2 - 2*p**5 = 0. Calculate p.
-12, -5, -1
Let a(q) = 5*q**2 + 3*q. Let x(l) = -l**3 + l**2 + l. Let z = -83 - -83. Suppose 4 = -h, z = 4*b + 3*h - 2*h - 4. Let r(g) = b*x(g) - a(g). Factor r(u).
-u*(u + 1)*(2*u + 1)
Let s = 3205828/45 - 356202/5. Let c = 4 + -2. Factor -2/9*w**c + s*w + 2/9*w**4 - 2/9*w**3 + 0.
2*w*(w - 1)**2*(w + 1)/9
Find s such that 545*s**4 + 1089*s**2 + 45*s**5 + 663*s**2 + 826*s**2 - 495*s**2 + 125 + 1425*s + 847*s**2 + 2130*s**3 = 0.
-5, -1, -1/9
Suppose 0 = -42*l - 285 + 75. Let b be l + (-4)/(24/(-42)). Factor 1/2*q**b + q + 1/2.
(q + 1)**2/2
Let b(p) be the first derivative of 6*p**6/5 + 6*p**5 + 13*p**4/3 - 40*p**3/3 + 8*p**2 - 57*p - 20. Let a(k) be the first derivative of b(k). Factor a(x).
4*(x + 2)**2*(3*x - 1)**2
Factor -39862*t**4 + 937961*t**2 - 5082*t**3 - 4299372*t - 1165555*t**2 + 39859*t**4 - 2147148 - 1929709*t**2.
-3*(t + 1)**2*(t + 846)**2
Let m(x) be the first derivative of x**4/14 + 814*x**3/21 - x**2/7 - 814*x/7 + 11604. Factor m(b).
2*(b - 1)*(b + 1)*(b + 407)/7
Solve 75/4*f**2 + 1/4*f**4 + 5*f**3 + 0 + 0*f = 0.
-15, -5, 0
Let j be ((-136)/(-442))/((-110)/(-143)). Factor 0*y**2 + 0*y - 2/5*y**3 + j*y**4 + 0.
2*y**3*(y - 1)/5
Let u(t) = t**2 - 114*t - 342. Let a be u(-3). Let p(i) be the first derivative of 3/7*i - 2/7*i**2 + 1/21*i**3 + a. Factor p(j).
(j - 3)*(j - 1)/7
Suppose -10*a + 10 = -30. Determine i, given that -308*i**5 + 88*i**2 - 26*i**2 + 33*i - 63 - 34*i**3 + i**a + 309*i**5 = 0.
-7, -1, 1, 3
Let i be (-2)/(-39) + 614950/734175. Factor -2/9*s**3 + 8/3 - 2/3*s**2 + i*s.
-2*(s - 2)*(s + 2)*(s + 3)/9
Let h(f) be the second derivative of -f**4/42 - 20*f**3/21 - 75*f**2/7 + 1334*f. Let h(m) = 0. Calculate m.
-15, -5
Let c = 71 + -68. Suppose -c*i + 2*m + 18 = i, 4*m = 4*i - 12. Factor -i + 2*j**3 + 11*j + 0*j**2 - 13*j + 6*j**2.
2*(j - 1)*(j + 1)*(j + 3)
Suppose 22332 - 44735 = -40*r - 22283. Let -r*f - 8 + 1/2*f**2 = 0. What is f?
-2, 8
Suppose 5*r + k - 37 = 265, k + 3 = 0. Let -r + i**2 + 61 = 0. What is i?
0
Suppose -4*o + 0*o + 434 - 426 = 0. Let d(u) be the second derivative of -5/42*u**7 + 5/12*u**4 + 0 + o*u + 1/4*u**5 + 0*u**3 + 0*u**2 - 1/6*u**6. Factor d(b).
-5*b**2*(b - 1)*(b + 1)**2
Let i(h) be the third derivative of -h**6/240 + 11*h**5/60 - 97*h**4/48 - 10*h**3 - 2*h**2 - 632. Solve i(b) = 0 for b.
-1, 8, 15
Let i(n) be the second derivative of -n**6/30 - 6*n**5 - 3599*n**4/12 + 20*n**3 + 1800*n**2 - 537*n. Factor i(f).
-(f - 1)*(f + 1)*(f + 60)**2
Factor 2820*n - 704 + 4*n**5 + 3947*n**3 - 1107*n**3 - 9298*n**4 - 4240*n**2 + 8578*n**4.
4*(n - 176)*(n - 1)**4
Let w = 191 - 256. Let a be (-392)/2548 - 1/(w/23). Determine p, given that 0 + a*p**2 + 2/5*p = 0.
-2, 0
Factor 8*v**2 - 2/3*v**3 - 82/3*v + 28.
-2*(v - 7)*(v 