= 2*k - 10. Suppose 3*r + 0*r = -5*i + 7, -2*r = 2*i - x. Factor -r - 14*v**2 - 4*v**2 + 7*v - 29*v.
-2*(v + 1)*(9*v + 2)
Factor 1/5*u**3 + 62/5 + 29/5*u - 32/5*u**2.
(u - 31)*(u - 2)*(u + 1)/5
Let r(m) be the second derivative of 7*m**5/10 + 173*m**4/6 - 50*m**3/3 + 1299*m. Let r(t) = 0. Calculate t.
-25, 0, 2/7
Let w = 2221/2 + -473071/426. Let v = w - -211/426. Factor -v + 5/4*g - 1/4*g**2 - 1/2*g**3.
-(g - 1)*(g + 2)*(2*g - 1)/4
Let p be 30 + 1*9*13/(-39). Factor -13312*t + 1216*t**2 + p*t**4 - 11*t**4 + 41*t**4 + t**5 + 580*t**3 + 16384 - 13*t**4.
(t - 2)**2*(t + 16)**3
Let q(p) be the first derivative of 0*p**2 - 19*p - 5/6*p**3 + 16 + 5/12*p**4. Let j(v) be the first derivative of q(v). Let j(o) = 0. What is o?
0, 1
Let b(r) be the second derivative of -r**4/2 + 358*r**3/15 + 48*r**2/5 + 2179*r. Factor b(g).
-2*(g - 24)*(15*g + 2)/5
Let x(d) be the second derivative of -d**5/8 + 65*d**4/24 - 125*d**3/6 + 70*d**2 + 605*d. Determine m so that x(m) = 0.
2, 4, 7
Suppose -61 = -4*f + c + 63, 124 = 4*f - 3*c. Let -18*l**4 - 27*l - 6 - 3*l**5 - f*l**2 + 5*l**2 - 570*l**3 - 22*l**2 + 528*l**3 = 0. What is l?
-2, -1
Let n(r) be the first derivative of -40/3*r + 1/12*r**4 - 6*r**2 - 2/3*r**3 - 44. Factor n(t).
(t - 10)*(t + 2)**2/3
Let t(o) be the second derivative of 0*o**2 - 1/40*o**5 - 1/48*o**4 + 5 + 0*o**3 + 11*o - 1/120*o**6. Factor t(z).
-z**2*(z + 1)**2/4
Let r(t) be the second derivative of t**4/72 - 5*t**3/4 - 23*t**2/6 - 936*t. Factor r(g).
(g - 46)*(g + 1)/6
Let a(c) be the third derivative of c**7/525 + 31*c**6/300 - 37*c**5/150 - 163*c**4/60 - 32*c**3/5 + 230*c**2. Let a(i) = 0. What is i?
-32, -1, 3
Let h(u) be the second derivative of u**6/120 - u**5/80 - 7*u**4/8 - 13*u**3/3 - 8*u**2 - u - 1962. Solve h(c) = 0 for c.
-4, -2, -1, 8
Let x(s) be the first derivative of -5*s**4/4 + 55*s**3/3 + 10*s**2 - 220*s - 989. Factor x(f).
-5*(f - 11)*(f - 2)*(f + 2)
Let q(r) be the second derivative of r**7/2940 + r**6/105 - 44*r**3/3 - r**2/2 + 5*r - 14. Let k(t) be the second derivative of q(t). Solve k(b) = 0.
-12, 0
Let k(l) be the first derivative of -4*l**5/15 - 2*l**4/3 + 116*l**3/9 + 20*l**2 + 5083. What is c in k(c) = 0?
-6, -1, 0, 5
Let j(k) be the third derivative of k**6/1140 - 17*k**5/285 + 91*k**4/57 - 392*k**3/19 - 117*k**2 - 3*k + 2. Factor j(s).
2*(s - 14)**2*(s - 6)/19
Let j(b) be the second derivative of 2*b**6/45 - 53*b**5/5 + 157*b**4/3 - 938*b**3/9 + 104*b**2 + 628*b. Factor j(q).
4*(q - 156)*(q - 1)**3/3
Suppose 1360*r + 378657 - 3*r**2 + 200551 - 116808 + 4*r**2 = 0. What is r?
-680
Let n = -148790 - -746972/5. Let d = n + -604. Factor d + 1/5*t**2 - 3/5*t.
(t - 2)*(t - 1)/5
Let h = 31 + -28. Let r be (-7 + 9)*2/1. Factor -12*b - 10*b - h*b**r - 15*b**3 + b - 27*b**2 - 6.
-3*(b + 1)**3*(b + 2)
Determine c so that 1/2 - 243/2*c + 121*c**2 = 0.
1/242, 1
Let -1463/2*n**3 - 504*n - 441/4*n**4 + 64 + 1140*n**2 = 0. Calculate n.
-8, 2/9, 4/7
Suppose x - 2*p = -x, 5*x - p = 8. Suppose -10 = -5*o - 12*k + 9*k, x*o + 3*k + 5 = 0. Find u, given that 0*u**3 + 5/3*u**o + 10/3*u**4 + 0 + 0*u + 0*u**2 = 0.
-2, 0
Let r(z) be the first derivative of 0*z + 18/5*z**5 + 39/4*z**4 + 6*z**2 + 1/2*z**6 - 157 + 12*z**3. Factor r(w).
3*w*(w + 1)**2*(w + 2)**2
Suppose -53*k**3 - 15*k**2 + 35*k**4 - 3 + 7 - 7*k**3 + 30*k**5 - 4 + 10*k = 0. Calculate k.
-2, -1/2, 0, 1/3, 1
Let q = -5/2734 - 2590455/5468. Let x = -472 - q. Suppose 0 + 15/4*h**3 + 0*h + x*h**4 + 1/4*h**5 + 9/4*h**2 = 0. Calculate h.
-3, -1, 0
Let v(b) be the third derivative of 100*b**2 + 1/18*b**4 + 0*b + 0 - 1/90*b**5 - 1/9*b**3. Suppose v(l) = 0. Calculate l.
1
Suppose 0 = 31*m + 18*m - 294. Let w(q) be the first derivative of 0*q**3 + 0*q - 3/5*q**5 - 12 - 3/2*q**4 + 0*q**2 + 1/2*q**m. Determine g so that w(g) = 0.
-1, 0, 2
Let u(i) be the first derivative of 2*i**5/45 - 5*i**4/9 + 8*i**3/9 + 8*i**2 + 12359. Find l, given that u(l) = 0.
-2, 0, 6
Let b(r) be the third derivative of -r**5/510 - r**4/68 + 4*r**3/51 - 6141*r**2 - r. Factor b(u).
-2*(u - 1)*(u + 4)/17
Let x(m) be the third derivative of -m**5/40 - 9*m**4/4 - 80*m**3 + 871*m**2. Find w, given that x(w) = 0.
-20, -16
Let d(p) be the third derivative of -p**7/280 + p**6/20 + p**5/80 - 17*p**4/8 + 21*p**3/2 - 2246*p**2. Determine z so that d(z) = 0.
-3, 2, 7
Let 330 + 1124/3*b**2 + 2048/3*b - 2/3*b**4 + 64/3*b**3 = 0. What is b?
-11, -1, 45
Suppose -14 - 301 = -7*s. Factor s - 64*m + 3 - 202*m**3 + 12*m**2 + 206*m**3.
4*(m - 2)*(m - 1)*(m + 6)
Let j(u) be the second derivative of 3*u**5/40 + 17*u**4/8 - u**3/4 - 51*u**2/4 - 2*u + 241. Suppose j(t) = 0. Calculate t.
-17, -1, 1
Let x(r) = -7*r**2 + 190*r + 2885. Let a(j) = -54*j**2 + 1332*j + 20196. Let f(q) = 2*a(q) - 15*x(q). Factor f(b).
-3*(b + 31)**2
Let h(b) be the second derivative of -b**7/105 - 2*b**6/15 - 27*b**5/50 - 7*b**4/15 + 28*b**3/15 + 24*b**2/5 - 910*b. What is f in h(f) = 0?
-6, -2, -1, 1
Let n be 6/(-4) + 20 + -17. Let u be ((-1)/2)/((-11)/(77/21) - -2). Find w, given that -2 + u*w**2 + n*w = 0.
-4, 1
Factor 88/5*t - 2/5*t**2 + 384/5.
-2*(t - 48)*(t + 4)/5
Let j(f) be the third derivative of -f**6/60 - 40*f**5/3 + 403*f**4/12 + 802*f**3/3 - 2*f**2 - 14*f - 150. Suppose j(q) = 0. Calculate q.
-401, -1, 2
Suppose -8 = 4*k, -5*k = -5*c + 6 + 14. Let l(a) be the first derivative of -6 + 2/5*a**5 + c*a**2 + 0*a - 2/3*a**3 - a**4. Suppose l(j) = 0. What is j?
-1, 0, 1, 2
Let p(x) be the second derivative of x**5/5 - 5*x**4 + 64*x**3/3 + 96*x**2 - 2645*x. Suppose p(n) = 0. Calculate n.
-1, 4, 12
Let x(g) be the first derivative of g**4/8 + 13*g**3/3 - 30*g**2 - 3058. Let x(f) = 0. What is f?
-30, 0, 4
Suppose 4*s - h + 458 = 0, -16*h + 238 = -2*s - 11*h. Let i be (1*12/s)/(-1). Find q, given that i*q + 4/19*q**2 + 0 - 4/19*q**4 + 0*q**3 - 2/19*q**5 = 0.
-1, 0, 1
Suppose 34*c - 8 = 32*c. Suppose -c*v - 22 = -4*k + 6, -3*v = 4*k - 7. Determine x, given that 1/2*x**k - 3/2*x - 1 + 1/2*x**2 + 3/2*x**3 = 0.
-2, -1, 1
Factor 212/5 - 1694/5*v + 32/5*v**3 + 3376/5*v**2.
2*(v + 106)*(4*v - 1)**2/5
Let m be ((-6158)/(-175503))/(6/38). Factor -2/9*g**4 - 4/3*g - m*g**2 + 8/9*g**3 + 0.
-2*g*(g - 3)*(g - 2)*(g + 1)/9
Let k(o) = -o**2 - 1062*o + 14. Let j(i) = -354*i + 4. Let q(z) = -7*j(z) + 2*k(z). Factor q(b).
-2*b*(b - 177)
Suppose 1/3*s**3 - 55*s - 23/3*s**2 - 87 = 0. Calculate s.
-3, 29
Suppose 210 + 384 = 18*f. Let p be 19/(-7) + (36 - f). Solve 8/7 + p*a**2 + 8/7*a = 0 for a.
-2
Let v(a) be the second derivative of -a**4/3 - 70*a**3/3 - 68*a**2 - a + 342. Factor v(p).
-4*(p + 1)*(p + 34)
Suppose 2*p - 48 = -6*p. Suppose 0 = -3*a + 6*a - p. Let -f - a*f**2 - 16 + 17 + 2*f**3 + f**4 + 3*f**5 - 4*f**5 = 0. Calculate f.
-1, 1
Let z = 36 - -16. Suppose 4*p + z = 17*p. Factor 5*o**p - 11*o**4 - 5*o**5 - 14*o**4.
-5*o**4*(o + 4)
Let r(o) be the third derivative of 0*o - 101*o**2 + 0 + 0*o**3 - 19/6*o**4 + 1/15*o**5. Factor r(f).
4*f*(f - 19)
Let l be (-1)/(1 + (0 - -1) + -3). Suppose 4*h + l = 13. Suppose -240*x - 4*x**4 + 3*x**5 + 6*x**h + 3 - 5*x**4 + 231*x + 6*x**2 = 0. What is x?
-1, 1
Let z(j) be the third derivative of 1/60*j**5 + 0 + 0*j**4 + 0*j**3 + 1/70*j**7 + 1/336*j**8 + 0*j + 1/40*j**6 + 35*j**2. What is g in z(g) = 0?
-1, 0
Let s(w) be the first derivative of -2*w**2 + w**4 - 33 + 0*w - 1/3*w**3 + 1/5*w**5. Factor s(t).
t*(t - 1)*(t + 1)*(t + 4)
Let a(p) be the first derivative of 1/12*p**3 - 169 + 1/4*p + 1/4*p**2. Suppose a(m) = 0. Calculate m.
-1
Find v such that -319 - 58*v - 27 + 5*v**2 - 911 - 402*v - 168 = 0.
-3, 95
Factor -75/2 - 1/2*i**2 + 10*i.
-(i - 15)*(i - 5)/2
Let w(o) be the third derivative of 64/3*o**3 + 17/30*o**5 + 1/60*o**6 + 0 - 34*o**2 + 20/3*o**4 + 0*o. Determine n so that w(n) = 0.
-8, -1
Let k = -268 + 270. Factor 5*q**2 + q**3 + 3857*q + 5*q**2 - q**4 - 5*q**k - 3854*q.
-q*(q - 3)*(q + 1)**2
Let z = 112 - 107. Let l be 160/96*6/25*z. Suppose -1/3*w**l - 2 - 7/3*w = 0. Calculate w.
-6, -1
Let w(g) be the third derivative of -2/525*g**7 + 0 - 2/75*g**5 + 16*g**2 + 0*g**4 + g + 0*g**3 - 1/50*g**6. Factor w(i).
-4*i**2*(i + 1)*(i + 2)/5
Let n(y) = -41*y**3 - 40*y**2 + 119*y + 154. Let s(l) = 8*l**3 + 8*l**2 - 24*l - 30. Let w(f) = -3*n(f) - 16*s(f). Factor w(v).
-(v - 2)*(v + 3)*(5*v + 3)
Let w be (-15)/(-60) + (1768/224 - -3). Sol