y = 0?
-2, 0
Let w(a) = -a**2 + 72*a + 1107. Let s be w(-13). What is y in -27 + 51*y - 17/6*y**3 - 1/12*y**4 - 253/12*y**s = 0?
-18, 1
Let h be (-10)/60 - 1/(-2). Let x be 20/6*8778/90090 - 6/(-26). Factor x*v**2 + h*v - 8/9.
(v - 1)*(5*v + 8)/9
Let t(z) = 150*z**3 + 199*z**2 - 583*z - 793. Let h(s) = -13*s**3 - 18*s**2 + 53*s + 72. Let i(g) = 23*h(g) + 2*t(g). Let i(y) = 0. Calculate y.
-1, 7, 10
Let q be 315/(-175)*29/116*40/(-6). Let r(p) be the first derivative of -15 + 4*p**2 - 2/35*p**5 - 1/14*p**4 + 8/7*p**q + 32/7*p. Let r(a) = 0. What is a?
-2, -1, 4
Let j(x) be the third derivative of -x**7/504 - x**6/36 - x**5/8 + x**4/24 + 21*x**3/2 - x**2 - 2*x. Let g(z) be the second derivative of j(z). Factor g(f).
-5*(f + 1)*(f + 3)
Let l(m) be the third derivative of -m**6/300 - 118*m**5/75 + 79*m**4/20 - 76*m**2 - 3*m. Factor l(j).
-2*j*(j - 1)*(j + 237)/5
Solve 95/4*w + 0 - 1/2*w**3 - 33/4*w**2 = 0 for w.
-19, 0, 5/2
Let h(k) be the second derivative of -3*k**5/140 + k**4/28 + 88*k**3/7 - 1440*k**2/7 + 1125*k - 1. Factor h(w).
-3*(w - 8)**2*(w + 15)/7
Let k be (-8)/((-22)/4 + 5). Solve s - 6*s + 17*s**2 - k*s**2 - s = 0 for s.
0, 6
Let a(z) be the third derivative of -z**8/80640 + z**7/420 - z**6/5 - 14*z**5/15 + 110*z**2. Let m(t) be the third derivative of a(t). Let m(g) = 0. What is g?
24
Suppose -13*i - 65*i + 234 = 0. Let r(q) be the second derivative of 1/8*q**2 + 0 + 1/20*q**5 + 1/120*q**6 + 1/8*q**4 + 8*q + 1/6*q**i. Factor r(o).
(o + 1)**4/4
Solve 4*o**3 + 353*o + 31328*o**2 - 31460*o**2 + 7*o = 0 for o.
0, 3, 30
Let m(z) be the second derivative of z**5/140 - 47*z**4/14 + 4418*z**3/7 - 415292*z**2/7 - 692*z. Factor m(q).
(q - 94)**3/7
Let j(l) be the second derivative of 1/8*l**5 - 16/3*l**3 + 24*l + 0 - 1/2*l**4 - 1/120*l**6 + 0*l**2. Let g(i) be the second derivative of j(i). Factor g(n).
-3*(n - 4)*(n - 1)
Let f be (-2)/5 - (-4 - (-13)/((-2145)/(-30))*11). Factor 16/5*c**2 + f*c**4 - 4/5*c + 0 - 4*c**3.
4*c*(c - 1)**2*(2*c - 1)/5
Let i(d) be the first derivative of d**4/6 - 50*d**3/9 + 104*d**2/3 - 160*d/3 + 1329. Factor i(w).
2*(w - 20)*(w - 4)*(w - 1)/3
Suppose -19*s - 1166 - 5370 = 0. Let f be (-19)/(-10) + s/860. Factor 1/2*u**3 - 5*u + f*u**2 + 0.
u*(u - 2)*(u + 5)/2
Suppose 148*k - 231 = -51*k + 366. Let l(v) be the second derivative of 0 - 5/3*v**k + 0*v**2 - 5/12*v**4 - 13*v. Solve l(r) = 0.
-2, 0
Let i(p) = 3*p**2 + 403*p - 1658. Let d be i(4). Solve 16/7 - 2/7*g**4 + 8/7*g - 12/7*g**d - 10/7*g**3 = 0 for g.
-2, 1
Let t(f) be the third derivative of f**5/60 - 583*f**4/24 + 97*f**3 + 2295*f**2 + f. Factor t(g).
(g - 582)*(g - 1)
Suppose p - 5*p = 4*v - 24, -5*p + 5*v = 10. What is o in 45 - 6*o**2 + 2*o**p + 35 - 24*o - 116 = 0?
-3
Suppose -5*y = -3*k + 108, 11*y - 10*y - 4 = -k. Determine d, given that k*d + 1/2*d**2 - 33/2 = 0.
-33, 1
Let z = -23605/3 + 7615. Let m = z + 5392/21. Solve -12/7*l**2 + 0 + 0*l + m*l**3 + 3/7*l**5 - 15/7*l**4 = 0.
0, 1, 2
Let u(v) be the third derivative of 0*v**3 + 74*v**2 + 0*v**4 + 0*v + 0*v**5 + 1/84*v**8 + 0*v**6 - 1/210*v**7 + 2. Let u(l) = 0. What is l?
0, 1/4
Let w(n) be the first derivative of -5*n**4/8 - 125*n**3/6 - 30*n**2 - 595. Factor w(a).
-5*a*(a + 1)*(a + 24)/2
Factor 2/11*i**2 + 226/11*i + 444/11.
2*(i + 2)*(i + 111)/11
Suppose 4*v + 3255 = -3*j, -51*j + 1605 = -2*v - 48*j. Let f be (-30)/18*v/72. Factor f*n + 125/4 + 1/4*n**3 + 15/4*n**2.
(n + 5)**3/4
Let s(y) be the third derivative of -5*y**8/1344 - 19*y**7/280 - 11*y**6/240 - 105*y**2. Factor s(u).
-u**3*(u + 11)*(5*u + 2)/4
Let r(q) be the third derivative of q**8/10080 - q**7/2520 + q**6/2160 - 44*q**3/3 + 66*q**2 + 1. Let w(i) be the first derivative of r(i). Factor w(u).
u**2*(u - 1)**2/6
Let h(z) = 20*z**4 - 268*z**3 + 12*z**2 - 4*z + 4. Let w(t) = 4*t**4 + t**3 + 3*t**2 - t + 1. Let o(a) = h(a) - 4*w(a). Find q such that o(q) = 0.
0, 68
Let a be (-20)/(-6) + 54/81. Suppose 34*d**a - 10*d + 14*d - 36*d**4 + 2 - 4*d**3 = 0. What is d?
-1, 1
Let n(b) = -24*b**2 - 5*b - 7. Let s(j) = -35*j**2 - 10*j - 10. Let v(k) = -10*n(k) + 7*s(k). Suppose v(o) = 0. What is o?
-4, 0
Let d(s) be the first derivative of s**4/24 + 395*s**3/9 + 156025*s**2/12 + 12652. Determine w, given that d(w) = 0.
-395, 0
Let q(p) be the first derivative of 41/27*p**3 + 22/9*p**4 + 16/45*p**5 + 65 + 0*p + 5/18*p**2. Let q(k) = 0. Calculate k.
-5, -1/4, 0
Let p(a) be the first derivative of -2*a**3/9 - 18*a**2 - 490*a/3 - 1077. Determine o, given that p(o) = 0.
-49, -5
Let p(i) be the second derivative of 0*i**3 + 11/90*i**6 + 0*i**2 + 0*i**4 + 12 - 2*i - 1/126*i**7 + 1/5*i**5. Factor p(q).
-q**3*(q - 12)*(q + 1)/3
Let f = 68495068/352737 - -4/32067. Let s = f - 194. Solve 1/11*w**5 - 1/11*w + s*w**2 + 0 - 2/11*w**4 + 0*w**3 = 0 for w.
-1, 0, 1
Factor -1/4*t**4 + 17*t**2 + 80 - 3/2*t**3 + 78*t.
-(t - 8)*(t + 2)**2*(t + 10)/4
Let q = 3/998 + 39881/12974. Let j = -677/4 - -8873/52. Determine v so that q + 48/13*v + 2/13*v**3 + j*v**2 = 0.
-5, -2
Let h = 237281/355980 - -13/118660. Factor h*y**3 + 48*y + 14*y**2 + 136/3.
2*(y + 2)**2*(y + 17)/3
Let a(x) be the first derivative of -214358881*x**6/48 - 2779579209*x**5/20 + 46016663*x**4/4 - 1141514*x**3/3 + 6291*x**2 - 52*x - 10393. Factor a(j).
-(j + 26)*(121*j - 2)**4/8
Let z(l) = -12*l**5 - 22*l**4 + 6*l**3 + 24*l**2 + 6*l - 4. Suppose 83*t = 76*t - 7. Let m(n) = n**3 - n - 1. Let p(i) = t*z(i) + 2*m(i). Factor p(x).
2*(x - 1)*(x + 1)**3*(6*x - 1)
Let d = 0 - -2. Let c = 67253 - 67251. Factor 14/9*g + d*g**c - 4/9.
2*(g + 1)*(9*g - 2)/9
Solve 0 - 3/2*m**3 + 0*m - 246*m**2 = 0 for m.
-164, 0
Let y(q) be the first derivative of 9*q**2/2 - 97*q + 79. Let h be y(11). Solve 2/15*x**h - 2/5*x + 4/15 = 0.
1, 2
Find k such that 70536*k + 35*k**4 - 5*k**5 - 20*k**3 - 35164*k - 35212*k - 220*k**2 + 320 = 0.
-2, -1, 2, 4
Let y(z) be the first derivative of z**6/360 - z**5/40 + z**4/12 - 73*z**3/3 - 62. Let c(r) be the third derivative of y(r). Solve c(q) = 0.
1, 2
Factor 894*l**3 + 596*l**2 - 1749*l**3 + 144*l - 2552*l + 2416 + 857*l**3.
2*(l - 2)**2*(l + 302)
Let w(x) be the third derivative of 0 + 1/10*x**5 - 1/210*x**7 - 80*x**2 - 1/120*x**6 + 0*x**4 + 0*x + 0*x**3. Factor w(o).
-o**2*(o - 2)*(o + 3)
Let a(i) be the first derivative of -i**3/12 - 193*i**2/4 - 37249*i/4 - 2507. Suppose a(t) = 0. Calculate t.
-193
Find x such that 2444/9*x + 2/9*x**2 + 746642/9 = 0.
-611
Let z(k) be the second derivative of -1/80*k**5 - 3/2*k**2 + 0 + 1/48*k**4 + 1/3*k**3 - 157*k. Factor z(s).
-(s - 2)**2*(s + 3)/4
Let z(o) = -25*o**3 - 117*o**2 - 474*o + 608. Let c(k) = -20*k**3 - 119*k**2 - 473*k + 606. Let d(x) = 4*c(x) - 3*z(x). Determine s so that d(s) = 0.
-20, -6, 1
Let w be 3 - 1 - -4 - -15. Let s(b) be the second derivative of 1/3*b**3 - 1/10*b**5 + 2*b**2 + 1/15*b**6 + w*b + 0 - 1/2*b**4. Factor s(q).
2*(q - 2)*(q - 1)*(q + 1)**2
Let q = 105766 + -1374956/13. Factor 0 + q*d**4 + 8/13*d**2 + 0*d + 8/13*d**3.
2*d**2*(d + 2)**2/13
Let u(s) = -1077*s**2 - 458*s - 1. Let k(j) = -542*j**2 - 228*j - 1. Let z(i) = -11*k(i) + 6*u(i). Factor z(b).
-5*(2*b + 1)*(50*b - 1)
Let p(h) be the second derivative of -h**5/25 - 66*h**4/5 - 1280*h**3 + 8000*h**2 - 95*h - 1. Factor p(q).
-4*(q - 2)*(q + 100)**2/5
Let g = -3593 - -7351/2. Determine l so that -57/2*l**4 + 39/2*l + 3 + g*l**3 - 153/2*l**2 = 0.
-2/19, 1
Let k = 1576/51 - 140/17. Let c = 1133846/9 - 125982. Solve c + k*y**2 - 8/3*y**5 - 76/9*y - 236/9*y**3 + 124/9*y**4 = 0.
1/6, 1, 2
Let u be (-54)/(-90)*(-50)/6 - (-9 - -1). What is m in -25/3*m**5 + 5*m**u + 30*m**4 + 0 - 160/3*m**2 - 20*m = 0?
-1, -2/5, 0, 2, 3
Let 10/9*a**2 + 2/9*a - 10/9 - 2/9*a**3 = 0. Calculate a.
-1, 1, 5
Let r = -2707/20 - -271/2. Let d(o) be the second derivative of -r*o**5 + 7/4*o**4 + 0 - 3*o**3 - 23*o + 0*o**2. Factor d(h).
-3*h*(h - 6)*(h - 1)
Let k be (1380/8)/5*26. Let m = -2690/3 + k. Let 0*r**2 + 0 + 0*r + 0*r**4 - 1/3*r**3 + m*r**5 = 0. Calculate r.
-1, 0, 1
Let p(a) = a**3 - 13*a**2 + 36*a - 15. Let j be p(10). Factor 19*g**2 - 4 - j*g + 33 - 3*g**3 - 46*g**2 + 46.
-3*(g - 1)*(g + 5)**2
Suppose 525*f**2 + 96 + 1062*f - 5*f**4 + 50*f**3 + 88*f + 531 + 53 = 0. Calculate f.
-4, -2, -1, 17
Suppose 17 = -5*u + 4*y - 7, -2*y = u + 2. Let v(t) = -2*t - 6. Let p be v(u). Factor 94*z**p - 70*z 