 -6, -2
Suppose -76*i + 50 = -29*i - 91. Suppose -8/3*w**i + 0 + 4/3*w**4 + 2/3*w**5 + 2*w - 4/3*w**2 = 0. Calculate w.
-3, -1, 0, 1
Let v be (50/20)/(26/8). Let y = 8291 + -8287. Factor -v*t**2 - 16/13 - y*t + 6/13*t**3.
2*(t - 4)*(t + 2)*(3*t + 1)/13
Let m(p) be the second derivative of 0 + 1/21*p**3 - 5/84*p**4 + 0*p**2 + 85*p - 1/70*p**5 + 1/42*p**6. Let m(v) = 0. What is v?
-1, 0, 2/5, 1
Let b(y) = -381*y**2 - 2433*y + 7284. Let h(t) = -163*t**2 - 1217*t + 3642. Let o(j) = 3*b(j) - 7*h(j). Factor o(i).
-2*(i - 607)*(i - 3)
Let z(f) = 65*f**4 + 66*f**3 + 6*f**2 + 5*f. Let n(d) = -33*d**4 - 33*d**3 - 2*d**2 - 2*d. Suppose 5*i - 6*i = 5. Let g(j) = i*n(j) - 2*z(j). Solve g(y) = 0.
-1, 0, 2/35
Let f = 11699/13 + -899. Suppose -301 = -384*m + 674 - 207. Factor 0 + 2/13*j**3 - f*j - 2/13*j**m.
2*j*(j - 3)*(j + 2)/13
Let x(u) be the third derivative of u**6/24 - 67*u**5 + 67335*u**4/2 + 155*u**2 + 13. Factor x(d).
5*d*(d - 402)**2
Let a(g) = 10*g**3 + 44005*g**2 + 130714555*g + 128623127040. Let h(k) = k**3 - 55*k**2 - k. Let r(l) = -a(l) + 5*h(l). Suppose r(z) = 0. Calculate z.
-2952
Let w(u) be the first derivative of 105*u**4/4 + 745*u**3/3 + 350*u**2 + 60*u + 5856. Factor w(a).
5*(a + 1)*(a + 6)*(21*a + 2)
Let w = -6398 + 6400. Let d(g) be the second derivative of -w*g**3 + 14*g + 0 + 6*g**2 + 1/4*g**4. Factor d(p).
3*(p - 2)**2
Let d(g) be the third derivative of -g**7/63 + 22*g**6/45 - 62*g**5/45 - 16*g**4/9 + 311*g**2 + 2. Find c, given that d(c) = 0.
-2/5, 0, 2, 16
Let c(i) be the third derivative of 269*i**5/20 - 1347*i**4/40 + i**3/5 + 1519*i**2. What is f in c(f) = 0?
2/1345, 1
Let f(i) be the third derivative of -i**7/210 + i**6/90 + 28*i**5/15 + 24*i**4 + 247*i**3/6 - 92*i**2. Let m(v) be the first derivative of f(v). Factor m(n).
-4*(n - 9)*(n + 4)**2
Let b(v) = 5*v**2 + 5*v - 20. Let a(t) = 9*t**2 + 10*t - 41. Let x(z) = -6*a(z) + 11*b(z). Let s be x(9). Solve 58*q**2 - s*q**2 + 19 - 3 = 0 for q.
-2, 2
Suppose -52430*y = -52508*y + 156. Factor 2/7*m**y + 24/7 - 2*m.
2*(m - 4)*(m - 3)/7
Let t(w) be the second derivative of -w**7/147 + 11*w**6/105 - 9*w**5/35 - w**4/21 + 19*w**3/21 - 9*w**2/7 - 1144*w. Solve t(g) = 0 for g.
-1, 1, 9
Let c(i) be the third derivative of -i**6/20 - 51*i**5/40 + 373*i**4/16 - 45*i**3/2 - 9399*i**2. Find b, given that c(b) = 0.
-18, 1/4, 5
Let 62*a**3 - 132 + 76*a**2 + 13*a**3 + 72*a**2 - 72*a - 3*a**5 - 5*a**2 + 52*a**2 - 63*a**4 = 0. What is a?
-22, -1, 1, 2
Let f(w) be the third derivative of 32*w - 35/8*w**4 + 0 - 115/3*w**3 + w**2 + 1/12*w**5. Suppose f(p) = 0. What is p?
-2, 23
Let d(p) = -50*p**2 - 5662*p - 1325378. Let z(x) = 27*x**2 + 2832*x + 662688. Let r(l) = 6*d(l) + 11*z(l). Factor r(a).
-3*(a + 470)**2
Factor 36*n**2 + 6*n**3 - 54 - 54*n - 3*n**4 + 46*n**3 + 4*n**4 + n**5 + 17*n**4 + n**5.
2*(n - 1)*(n + 1)*(n + 3)**3
Let m(s) be the third derivative of 0*s**4 + 0*s - 28*s**2 + 25/12*s**5 + 0*s**3 - 5/12*s**6 + 0 + 1/42*s**7. Solve m(c) = 0.
0, 5
Factor 0*p + 0 - 1/6*p**5 - 1/3*p**2 - 2/3*p**4 - 5/6*p**3.
-p**2*(p + 1)**2*(p + 2)/6
Solve 441*w - 3*w**2 + 1123338 - 1123338 = 0.
0, 147
Let b(n) be the first derivative of n**7/980 + 5*n**6/504 - 5*n**5/168 + n**3/3 - 260. Let j(f) be the third derivative of b(f). What is s in j(s) = 0?
-5, 0, 5/6
Let j(n) be the first derivative of 103/10*n**2 + 152/15*n**3 + 33 + 26/5*n + 22/25*n**5 - 1/30*n**6 + 49/10*n**4. What is g in j(g) = 0?
-1, 26
Let n(m) be the first derivative of 7*m**5/5 + 29*m**4/2 + 100*m**3/3 + 12*m**2 - 502. Factor n(c).
c*(c + 2)*(c + 6)*(7*c + 2)
Let b(q) be the first derivative of 46/7*q**4 + 4/35*q**5 + 1924/21*q**3 + 2304/7*q - 2208/7*q**2 + 62. Factor b(o).
4*(o - 1)**2*(o + 24)**2/7
Let v = -5141/44 + 304343/308. Let i = 873 - v. Factor -2/7*f**4 + 16/7*f + 0*f**3 + i*f**2 + 6/7.
-2*(f - 3)*(f + 1)**3/7
Suppose h - 26 = -14. Factor 3*q**3 + 6*q**3 + 3*q**5 + 0*q**3 - h*q**4.
3*q**3*(q - 3)*(q - 1)
Let p be 30/5 - 66/(-6). Let s(d) = -8*d**2 - 152*d - 2450. Let b(g) = -23*g**2 - 454*g - 7350. Let f(o) = p*s(o) - 6*b(o). Suppose f(n) = 0. Calculate n.
-35
Suppose -494*r + 493*r + 2 = 0. Let k(u) be the first derivative of -14 + u**r + 4*u + 1/12*u**3. Factor k(f).
(f + 4)**2/4
Let r(m) be the third derivative of 3542126*m**7/15 - 827435*m**6/2 + 4696*m**5/5 - 2*m**4/3 + 14887*m**2. Suppose r(l) = 0. Calculate l.
0, 2/3521, 1
Let y(h) = -2*h**3 + h**2 + h + 2. Let u(q) = 7*q**3 + 220*q**2 - 443*q - 10. Let j(b) = u(b) + 5*y(b). Factor j(t).
-3*t*(t - 73)*(t - 2)
Let m(f) be the third derivative of -f**7/12600 - f**6/1800 + f**4/3 - 2*f**2 + f. Let a(z) be the second derivative of m(z). Solve a(c) = 0.
-2, 0
Let g be (342/(-76))/((-1)/1). Let p(m) be the second derivative of g*m**3 + 243/4*m**2 + 1/8*m**4 + 0 + 3*m. What is t in p(t) = 0?
-9
Let n(d) = d**3 - 7*d**2 + 7*d + 4. Let v be n(6). Let f = -5 + v. Suppose 12*i**3 - 10*i**4 - f*i**2 - 9*i + 2*i + 13*i**3 - 3*i = 0. What is i?
-1/2, 0, 1, 2
Let h(p) = p**2 - 13*p + 4. Let r be h(13). Let k(z) = -z**3 - 7*z - 4. Let a(o) = 2*o**3 + 8*o + 5. Let w(x) = r*a(x) + 5*k(x). Factor w(d).
3*d*(d - 1)*(d + 1)
Factor 2450 + 490*v + 22*v**2 + 2/7*v**3.
2*(v + 7)*(v + 35)**2/7
Let w(f) = 11*f - 39. Let r be w(4). Suppose 3*t - 6 = 4*v, 0*t + 2*t + 3*v - 4 = 0. Find l, given that 2*l**t - 25 - 2*l**4 + 25 + 2*l**r - 2*l**3 = 0.
-1, 0, 1
Let t(m) = -m**2 + m + 1. Let w(b) = -4*b**2 + 6*b + 3. Let x = -216 + 213. Let z(q) = x*t(q) + w(q). Solve z(k) = 0.
0, 3
Factor 3*y**2 - 178 - 2921*y + y**2 - 6*y**2 + 3101*y.
-2*(y - 89)*(y - 1)
Let t(s) = -5*s**2 - 9*s - 8. Let m(j) = 4*j**2 + 9*j + 8. Let n = -113 - -69. Let b = n - -47. Let x(q) = b*t(q) + 4*m(q). Factor x(u).
(u + 1)*(u + 8)
Let m = 9034 - 8130599/900. Let y(r) be the third derivative of 11*r**2 + 0*r**3 - 1/90*r**5 + 0*r + 1/45*r**4 + m*r**6 + 0. Find c, given that y(c) = 0.
0, 1, 4
Let y(h) = -3*h**3 + 36*h**2 + 3*h + 12. Let d(i) = i**3 - 2*i**2 - 1. Suppose 3*z + 40 - 1 = -4*c, 0 = -3*c + z - 39. Let x(b) = c*d(b) - y(b). Factor x(w).
-3*w*(w + 1)*(3*w + 1)
Suppose -51 = 5*w - 61. Suppose 20*n - 26*n**w - 24 + 2 + 28*n**2 = 0. Calculate n.
-11, 1
Let t(a) be the first derivative of -a**4/6 + 220*a**3/63 + 284*a**2/21 + 48*a/7 + 6056. What is v in t(v) = 0?
-2, -2/7, 18
Factor 44900*o - 89797*o - 3*o**2 + 44873*o - 36.
-3*(o + 2)*(o + 6)
Let h = 85290 - 85288. Factor 5/4*i**h + i + 1/4 + 1/2*i**3.
(i + 1)**2*(2*i + 1)/4
Suppose 14*v + 931 = 3*v + 964. Let s(a) be the second derivative of 0 + a**v - 1/4*a**4 + 26*a + 9/2*a**2. Factor s(o).
-3*(o - 3)*(o + 1)
Let t = 482128 + -482126. Find o, given that -3/5*o - 9/5*o**t + 6/5 = 0.
-1, 2/3
Let h(k) be the second derivative of -k**7/112 - 21*k**6/80 - 273*k**5/160 + 9*k**4/32 + 43*k**3/2 - 45*k**2 - 38*k. Find w, given that h(w) = 0.
-15, -4, 1
Let h(t) = -t**3 - 9*t**2 + 33. Let m be h(-2). Let b(k) be the first derivative of -9*k**m + 23 + 10*k - 125/4*k**4 - 35*k**3 - 15/2*k**2. Factor b(q).
-5*(q + 1)**3*(9*q - 2)
Let l(c) be the first derivative of -c**4/22 + 422*c**3/33 + 212*c**2/11 - 2257. Factor l(b).
-2*b*(b - 212)*(b + 1)/11
Let f(z) = 7*z**4 - 5*z**3 + 20*z**2 + 46*z + 2. Let c(v) = 18*v**4 - 11*v**3 + 42*v**2 + 91*v + 5. Let r(x) = 4*c(x) - 10*f(x). Solve r(g) = 0.
-4, -3, 0, 4
Let a(q) = -8*q**2 + 3512*q - 850084. Let y(h) = -2*h**2 - 88*h. Let p(d) = -a(d) + 2*y(d). Suppose p(f) = 0. What is f?
461
Suppose 533 = 20*d - 7*d. Suppose -6*x - 5 = -d. Factor -59 - x*g**2 - 7*g - 3*g + 74 + g**2.
-5*(g - 1)*(g + 3)
Let b(p) = 33*p**2 - 6392*p - 3396288. Let o(t) = -24*t**2 + 6390*t + 3396288. Let v(r) = -3*b(r) - 4*o(r). Factor v(y).
-3*(y + 1064)**2
Let i(o) = -5*o**3 - o**2. Let d(a) = 396*a**3 - 366*a**2 - 80*a - 4. Let x = -435 - -433. Let b(n) = x*d(n) + 18*i(n). Let b(l) = 0. What is l?
-2/21, 1
Let b = -111890 - -111893. Factor -54/5*p**2 + 3/5*p**b + 243/5*p + 0.
3*p*(p - 9)**2/5
Let g = 30/2071 + 1801/18639. Let p(m) be the first derivative of g*m**3 - 34 + 10/3*m - 11/6*m**2. Solve p(x) = 0 for x.
1, 10
Let x be 3*((-30)/(-9) + -2). Let u(s) be the second derivative of -1/147*s**7 + 1/70*s**5 + 1/42*s**x + 0 + 10*s + 0*s**3 - 1/105*s**6 + 0*s**2. Factor u(h).
-2*h**2*(h - 1)*(h + 1)**2/7
Let n(j) be the second derivative of -3/4*j**3 + 3 + 3*j + 1/8*