(q + 3)
Suppose -5*i - 2*k + 4461 = 0, 4*i + 4*k = 2043 + 1521. Suppose 0 = 913*u - i*u - 80. Factor -5/2*g**3 - 6*g**2 + 5/4 + 3/4*g**u - 3/2*g.
(g - 5)*(g + 1)**2*(3*g - 1)/4
Factor -1/3*r + 11/3 + 1/3*r**3 - 11/3*r**2.
(r - 11)*(r - 1)*(r + 1)/3
Let t be (-114)/(-1140) - 4/(-40). Factor -t*g**2 + g - 6/5.
-(g - 3)*(g - 2)/5
Solve 0*w - 3/7*w**2 + 0 - 2/7*w**3 + 1/7*w**4 = 0.
-1, 0, 3
Suppose -10 = 5*l, -2*b + 5*b + 5*l - 5 = 0. Let -3*c**2 + 28 - 783*c - 2*c**2 + 801*c - b*c**2 = 0. What is c?
-1, 14/5
Let v(z) be the second derivative of -100*z + 14/3*z**2 + 1/36*z**4 + 0 + 29/18*z**3. Factor v(k).
(k + 1)*(k + 28)/3
Let y be ((-1323)/(-2268))/((-63)/(-24)). Let m(g) be the second derivative of 0 + 0*g**2 + y*g**3 - 5*g + 0*g**4 - 1/60*g**5. Find u, given that m(u) = 0.
-2, 0, 2
Let r = 308 - 279. Suppose -33*y - r + 95 = 0. Find h such that -2/3*h**3 - 1/3*h**y + 0*h + 0 - 1/3*h**4 = 0.
-1, 0
Let l(s) be the second derivative of s**4/4 + 352*s**3 + 6309*s**2/2 - 8890*s. Let l(q) = 0. Calculate q.
-701, -3
Factor 3432200/9*c**3 + 3437440/9*c**2 + 5242/9*c + 2/9.
2*(c + 1)*(1310*c + 1)**2/9
Let j(f) = f**3 + 27*f**2 - 104*f - 3376. Let k be j(-26). Factor -60 - 48/5*w**k + 492*w - 5283/5*w**2 + 984/5*w**3.
-3*(w - 10)**2*(4*w - 1)**2/5
Let m = -189727 + 189729. Factor 0 + 1/5*l**3 - 18/5*l**m + 0*l.
l**2*(l - 18)/5
Suppose -3*q = 12 - 12. Suppose -7 + q = -i - o, -4*i = 3*o - 23. Factor 4*n**4 + 2/3*n**5 - 18*n - 40/3*n**i + 4/3*n**3 - 20/3.
2*(n - 2)*(n + 1)**3*(n + 5)/3
Suppose 2/7*b**2 - 80/7*b - 258/7 = 0. Calculate b.
-3, 43
Let w(g) be the third derivative of g**7/1050 + 151*g**6/300 + 301*g**5/300 - 2495*g**2. Factor w(r).
r**2*(r + 1)*(r + 301)/5
Let r(d) = d**4 - 1689*d**3 + 950904*d**2 - 177497566*d - 358812294. Let u(f) = f**3 + 2*f - 6. Let b(t) = -4*r(t) + 4*u(t). What is w in b(w) = 0?
-2, 564
Let g = -221895/7 - -209914875/6622. Let f = g - 13/86. Find h such that 10/11*h**2 - 4/11*h + 0 + f*h**4 - 8/11*h**3 = 0.
0, 1, 2
Factor 3/2*y**3 + 130*y + 52*y**2 + 64.
(y + 2)*(y + 32)*(3*y + 2)/2
Let h(s) = 21*s - 146. Let z be h(7). Let u be z/(((-24)/8)/(-1*11)). Factor 4/3*p**3 + 13/3*p**2 + 2/3 + u*p.
(p + 1)*(p + 2)*(4*p + 1)/3
Let g(p) = -2*p**2 + 3*p. Let d(a) = a**2 + a. Suppose -19*j = -11*j + 24. Let z(m) = j*d(m) + g(m). Factor z(y).
-5*y**2
Let y(g) be the third derivative of -7/360*g**6 + 1/1260*g**7 - 2 + 0*g + 8/9*g**3 + 7/72*g**4 - 37*g**2 - 11/120*g**5. What is t in y(t) = 0?
-2, -1, 1, 16
Let d(w) be the third derivative of w**6/60 - 4*w**5/5 + 23*w**4/12 - 6*w**2 - 31. Factor d(z).
2*z*(z - 23)*(z - 1)
Suppose 2751 = -37*m - 1726. Let i = m - -121. Solve i + y + 1/4*y**3 + 5/4*y**2 = 0.
-4, -1, 0
Let q(t) be the third derivative of 0*t**3 + 0*t - 11/135*t**5 - 1 + 6*t**2 - 4/27*t**4 + 1/180*t**6. Find m such that q(m) = 0.
-2/3, 0, 8
Let g(v) be the second derivative of 0 + 0*v**4 + 0*v**2 + 1/63*v**7 + 16*v + 0*v**3 + 1/15*v**5 + 1/15*v**6. What is m in g(m) = 0?
-2, -1, 0
Let v(k) = -4*k**4 - 46*k**3 + 160*k**2 - 116*k + 6. Let f(j) = 29*j**4 + 324*j**3 - 1120*j**2 + 810*j - 43. Let g(z) = 6*f(z) + 43*v(z). Factor g(r).
2*r*(r - 8)**2*(r - 1)
Let z(y) = -18*y + 165. Let r be z(9). Factor 50 - 13*x**2 + 88*x + 88*x**2 + 27*x - 163*x**3 - 5*x**4 + 168*x**r.
-5*(x - 5)*(x + 1)**2*(x + 2)
Let -1/10*g**3 + 13/5*g**2 + 16 - 64/5*g = 0. What is g?
2, 4, 20
Let o(b) be the first derivative of -b**8/3360 - b**7/672 - b**6/720 - 80*b**3/3 - 18. Let k(q) be the third derivative of o(q). Determine p so that k(p) = 0.
-2, -1/2, 0
Let w = 136 + -132. Suppose -f**w + 8*f + f**2 + 4*f**2 - 2*f**3 - f**2 = 0. What is f?
-2, 0, 2
Let f(r) = 10*r**3 + 90*r**2 + 220*r + 35. Let a(o) = -o**3 - 10*o**2 - 25*o - 4. Let n(x) = -35*a(x) - 4*f(x). Let n(d) = 0. Calculate d.
-1, 0
Let k(b) = 1171*b**3 - 10*b**2 - 1170*b**3 - 18*b - b**2. Let g(n) = -3*n**3 + 22*n**2 + 36*n. Let z(v) = -2*g(v) - 5*k(v). Determine x, given that z(x) = 0.
-9, -2, 0
Let d be (-215)/45 - (-12)/(-54). Let t be -2 - 8/d - (-8)/10. What is f in t*f**2 + 2/5*f + 0 = 0?
-1, 0
Let k(c) be the third derivative of c**5/120 - c**4/3 + 7*c**3/3 - 111*c**2. Factor k(a).
(a - 14)*(a - 2)/2
Let m(x) be the first derivative of -2*x**5/75 - x**4/5 - 26*x**3/45 - 4*x**2/5 - 8*x/15 + 4224. Solve m(k) = 0 for k.
-2, -1
Let q(u) = -2*u - 14. Let l be q(-16). Find o, given that 5*o + l*o + 5*o - 2*o**2 - 12 - 18*o**2 + 4*o**3 = 0.
1, 3
Let g(r) be the second derivative of -r**4/16 - 23*r**3/4 - 615*r**2/8 + 462*r. Suppose g(h) = 0. What is h?
-41, -5
Let p be (11/(-6))/((-4774)/3906). Factor -1/2*u**4 + 2 + 2*u - p*u**2 - 2*u**3.
-(u - 1)*(u + 1)*(u + 2)**2/2
Let r(g) be the third derivative of -11 + 0*g + 2*g**2 + 5*g**3 - 1/3*g**5 - 1/24*g**6 - 5/24*g**4. Factor r(l).
-5*(l - 1)*(l + 2)*(l + 3)
Factor -2883*n - n**4 - 291*n**3 - 353*n**3 + 703*n**3 - 365*n**2 - 410*n**2.
-n*(n - 31)**2*(n + 3)
Let m(z) = z**2 - z. Let g(u) = -u**2 - 20*u + 46. Let c be g(-22). Let t be m(c). Find d, given that 15*d + 4*d**2 - 3*d**3 - 24*d + 4*d**3 + t + 14*d = 0.
-2, -1
Suppose 39/5*l**2 + 24/5*l**3 + 3/5*l**4 + 0 + 18/5*l = 0. What is l?
-6, -1, 0
Let s(a) = -8*a**2 - 4*a. Let f(w) = -156*w**2 - 16816*w + 17505856. Let v(x) = f(x) - 20*s(x). Find p, given that v(p) = 0.
2092
Let t = -136 + 253. Let n be (-4)/9 + 2509/t. Let 5*y - 188*y**3 + 183*y**3 + n - 30*y**2 + 9 = 0. What is y?
-6, -1, 1
Let d = -14310 - -14315. Let n(h) be the first derivative of 1/4*h**4 - 2*h - 14 - 1/5*h**d - 1/2*h**2 + h**3. Solve n(p) = 0.
-1, 1, 2
Let u(v) be the third derivative of -25/3*v**3 + 0 - 26*v**2 - 45/8*v**4 - 3/8*v**6 + 0*v - 25/12*v**5 - 1/42*v**7. Factor u(m).
-5*(m + 1)**2*(m + 2)*(m + 5)
Let k(f) be the second derivative of -f**6/15 - 3*f**5/5 + 7*f**4/6 + 2*f + 29. What is s in k(s) = 0?
-7, 0, 1
Suppose 6*z + 2*z + 504 = 0. Let x = -61 - z. Find k, given that 22*k - 16 - 2*k**3 - 2*k**3 - 50*k + 8*k**3 - 8*k**x = 0.
-1, 4
Let n(f) be the first derivative of -161 + 0*f**2 + 0*f + 3*f**4 - 3/5*f**5 - 4*f**3. Determine o, given that n(o) = 0.
0, 2
Let g(o) be the first derivative of o**6/120 - 7*o**5/60 + o**4/4 + 3*o**2 + 2*o - 17. Let a(s) be the second derivative of g(s). Factor a(h).
h*(h - 6)*(h - 1)
Let k(g) be the second derivative of g**7/14 + 9*g**6/5 + 279*g**5/20 + 7*g**4 - 294*g**3 + 1340*g. Find h, given that k(h) = 0.
-7, -6, 0, 2
Suppose 5*a = 30 + 50. Suppose 16 = 3*i + f, -2*f = 2*f - a. Factor -71*l**2 + 7*l**3 + 5*l + l**i - 65*l**2 + 147*l**2.
l*(l + 1)**2*(l + 5)
Let m = 42 + -79. Let j = m - -40. Let 64*v - 154*v**j + 128*v**2 + 3*v**5 - v**5 + 22*v**4 + 238*v**3 = 0. What is v?
-4, -2, -1, 0
Suppose 24*p - 152*p - 4*p**4 - 42*p**2 + 144*p**2 + 16*p**3 - 54*p**2 - 256 = 0. Calculate p.
-2, 4
Let o = -431 - -445. Let h be (2*(-11)/2)/(-1). Determine c, given that o*c**2 - 6 - 3*c + h*c**2 + 14*c**2 - 36*c**2 = 0.
-1, 2
Find g, given that -38/9 - 2/9*g**2 - 40/9*g = 0.
-19, -1
Factor -65*b**3 + 35*b + 152042 - b**4 - b**2 + 25*b**3 - 152030 + 13*b**4.
(b - 3)*(2*b + 1)**2*(3*b - 4)
Let x(f) be the second derivative of f**5/4 - 103*f**4/12 + 105*f**3/2 - 153*f**2/2 + 1314*f. Solve x(k) = 0.
3/5, 3, 17
Let o(k) = -3*k**4 - k**3 + 2*k + 1. Let q(h) = -70*h**4 + 70*h**3 + 544*h**2 - 592*h + 24. Let b(l) = 24*o(l) - q(l). Factor b(m).
-2*m*(m - 1)*(m + 8)*(m + 40)
Let h = 2339663/4 + -584894. Factor -21/2 + 3/4*i**3 - 12*i**2 + h*i.
3*(i - 14)*(i - 1)**2/4
Let g(w) be the third derivative of w**7/315 + 7*w**6/60 - 233*w**5/90 - 7*w**4/12 + 232*w**3/9 - 684*w**2. Suppose g(v) = 0. Calculate v.
-29, -1, 1, 8
Let v(z) = z**3 - 13*z + 45. Let n be v(3). Let s be n/28 + 39/(-52). Factor 0 + s*r**2 - 6/7*r**3 - 3/7*r**4 + 6/7*r.
-3*r*(r - 1)*(r + 1)*(r + 2)/7
Let y(h) be the second derivative of 0 + 1/20*h**4 + 52*h + 363/10*h**2 + 11/5*h**3. Determine w, given that y(w) = 0.
-11
Let p be ((4 - 4) + 6)/(1 + -12 + 14). Factor 1/4*w**5 + 0 + 0*w - 5/2*w**2 - p*w**4 + 17/4*w**3.
w**2*(w - 5)*(w - 2)*(w - 1)/4
Factor 9/4*s**3 + 7/2*s - 65/4*s**2 + 0.
s*(s - 7)*(9*s - 2)/4
Let t(i) be the third derivative of 1/45*i**5 + 1/3*i**3 - 17/72*i**4 - 61*i**2 + 7/360*i**6 + 0 + 0*i. Factor t(n).
(n - 1)*(n + 2)*(7*n - 3)/3
Suppose -2*r = 6*r. Find d such that 189*d**3 + 711*d**3 - 11 + r - 224*d - 5