4*(s - 1)**2*(s + 2)**2
Suppose -16*a + 920 = -200. Find v such that -9*v + 36 - 16*v + a - 136 - 5*v**2 = 0.
-3, -2
Let u(f) = -4*f + 1. Let d(j) = -30*j - 261. Let g(x) = -d(x) + 6*u(x). Let m be g(-44). Solve -9*o**m - 81/4*o**4 + 77/4*o**2 + 1 + 9*o = 0 for o.
-1, -2/9, 1
Let l be (-119)/(-595)*114/4. Let u(b) be the first derivative of -6 + 18/5*b - 7/5*b**3 + l*b**2. Suppose u(f) = 0. What is f?
-2/7, 3
Let r(p) be the second derivative of -p**5/60 + 74*p**4/3 - 21805*p**3/2 - 198025*p**2/3 + 2*p + 911. Find q such that r(q) = 0.
-2, 445
Let t = 227881/30 - 7596. Let b(v) be the third derivative of 0 - t*v**5 - 1/3*v**4 + 0*v - 4/3*v**3 + v**2. Factor b(o).
-2*(o + 2)**2
Let f = -1036 - -5183/5. Let d(v) be the first derivative of -f*v**4 - 10 - 4/25*v**5 + 2/15*v**6 + 4/5*v**2 + 0*v + 4/15*v**3. What is s in d(s) = 0?
-1, 0, 1, 2
Let v(g) be the second derivative of 3*g**5/140 - g**4/7 - 6*g**3/7 + 395*g - 1. Factor v(q).
3*q*(q - 6)*(q + 2)/7
Let z(q) = -2*q + 2. Let r be z(1). Suppose -2*n + 4*n - 10 = r. Solve 3*k - n*k**2 - 7*k - 5*k - 6*k = 0.
-3, 0
Let z(s) = -57*s + 72. Let a(x) = 517*x - 649. Let r(c) = -6*a(c) - 55*z(c). Let p be r(2). Factor -3/5*f**2 + p - 3/5*f.
-3*f*(f + 1)/5
Let l = -337780/3 + 112594. Let x = -7 + 135. Suppose -l*g**4 + 0 + 1024/3*g + 16*g**3 - x*g**2 = 0. Calculate g.
0, 8
What is u in -u**2 + 5/3*u**3 - 3*u - 1/3*u**4 + 0 = 0?
-1, 0, 3
Factor 161*z + 86473*z**2 - 70 - 1085*z + 126971*z**2 + 71.
(462*z - 1)**2
Let r(d) be the second derivative of -31 + 3/32*d**4 + 2*d - 29/48*d**3 + 3/8*d**2. Factor r(g).
(g - 3)*(9*g - 2)/8
Let o(z) be the third derivative of z**6/120 - 7*z**5/60 + 2*z**4/3 - 2*z**3 + 3*z**2 + 96*z. Factor o(d).
(d - 3)*(d - 2)**2
Suppose 9*y - 10 = 4*y, 0 = 5*j - 2*y - 11. Factor 3*h**2 - 9*h + 16*h - 3*h**j - 7*h.
-3*h**2*(h - 1)
Let i(z) be the third derivative of -z**5/240 + 179*z**4/6 - 256328*z**3/3 - 3*z**2 - 963. Determine s so that i(s) = 0.
1432
Let y(s) be the first derivative of -s**3/3 - 324*s**2 - 104976*s + 930. Factor y(g).
-(g + 324)**2
Let y = 498009 - 498005. Determine q, given that y*q**2 + 0 + 7/2*q + 1/2*q**3 = 0.
-7, -1, 0
Let m be ((-10)/(-12))/((-11)/374)*3/(-4). Factor -1 - 6*b + m*b**2.
(5*b - 2)*(17*b + 2)/4
Let c(g) = -g**3 - 9*g**2 + 28*g - 2. Let w be c(-13). Find l, given that -w*l**2 - 60 + 305*l**2 + 25*l + 15*l = 0.
2, 6
Let z(s) = s**3 + 12*s**2 + 3*s + 18. Let c(f) = f**2 - f - 1. Let q(w) = 2*c(w) + z(w). Let m be q(-14). Factor 35*b + 11 - 44*b + 3*b**m - 5.
3*(b - 2)*(b - 1)
Find x such that -1142/7*x**3 - 7*x**5 - 384/7*x + 0 + 65*x**4 + 160*x**2 = 0.
0, 1, 8/7, 6
What is r in 1878/5*r - 2/5*r**2 + 0 = 0?
0, 939
Let x be (-8 - -26) + (-5 - 7/21). Factor -x*k + 8 + 16/3*k**2 - 2/3*k**3.
-2*(k - 4)*(k - 3)*(k - 1)/3
Suppose -6*i - 4*i + 40 = 0. Suppose -5*s + 118 = -i*d, -7*s + 4*s + 2*d + 70 = 0. Find w, given that 4*w**2 - s*w + 5 - 10*w - 41 = 0.
-1, 9
Let b be (2 - 17/7)/((1088/112)/(-68)). Let 6*h**4 - b*h**3 - 3/2*h**5 - 6*h**2 + 0 + 9/2*h = 0. What is h?
-1, 0, 1, 3
Factor 0*w**2 - 10/7*w**3 + 0 + 0*w - 2/7*w**4.
-2*w**3*(w + 5)/7
Let h(t) be the second derivative of -t**6/720 + t**5/12 + t**3/6 - 22*t**2 - 45*t. Let p(q) be the second derivative of h(q). Find b, given that p(b) = 0.
0, 20
Determine x so that -4*x**4 - 12*x**5 - 26 - 38 + 27781*x**2 + 96*x**3 + 27740*x**2 - 55489*x**2 - 192*x = 0.
-2, -1/3, 2
Determine a so that 22*a**4 - 1310*a**2 - 3944 - 6512*a + 178*a**3 - 4430 + 1598 - 2*a**5 = 0.
-7, -2, 11
Let q(p) = p**2 + 35*p + 280. Let z be q(-12). Let v(r) be the second derivative of 8*r**2 - 40/3*r**3 - 7/5*r**5 + 0 - 14*r + 23/3*r**z. Factor v(a).
-4*(a - 2)*(a - 1)*(7*a - 2)
Let p = 448/199 + -38233/19900. Let n(l) be the second derivative of 1/10*l**6 + 0*l**3 + 3/10*l**4 - p*l**5 + 0*l**2 + 15*l + 0. Factor n(h).
3*h**2*(h - 1)*(5*h - 6)/5
Let g(f) be the first derivative of f**6/33 + 14*f**5/55 + 9*f**4/11 + 4*f**3/3 + 13*f**2/11 + 6*f/11 - 38. Factor g(h).
2*(h + 1)**4*(h + 3)/11
Let v(r) be the first derivative of -7/9*r**3 - 108 - 1/12*r**4 - 7/3*r**2 - 8/3*r. Factor v(y).
-(y + 1)*(y + 2)*(y + 4)/3
Let h(p) be the third derivative of -p**5/270 - 11*p**4/108 - 28*p**3/27 + 4*p**2 - 41*p. Factor h(a).
-2*(a + 4)*(a + 7)/9
Let m(d) = -d**2 + 80*d - 222. Let p(b) = 2*b**2 - 82*b + 216. Let k(h) = -4*m(h) - 3*p(h). What is z in k(z) = 0?
-40, 3
Let i = -3166 + 3168. Let q(u) be the first derivative of -8*u - 4/3*u**3 - 10*u**i + 4 + 2*u**4. Find y, given that q(y) = 0.
-1, -1/2, 2
Let m = 24802 + -24800. Factor 0 - 1/3*t**m - t.
-t*(t + 3)/3
Let v = -2239 - -1513. Let g be v/(-330) + 18/(-10). What is o in 0 + 4/5*o**3 + g*o**4 - 2/5*o**2 - 4/5*o = 0?
-2, -1, 0, 1
Let k be ((-48)/(-9))/4*3. Solve -4*n**2 - 5*n**4 + 0*n**2 + 25*n**3 - 11*n**2 - k*n - 41*n = 0.
-1, 0, 3
Suppose 109*a + 96 = 443 + 307. Let k(u) be the first derivative of 0*u + 5/6*u**a - 15/4*u**4 - 2*u**5 + 20/3*u**3 + 10*u**2 + 13. Find o such that k(o) = 0.
-1, 0, 2
Let d be (-4)/26 + (-123)/(-39). Let y(l) = 2*l**2 + 8*l + 4. Let j be y(-4). Determine a so that -11*a**d + 3*a**3 + j*a**3 = 0.
0
Let u be (-52)/(-4) - (2 + -3 + 2). Let a = u - 10. Solve -d**3 - 49*d**2 + 52*d**2 - d**5 + 0*d**3 + a*d - 3*d**4 = 0.
-2, -1, 0, 1
Let g(j) be the second derivative of 0*j**4 - 270*j + 1/5*j**5 - 2/45*j**6 + 0 + 0*j**2 - 8/9*j**3. Factor g(m).
-4*m*(m - 2)**2*(m + 1)/3
Let p(l) be the first derivative of 0*l + 2/9*l**3 - 53 - 17/3*l**2. Let p(o) = 0. What is o?
0, 17
Let m(h) = -225*h - 48823. Let p be m(-217). Let -33/4*f + 7/2 - 5/4*f**p = 0. What is f?
-7, 2/5
Suppose 2*p - 10 = -5*t + 4*t, 3*p - 14 = -2*t. Let -p*u**4 - 5*u**3 + 37 + 3*u**3 - 8*u + 9*u**3 + u**5 - 37 + 6*u**2 = 0. What is u?
-1, 0, 1, 2, 4
Let c(z) = -14*z**2 - 3697*z + 3736. Let q(r) = 12*r**2 + 3704*r - 3736. Let u(n) = -4*c(n) - 5*q(n). Factor u(w).
-4*(w - 1)*(w + 934)
Let c(k) be the first derivative of 9*k**2 + 79 - 16/5*k**5 - 16*k**3 + 0*k + 11*k**4 + 1/3*k**6. Factor c(a).
2*a*(a - 3)**2*(a - 1)**2
Let x(b) be the third derivative of -b**8/336 - 3*b**7/10 - 65*b**6/6 - 693*b**5/5 + 1210*b**4/3 + 4*b**2 - 1301*b. Solve x(s) = 0 for s.
-22, -20, 0, 1
Let m(w) be the second derivative of -58*w + 0*w**3 - 5/42*w**7 + 5/3*w**4 + 0*w**2 + w**6 + 0 - 9/4*w**5. Suppose m(p) = 0. Calculate p.
0, 1, 4
Factor -6174 - 3675/2*z - 3/2*z**3 - 147*z**2.
-3*(z + 7)**2*(z + 84)/2
Let q(n) = 14*n**2 + 3053*n + 995. Let g(o) = o**2 + 7*o - 2. Let b(m) = -5*g(m) + q(m). Factor b(f).
3*(f + 335)*(3*f + 1)
Let p(s) = 6*s**3 + 129*s**2 + 1341*s + 4119. Let x(d) = 23*d**3 + 515*d**2 + 5358*d + 16475. Let r(a) = -11*p(a) + 3*x(a). Factor r(m).
3*(m + 7)**2*(m + 28)
Suppose m = 4*c - 16, -2*c - 6*m = -m + 14. Suppose 0 = c*w - 6 - 3. Factor 12 - 8*n + w*n**2 - 6 - n.
3*(n - 2)*(n - 1)
Let z(x) = -45*x**3 - 80*x**2 - 85*x. Let y = -125 + 119. Let a(h) = 11*h**3 + 20*h**2 + 21*h. Let f(p) = y*z(p) - 25*a(p). Factor f(w).
-5*w*(w + 1)*(w + 3)
Let z(g) = g**2 + g - 7. Let u(y) = 4*y**2 - 24*y + 161. Let c(a) = -3*u(a) + 9*z(a). Factor c(h).
-3*(h - 14)*(h - 13)
Let k be 15320/(-440) - -35 - 1/((-77)/8324). Suppose -108*m**2 + 400/7 - k*m**3 + 40*m - 6/7*m**5 - 128/7*m**4 = 0. What is m?
-10, -1, 2/3
Let y = -444 - -1157. Factor 713 + 3*x**2 - y + 135*x.
3*x*(x + 45)
Suppose 84*a + 18 = 186. Let t = 21/20 - 1/4. Factor t*y + 2/5*y**a + 2/5.
2*(y + 1)**2/5
Determine x so that 2768*x - 3*x**4 - 2736*x - 192 - 32*x**3 + 191*x**2 + 4*x**4 = 0.
-1, 1, 8, 24
Factor -1525 - 1257 + 128*t - 26*t**4 + 64*t**3 - 34 + 6*t**4 + 528*t**2 + 16*t**4.
-4*(t - 22)*(t - 2)*(t + 4)**2
Factor 89/3 - 533/3*r + 3*r**3 + 265*r**2.
(r + 89)*(3*r - 1)**2/3
Let c(l) be the third derivative of -1/40*l**6 + 72*l**3 - 23/20*l**5 - 15*l**4 + l - 5*l**2 + 0. What is u in c(u) = 0?
-12, 1
Let l = -15/5972 + 53823/29860. Factor 6*r**3 + 9/5 - l*r**2 - 6*r.
3*(r - 1)*(r + 1)*(10*r - 3)/5
Let c = -114 + 119. Suppose -c*h = -0 - 5. Determine o so that 2*o - h - 2*o**3 - 6*o**2 - 2 + 0 + 2*o**4 + 7 = 0.
-1, 1, 2
Let y(h) = h**4 + 108*h**3 - 399*h**2 + 557*h - 234. Let z(b) = b**4 + 318*b**3 - 1199*b**2 + 1672*b - 704. Let p(v) = -8*y(v) + 3*z(v). Factor p(r).
-5*(r - 12)*(r - 4)*(r - 1)**2
Suppose -4*g - q = 9, -2*g + 0*q + 4*q = 0. Let a be (-8)/(-