 320*i**4 + 38 + 160*i**v + 100*i**5 + 36*i**3 - 6 = 0 for i.
-2, -1, 2/5
Factor 12*r**3 + 6*r - 2*r**5 + 9291*r**4 + 16*r**2 - 18579*r**4 + 9288*r**4.
-2*r*(r - 3)*(r + 1)**3
Let l = 66712/9 + -7412. Let r(y) be the first derivative of 0*y - 2/3*y**2 - 13 - l*y**3. Factor r(s).
-4*s*(s + 1)/3
Let f(u) be the third derivative of u**7/10 + 23*u**6/120 + u**5/30 - 2583*u**2. Factor f(w).
w**2*(w + 1)*(21*w + 2)
Let k(x) = -17*x**4 + 31*x**3 - 3*x**2 - 16*x + 5. Let u(m) = 4*m**4 - 2*m**3 - m - 1. Let j(z) = k(z) + 5*u(z). Factor j(l).
3*l*(l - 1)*(l + 1)*(l + 7)
Factor -349791 - 752977 + 8659*w + 2*w**3 - 73021*w**2 + 407205*w + 263712 + 74849*w**2.
2*(w - 2)*(w + 458)**2
Let v(s) be the second derivative of 9*s + 0 - 3/4*s**4 + 6*s**2 - 3/5*s**5 + 2*s**3 - 1/10*s**6. Find k such that v(k) = 0.
-2, -1, 1
Let o(u) be the second derivative of -u**4/18 + 41*u**3/9 - 310*u**2/3 - 1291*u. Factor o(x).
-2*(x - 31)*(x - 10)/3
Let n(d) be the second derivative of 35 + 0*d**3 + d + 1/20*d**4 - 3/10*d**2. Factor n(v).
3*(v - 1)*(v + 1)/5
Suppose m - 2*q = 6, -5 = m - 2*m + q. Suppose -m*u + 96 = 84. Factor -2*a**3 - 956*a**2 - 4*a + 4*a**u + 954*a**2.
2*a*(a - 2)*(a + 1)
Find x, given that -4/5*x**2 - 2*x - 8/5 - 1/10*x**3 = 0.
-4, -2
Let t = -25160 + 25171. Let k(f) be the first derivative of 6/7*f**2 + 0*f + 0*f**3 - 3/28*f**4 - t. Factor k(c).
-3*c*(c - 2)*(c + 2)/7
Let b(p) be the first derivative of -p**6/900 - 13*p**5/150 - 169*p**4/60 - 4*p**3 + p + 28. Let w(i) be the third derivative of b(i). What is x in w(x) = 0?
-13
Let k(h) be the second derivative of -h**6/135 - 53*h**5/30 - 79*h**4/27 + 129*h + 14. Factor k(w).
-2*w**2*(w + 1)*(w + 158)/9
Factor 3*y**3 + 23*y + 20*y - 43*y + 239*y**2 - 1352*y**2.
3*y**2*(y - 371)
Let u(p) be the second derivative of -3*p**5/140 - 81*p**4/28 + 170*p**3/7 - 11*p + 134. Suppose u(d) = 0. What is d?
-85, 0, 4
Suppose -5*q - 3*r + 36 = 0, 0 = 2*q - 2*r - 3 - 5. Suppose -q*d = -32*d + 52. Solve 8/13*l**4 + 0*l - 2/13*l**5 + 4/13*l**d + 0 - 10/13*l**3 = 0 for l.
0, 1, 2
Let n = -24/16807 + -18283591/16807. Let o = 1089 + n. Factor 2/7*p**2 + o - 8/7*p.
2*(p - 2)**2/7
Let w(j) = 5*j**2 + 2407*j - 688. Let i(c) = -c**2 - 2408*c + 688. Let a(p) = -3*i(p) - 2*w(p). Factor a(o).
-(o - 344)*(7*o - 2)
Let v(n) be the third derivative of 1/42*n**7 + 0*n - 1/4*n**6 + 125/6*n**4 + 294*n**2 + 0 - 5/4*n**5 + 0*n**3. Factor v(x).
5*x*(x - 5)**2*(x + 4)
Let c(f) be the first derivative of -4/11*f**3 - 288 - 54/11*f + 2/11*f**4 + 2/55*f**5 - 36/11*f**2. Solve c(k) = 0.
-3, -1, 3
Let h(l) = 10*l**2 - 80*l + 40. Let k(c) = 40*c**2 - 322*c + 159. Let z(g) = 9*h(g) - 2*k(g). What is q in z(q) = 0?
3/5, 7
Let s(n) = -5*n**3 - 35*n**2 - 35*n - 15. Let z(l) = -3*l - 17. Let r be z(-4). Let k(d) = 3*d**3 + 17*d**2 + 17*d + 7. Let h(t) = r*k(t) - 2*s(t). Factor h(w).
-5*(w + 1)**3
Let k be (1136/(-284))/(3 - 0) - 10/(-3). Suppose -3/5*c**k + 21/5*c - 6 = 0. What is c?
2, 5
Let f be (-256)/(-2944) + (-44)/(-23)*(-5 - -6). Factor -153/7*x**f + 264/7*x - 144/7 + 27/7*x**3.
3*(x - 3)*(3*x - 4)**2/7
Suppose -7*c + 162 = 32*c + 15*c. Let s(d) be the first derivative of -4/3*d**c - 4*d - 4*d**2 + 21. Find n, given that s(n) = 0.
-1
Let o(r) = -r**3 - r**2 + 6*r - 4. Let x be ((-98)/8)/(-2 - (-14)/8). Let a(g) = -99 + 49 + x + g. Let f(j) = -12*a(j) + 3*o(j). Factor f(h).
-3*h*(h - 1)*(h + 2)
Let u be -8 - 0 - (10 - (24 - 6)). Let x(v) be the first derivative of 2/15*v**5 + 17 + u*v**3 + 1/9*v**6 + 0*v + 0*v**2 + 0*v**4. Suppose x(p) = 0. What is p?
-1, 0
Let h = 26 - 24. Suppose -l = h*n + 2*l - 14, l = 5*n - 18. Factor g**4 - n*g**2 + 133*g - 133*g + 3*g**4.
4*g**2*(g - 1)*(g + 1)
Factor -1345/4*f**2 - 5/4*f + 5/4*f**3 + 1345/4.
5*(f - 269)*(f - 1)*(f + 1)/4
Let b(n) be the first derivative of -n**3/27 + 5*n**2/9 + 8*n/3 + 61. Factor b(f).
-(f - 12)*(f + 2)/9
Let i(n) be the third derivative of n**5/240 + 23*n**4/96 - 25*n**3/12 - 2*n**2 + 295. Factor i(x).
(x - 2)*(x + 25)/4
Let f be 10 + -10 - (21 + 4505/(-187)). Factor f*u + 14/11*u**2 + 18/11 - 2/11*u**3.
-2*(u - 9)*(u + 1)**2/11
Suppose 588 = -15*o + 138. Let j be ((-21)/14)/(3 + o/8). Factor -1/2*q - 3/8 - 1/8*q**j.
-(q + 1)*(q + 3)/8
Let i be 0*(6 - (5 - -2))*(-2)/(-6). Let t(r) be the first derivative of 5 + 0*r**3 + 3/4*r**4 + i*r - 3/2*r**2. Determine y so that t(y) = 0.
-1, 0, 1
Suppose 892*p + 3 = 895*p. Let w(b) = -14*b**3 - 15*b**2. Let f(j) = -2*j**4 - j**2. Let i(u) = p*w(u) - 3*f(u). Suppose i(s) = 0. Calculate s.
-2/3, 0, 3
Determine x, given that -8*x - 4/7*x**2 + 128/7 = 0.
-16, 2
Let b(g) = -256*g**2 + 771*g + 11967. Let j(v) = 109*v**2 - 384*v - 5983. Let d(k) = -3*b(k) - 7*j(k). Let d(s) = 0. Calculate s.
-52, -23
Let u(b) be the first derivative of -12*b - 315 - 2/21*b**3 + 13/7*b**2. Determine f, given that u(f) = 0.
6, 7
Let o(i) = 505*i + 3032. Let z be o(-6). Factor 2/9*r**3 - 4/9*r**z + 0*r + 0 + 2/9*r**4.
2*r**2*(r - 1)*(r + 2)/9
Let b(j) = j**4 - 4*j**3 + 14*j**2 + 42*j + 24. Let t(n) = 2*n**4 - 5*n**3 + 15*n**2 + 43*n + 20. Let i(a) = 3*b(a) - 2*t(a). What is l in i(l) = 0?
-2, 4
Let p(o) be the first derivative of -2*o**3/39 - 8*o**2/13 - 14*o/13 + 2804. Let p(s) = 0. Calculate s.
-7, -1
Let g(q) = q - 4. Let i be g(12). What is m in -7 + 5 - 3*m**2 - 11*m + 2 + i*m = 0?
-1, 0
Let o(h) be the second derivative of -6*h**6/5 - 33*h**5 + 1223*h**4/12 + 77*h**3 + 20*h**2 - 5863*h. Factor o(z).
-(z - 2)*(z + 20)*(6*z + 1)**2
Solve -247*j**3 - 4776*j**2 - 179*j**3 - 2851272*j + 424*j**3 = 0.
-1194, 0
Let j(u) be the first derivative of -5*u**3/3 - 15*u**2/2 - 13*u + 2094. Let i = 8 - 5. Let b(a) = 10*a**2 + 30*a + 25. Let o(x) = i*b(x) + 5*j(x). Factor o(k).
5*(k + 1)*(k + 2)
Factor 73/3*p**2 + 728/3*p**3 + 0 + 2/3*p + 735*p**4.
p*(7*p + 1)**2*(45*p + 2)/3
Let f(c) = 13*c**2 - 8*c - 50. Let p be f(9). Factor 4*q**4 - 941*q - 3*q**5 - 24*q**3 + p*q + 5*q**5 + 28*q**2.
2*q*(q - 1)**3*(q + 5)
Let c be (-64)/32*((-490)/80 - -6). Factor 0 - 41/4*r - c*r**2.
-r*(r + 41)/4
Let g = -1277953/105 + 12171. Let b(x) be the third derivative of 0*x + 1/14*x**4 + 0 - x**2 - 4/21*x**3 + g*x**5. Factor b(i).
4*(i + 2)*(2*i - 1)/7
Let m(p) be the first derivative of 2*p**6/3 + 484*p**5/5 + 239*p**4 + 476*p**3/3 - 871. Factor m(w).
4*w**2*(w + 1)**2*(w + 119)
Determine q so that 3*q**4 - 1085*q**2 + 747*q**3 - 330*q - 417*q**3 + 1082*q**2 = 0.
-110, -1, 0, 1
Suppose -3*x = -2*s + 30, 2*s = 5*x + 36 + 10. Factor 85*n**s - 40*n**2 + 5 + 35/2*n**5 - 65*n**4 - 5/2*n.
5*(n - 1)**4*(7*n + 2)/2
Let o be 1 + (39 - -9)/(-8). Let m(f) = -12*f**3 + 52*f**2 - 57*f + 17. Let g(c) = -36*c**3 + 156*c**2 - 172*c + 52. Let z(b) = o*g(b) + 16*m(b). Factor z(s).
-4*(s - 3)*(s - 1)*(3*s - 1)
Let x(h) be the third derivative of -h**8/336 - h**7/14 - 23*h**6/60 + 8*h**5/5 + 16*h**4/3 - 43*h**2. Suppose x(b) = 0. Calculate b.
-8, -1, 0, 2
Let s(o) be the first derivative of 8*o**5/5 - 5*o**4 + 16*o**3/3 - 2*o**2 + 1632. Factor s(m).
4*m*(m - 1)**2*(2*m - 1)
Suppose 2*u + 0*u = 6. Let 20*d**2 + 20*d - 19*d - d + 4*d**u = 0. Calculate d.
-5, 0
Let k = 12508 - 12503. Let x(z) be the third derivative of 0*z + 0 - 3/40*z**6 - 2/5*z**k + 5/8*z**4 - 20*z**2 + 3*z**3. Factor x(r).
-3*(r - 1)*(r + 3)*(3*r + 2)
Solve -46/11*w**3 - 274/11*w**2 - 2/11*w**5 + 0 - 168/11*w + 58/11*w**4 = 0.
-1, 0, 3, 28
Factor 32*q**2 + 27*q + 4*q**2 - 4*q**3 + 5*q - 30*q**2 + 22*q**2.
-4*q*(q - 8)*(q + 1)
Let i be (5 + 0)*-4*(12 - (8428/(-50))/(-14)). Factor 6 - 2/5*a**2 - i*a.
-2*(a - 3)*(a + 5)/5
Factor -176/5*d - 68/5*d**2 - 128/5 - 6/5*d**3.
-2*(d + 2)*(d + 8)*(3*d + 4)/5
Suppose 0 = -m + 3*m + 6. Let a(y) = -12*y + 10*y**2 + 16*y - 3 + 8*y**2 - 19*y**2. Let z(f) = -f**2 + 8*f - 7. Let d(v) = m*z(v) + 5*a(v). Factor d(u).
-2*(u - 1)*(u + 3)
Let q be (3/(-36))/(15/(-42940)). Let w = q + -237. Suppose -w + 6*r + 8/9*r**2 = 0. What is r?
-7, 1/4
Let n(p) = -26*p**3 + 1975*p**2 + 1986*p. Let b(y) = 15*y**3 - 987*y**2 - 993*y. Let d(z) = -5*b(z) - 3*n(z). Factor d(o).
3*o*(o - 331)*(o + 1)
Let k(t) be the second derivative of -t**7/2016 + 11*t**6/960 + 7*t**5/240 + 43*t**4/12 - 4*t - 6. Let j(x) be the third derivative of k(x). Factor j(w).
-(w - 7)*(5*w + 2)/4
Suppose 10*q + 4 = 5*q + 4. Let k(w) be the second derivative of 14*w + q