19*m + 2)/7
Let i be (-2)/4*(-13)/((-26)/(-12)). Find o, given that -8*o + 11*o - 12*o - i*o**2 = 0.
-3, 0
Let c(i) = i**2 + 15. Let g(q) = 2*q**2 - 35*q + 111. Let k(a) = -3*c(a) + 3*g(a). Let k(x) = 0. Calculate x.
3, 32
Factor -3/5*o**2 - 12/5 + 3*o.
-3*(o - 4)*(o - 1)/5
Let h be (((-1)/2*0)/(-266 + 268))/1. Find a such that 8/5*a**3 + 2/5*a**2 + 0*a + h = 0.
-1/4, 0
Let n = 16 - 12. Let d = -2 + n. Find f such that 8 - 6*f + 2*f - 20*f**d - 8*f = 0.
-1, 2/5
Let s be ((-48)/96)/((-2)/28). Suppose -3*o = -3*k + 9, -s*k - 4*o = -2*k - 24. Solve -2/7*d**2 - 18/7*d**k + 0 + 0*d + 8/7*d**5 + 12/7*d**3 = 0 for d.
0, 1/4, 1
Find q, given that 16/9*q**2 + 2/3 + 22/9*q = 0.
-1, -3/8
Let h(k) = 12*k**3 + 2 - 9*k**2 + 4*k + 1 + 29*k**2. Let l(i) = 11*i**3 + 19*i**2 + 4*i + 2. Let b(r) = 6*h(r) - 7*l(r). Suppose b(m) = 0. Calculate m.
-2, -1, 2/5
Let l(p) = -10*p + 103. Let g be l(10). Let v(x) be the third derivative of 4*x**2 - 1/20*x**5 - 1/8*x**4 + 0 + 0*x + x**g. Factor v(w).
-3*(w - 1)*(w + 2)
Let o(s) = 6*s**2 + 2336*s - 94136. Let q(c) = c**2 + 334*c - 13448. Let w(h) = 3*o(h) - 20*q(h). Let w(v) = 0. Calculate v.
82
Let s(j) = 23*j + 1. Let i be s(1). Suppose -2*o + 4*g + i = 0, 6 - 4 = -4*o - 2*g. Factor 0 + 3/2*p + p**o.
p*(2*p + 3)/2
Factor -27*b**2 - 49/3 - 42*b.
-(9*b + 7)**2/3
Let -3/2*i**3 - 3/4*i**4 + 3 + 9/4*i**2 + 6*i = 0. What is i?
-2, -1, 2
Let u = 84 - 82. Let k(v) be the third derivative of 0*v - 1/60*v**6 + 0*v**4 + 0 + 1/105*v**7 + 0*v**5 - 5*v**u + 0*v**3. Determine z, given that k(z) = 0.
0, 1
Let v(i) be the first derivative of 0*i**2 - 2*i**4 - 2/5*i**5 + 0*i - 2*i**3 - 22. Factor v(d).
-2*d**2*(d + 1)*(d + 3)
Suppose -33*n = -5*d - 39*n + 51, -15 = -3*d - n. Factor 0 - 1/9*v**d + 2/9*v + 1/9*v**2.
-v*(v - 2)*(v + 1)/9
Let n(o) be the third derivative of -1/32*o**4 + 0*o - 1/480*o**6 + 1/80*o**5 + 1/24*o**3 + 39*o**2 + 0. Factor n(c).
-(c - 1)**3/4
Let v(x) be the second derivative of x**7/56 + 11*x**6/40 + 3*x**5/8 - 53*x**4/8 + 133*x**3/8 - 147*x**2/8 + 4*x - 3. Determine c so that v(c) = 0.
-7, 1
Let z be (-1)/2 - (-5)/2. Let g(n) be the first derivative of -16*n**4 + 0*n - 64/5*n**5 - 20/3*n**3 + 2 - n**z. Factor g(l).
-2*l*(2*l + 1)*(4*l + 1)**2
Let u(f) = -15*f - 73. Let d be u(-5). Let v(k) be the first derivative of 1/16*k**4 + 1/4*k - 1/8*k**d - 3 - 1/12*k**3. Factor v(l).
(l - 1)**2*(l + 1)/4
Let p(x) = -12*x**2 - 324*x + 16. Let r(u) = -5*u**2 - 108*u + 6. Let l(c) = 3*p(c) - 8*r(c). Let l(z) = 0. Calculate z.
0, 27
Suppose -12 + 15 = -3*d. Let x(i) = -i**3 + i**2 - i + 1. Let w(b) = 4*b**3 + 2*b**2 + 2*b - 2. Let l(k) = d*w(k) - 2*x(k). Solve l(j) = 0.
-2, 0
Let h(r) = -3*r**2 + 2*r - 5. Let y(x) = 0*x - 362*x**2 - 22 + 9*x + 350*x**2 + 1. Let v(c) = 21*h(c) - 5*y(c). Factor v(a).
-3*a*(a + 1)
Let y be (-4)/(-6)*9 - 3. Factor 4*u**5 + u**5 + 3*u**y - 3*u**5 - 5*u**3.
2*u**3*(u - 1)*(u + 1)
Suppose 12 = 3*s + 3*s. Find x such that s*x**2 - 9*x**2 - 5*x**5 + 15*x**3 + 0*x**2 - 3*x**2 = 0.
-2, 0, 1
Factor 10/3*d**2 - 4/3*d + 0 - 8/3*d**3 + 2/3*d**4.
2*d*(d - 2)*(d - 1)**2/3
Let a(h) be the second derivative of h**5/60 - h**4/12 + h**3/9 + 6*h - 10. Factor a(w).
w*(w - 2)*(w - 1)/3
Suppose 4 = 2*a - 0*a. Find t such that -15*t**3 - 5*t**2 + 38*t**5 - 15*t**4 - 43*t**5 + 0*t**a = 0.
-1, 0
Let m(w) be the second derivative of -w**7/105 - 13*w**6/75 + 23*w**5/25 - 16*w**4/15 - 51*w. Determine a so that m(a) = 0.
-16, 0, 1, 2
Let q = -489 + 497. Let h(z) be the third derivative of 0*z**4 - 1/20*z**6 + 0*z**3 + 0 + 0*z + 10*z**2 - 1/448*z**q - 1/20*z**5 - 1/56*z**7. Factor h(i).
-3*i**2*(i + 1)*(i + 2)**2/4
Let h(o) be the second derivative of -1/8*o**4 - o + 1/5*o**5 + 0 + 0*o**3 + o**2. Let t(f) be the first derivative of h(f). Factor t(u).
3*u*(4*u - 1)
Let h(r) = 4*r**3 + 200*r**2 + 2693*r + 4613. Let w(b) = 2*b**3 + 100*b**2 + 1346*b + 2306. Let f(g) = -2*h(g) + 5*w(g). Factor f(k).
2*(k + 2)*(k + 24)**2
Let y(m) be the second derivative of m**5/12 - 5*m**3/6 + 7*m**2/2 + 10*m. Let f(s) be the first derivative of y(s). Factor f(p).
5*(p - 1)*(p + 1)
What is k in 167*k**5 + 44*k**2 + 7*k**3 - 170*k**5 + 28*k**2 + 59*k**3 - 135*k = 0?
-3, 0, 1, 5
Let b(o) be the second derivative of o**4/20 + 113*o**3/5 + 38307*o**2/10 + 771*o. Factor b(f).
3*(f + 113)**2/5
Let z(u) be the first derivative of u**8/112 + 3*u**7/70 + u**6/40 - 3*u**5/20 - u**4/4 + 8*u**2 - 5. Let i(j) be the second derivative of z(j). Factor i(m).
3*m*(m - 1)*(m + 1)**2*(m + 2)
Suppose -3*d = 4*w - 16, -3*d - 3*w + 6 + 6 = 0. Let r(y) be the second derivative of d + 3/4*y**2 + 4*y + 1/8*y**4 + 1/2*y**3. What is n in r(n) = 0?
-1
Let v(k) be the first derivative of -k**6/5 - 3*k**5/25 + 3*k**4/2 + k**3 - 12*k**2/5 - 12*k/5 + 7. Suppose v(j) = 0. Calculate j.
-2, -1, -1/2, 1, 2
Let j(v) be the first derivative of v**4/36 + 10*v**3/27 + 7*v**2/6 - 147. Find g, given that j(g) = 0.
-7, -3, 0
Let q(d) = -d**3 - 10*d**2 + 31*d + 15. Let k be q(-14). Solve 5*l**3 + k - 35*l**2 - 365 + 37*l - 7*l = 0.
0, 1, 6
Let s be 2 - (2*-1 - -2). Let k(p) = -p**2 - 3*p + 8. Let r be k(-4). Let -9*u - 9*u + 2*u**r + 17*u - s*u**2 + u**3 = 0. Calculate u.
-1, -1/2, 0, 1
Let b(u) be the first derivative of -5/6*u + 5/18*u**3 - 43 - 1/12*u**2 + 1/24*u**4. Factor b(d).
(d - 1)*(d + 1)*(d + 5)/6
Let d = 3/248 + 887/8680. Let m = d - -2/7. Factor m - 7/5*y**2 - y.
-(y + 1)*(7*y - 2)/5
Suppose t = 3*b, b - 220 = -5*t - 172. Solve -5/2*k**b - 1/6*k**5 + 3/2*k**2 + 0*k + 7/6*k**4 + 0 = 0 for k.
0, 1, 3
Suppose 0 = -5*o + 2*j + 25, 2 = -3*j + 17. Let g = 9 - o. Suppose 8 - 7*h**3 + 5*h**2 - 8 + g*h = 0. What is h?
-2/7, 0, 1
Let k(r) be the third derivative of 44*r**2 + 0*r + 25/2*r**3 + 5/12*r**4 + 1/180*r**5 + 0. Factor k(i).
(i + 15)**2/3
Let l = 10966 - 10966. Suppose -2/3 + 2/3*f**2 + l*f = 0. Calculate f.
-1, 1
Let a(z) = -z**2 - 6*z - 3. Let u be a(-4). Find x such that 3*x**3 + u*x + 5*x + 12*x**2 - x = 0.
-3, -1, 0
Let z(a) = 11*a - 7. Let f be z(2). Let 6*r + r**4 - 8*r**3 + f*r**2 + 0*r**2 + 8*r - 16 - 6*r = 0. Calculate r.
-1, 1, 4
Let b(s) be the second derivative of -3*s**5/160 - 3*s**4/8 - 21*s**3/16 + 147*s**2/8 + 39*s. Suppose b(m) = 0. What is m?
-7, 2
Let p = 6532 - 58772/9. Determine c so that 56/9*c**2 + 44/9*c**3 + 8/9 + 2/9*c**5 + p*c**4 + 34/9*c = 0.
-4, -1
Let t be (-9)/4*(-8)/12*2. Let x(s) be the first derivative of 0*s**2 - 2/9*s**t + 0*s + 5. What is p in x(p) = 0?
0
Let g be -5*(7 + 277/(-35)). Suppose -4096/7 - 384/7*x**2 - 1/7*x**4 + 2048/7*x + g*x**3 = 0. What is x?
8
Let k(w) be the first derivative of -2*w**6/9 - 28*w**5/15 - 7*w**4/3 + 92*w**3/9 + 16*w**2/3 - 64*w/3 - 57. Determine m so that k(m) = 0.
-4, -1, 1
Factor 2*g - 32*g**3 + 64*g**3 - 35*g**3 - g**4 - g**5 + 2*g**5 + g**2.
g*(g - 2)*(g - 1)*(g + 1)**2
Let j(v) be the first derivative of -v**6/36 - v**5/15 + 7*v**4/24 - 2*v**3/9 + 78. Find s, given that j(s) = 0.
-4, 0, 1
Determine l so that -19 + 15 + 20 - 2 + l**2 + 9*l = 0.
-7, -2
Let n(r) be the first derivative of 4*r**3/3 - 22*r**2 - 168*r - 296. Determine c so that n(c) = 0.
-3, 14
Factor 8*m**4 - 48*m**2 + 511*m**5 + 36*m - 507*m**5 - 8*m**3 + 8*m**4.
4*m*(m - 1)**2*(m + 3)**2
Let p be (12/(-21))/((234/(-27))/(-13))*-2. Factor g**3 - p*g**2 + 0 - 4/7*g.
g*(g - 2)*(7*g + 2)/7
Suppose 0 = -38*l + 3*l. Let t(y) be the third derivative of 0*y**3 - 1/15*y**5 + 1/6*y**4 + 0 + l*y + 3*y**2. Solve t(u) = 0.
0, 1
Let b be 60/(-75)*305*23. Let u = b - -17060/3. Determine m, given that -392*m**2 - 2401/3*m**4 + u*m - 16/3 + 2744/3*m**3 = 0.
2/7
Let f = -2155 - -15093/7. Let 0 - f*u**2 - 2/7*u**3 - 8/7*u = 0. Calculate u.
-2, 0
Let y(d) = 4*d**3 - 16*d**2 - 52*d - 26. Let a(m) = 4*m**3 - 15*m**2 - 51*m - 25. Let f(b) = -6*a(b) + 5*y(b). Factor f(q).
-2*(q - 5)*(q + 2)*(2*q + 1)
Let d(x) be the first derivative of 11*x**4/2 - 130*x**3/3 - 888*x**2/11 - 504*x/11 - 464. Factor d(c).
2*(c - 7)*(11*c + 6)**2/11
Factor -8*t**3 - 2/7*t**4 - 200/7*t**2 - 192/7*t + 0.
-2*t*(t + 2)**2*(t + 24)/7
Let a(u) = -4*u**4 + 135*u**3 + 417*u**2 + 428*u + 144. Let q(d) = -4*d**4 + 134*d**3 + 418*d**2 + 428*d + 144. Let l(s) = 2*a(s) - 3*q(s). Factor l(j).
4*(j - 36)*(j + 1)**3
Let c(o) be the third derivative of o**8/210 + o**7/84 + o**6/180 + 6*o**3 + 13*o*