-3*u**2 + 15/2*u - 1/2*u**3 - 5. Factor d(r).
-3*(r - 1)*(r + 5)/2
Let -62*t**2 - 1008*t + 29*t**2 - 8322 + 6*t**2 - 1086 = 0. What is t?
-56/3
Let x(f) = f**2 - 8*f + 11. Suppose -4*c + 15 = -13. Let y be x(c). Let 3/2*t**2 + 0 + 0*t**3 - 1/2*t**y - t = 0. What is t?
-2, 0, 1
Let v(n) be the second derivative of n**4/6 - 65*n. Factor v(g).
2*g**2
Suppose -6/7*v**4 - 3/7*v**5 + 0 + 0*v**2 + 24/7*v**3 + 0*v = 0. What is v?
-4, 0, 2
Suppose -18*n + 13*n - 3*m + 25 = 0, -5*n + 25 = m. Find g, given that -1/2*g**3 + 0*g**2 + 1/4*g + 0 + 0*g**4 + 1/4*g**n = 0.
-1, 0, 1
Let t = 15 + -5. Suppose 0*x = -2*x + t. Suppose -10*o**x + 18*o**4 + 80*o**5 + 44*o**4 - 16*o**3 - 8*o**2 = 0. Calculate o.
-1, -2/7, 0, 2/5
Let w(p) be the first derivative of 2*p**5/15 - 5*p**4/6 - 22*p**3/9 + 11*p**2 - 12*p + 432. Find n, given that w(n) = 0.
-3, 1, 6
Let w(q) = -9*q**5 - 33*q**4 + 6*q**3 - 6*q. Let v(k) = k**5 - k**3 + k. Let l(i) = -6*v(i) - w(i). Determine r so that l(r) = 0.
-11, 0
Let p(c) be the second derivative of -2*c**6/15 - 26*c**5/5 - 193*c**4/3 - 208*c**3 - 288*c**2 - 55*c + 2. Factor p(u).
-4*(u + 1)**2*(u + 12)**2
Suppose 6*y**2 - 3*y**2 - 8*y - 18 + y + 4*y = 0. Calculate y.
-2, 3
Let g = -10/47 + 725/94. Let y = -7 + g. Factor 1/4 - 5/4*n**3 - y*n**4 + 1/4*n - 3/4*n**2.
-(n + 1)**3*(2*n - 1)/4
Let h(d) be the third derivative of 0*d**5 + 1/2352*d**8 + 3*d**2 + 0*d**4 + 1/490*d**7 + 0*d + 0*d**3 + 0 + 1/420*d**6. Find b such that h(b) = 0.
-2, -1, 0
Let y be (-910)/273 - (-16)/3. Determine u, given that -9/4*u**y + 1/2*u + 0 + u**3 = 0.
0, 1/4, 2
Let v(l) be the first derivative of 9/5*l**5 + 0*l - 9/2*l**4 - 1/4*l**6 + 5*l**3 - 9/4*l**2 + 19. Suppose v(t) = 0. What is t?
0, 1, 3
Let g be 138/9 + -12 - (-10)/15. Solve 0*w + 1/2 + 0*w**3 + 1/2*w**g - w**2 = 0.
-1, 1
Factor 42*s**3 + 0*s + 0 + 3/5*s**4 + 735*s**2.
3*s**2*(s + 35)**2/5
Factor -16/3*g + 2/9*g**5 + 2/3*g**4 - 4/3*g**3 - 56/9*g**2 + 0.
2*g*(g - 3)*(g + 2)**3/9
Factor -4*t**2 + 168*t**3 - 48*t**5 + 146*t**5 - 224*t**4 - 110*t**3.
2*t**2*(t - 2)*(7*t - 1)**2
Let i(f) be the third derivative of f**6/90 - f**5/45 - 5*f**4/9 - 16*f**3/9 - 65*f**2. Factor i(p).
4*(p - 4)*(p + 1)*(p + 2)/3
Let x = 3240 + -48598/15. Let 0 + 0*z - 2/15*z**3 - x*z**2 = 0. Calculate z.
-1, 0
Suppose 0 = 5*g + 4*r - 64, -g + 2*r - 3*r = -13. Let d be (-2)/g - (-4)/12. Factor 13/6*k**3 + d*k + 2*k**4 + 2/3*k**5 + k**2 + 0.
k*(k + 1)**2*(2*k + 1)**2/6
Let b(v) be the first derivative of 3/2*v - 1/2*v**3 + 9/8*v**2 - 8. Find g, given that b(g) = 0.
-1/2, 2
Let z = 3 + -1. Factor -40*y**4 - 2*y**3 + z*y**5 + 0*y**3 + 40*y**4.
2*y**3*(y - 1)*(y + 1)
Let z(m) be the second derivative of m**5/40 + m**4/12 - m**3/12 - m**2/2 - 5*m + 22. What is i in z(i) = 0?
-2, -1, 1
Let p(u) be the first derivative of 2*u**5/65 + 43*u**4/13 + 1174*u**3/13 - 3784*u**2/13 + 3872*u/13 + 275. Factor p(h).
2*(h - 1)**2*(h + 44)**2/13
Let q(y) = y + 17. Let t be q(-17). Let m(n) be the first derivative of 1/20*n**5 + t*n**3 + 0*n**4 + 0*n + 0*n**2 + 4. Factor m(z).
z**4/4
Let q(g) = -6*g**3 - 7*g**2 - 13. Let x be ((-18)/(-4))/(9/(-12)). Let c(b) = -b**3 - b**2 - 2. Let t(s) = x*q(s) + 39*c(s). Factor t(v).
-3*v**2*(v - 1)
Suppose 0 = 2*z - k - k + 2, 0 = 5*z + k - 1. Determine b, given that 0*b + 1/3*b**2 + z = 0.
0
Let x = 45 - 27. Suppose 25 = g + q + 4*q, 2*q = -2*g + x. Factor -4*l**4 + 3*l**g + 3*l**3 + 5*l**4 - 7*l**4.
3*l**3*(l - 1)**2
Let m(a) be the first derivative of -28/3*a**6 + 2/3*a**3 - 2/5*a**5 + 31 + 15*a**4 - 2*a**2 + 0*a. What is i in m(i) = 0?
-1, -2/7, 0, 1/4, 1
Determine s, given that -44/9*s**2 - 272/9*s - 16/3 = 0.
-6, -2/11
Let y(n) be the first derivative of -27 - 1/6*n**4 + 2/3*n**3 + 1/3*n**2 - 2/15*n**5 - 4/3*n. Suppose y(j) = 0. What is j?
-2, -1, 1
Let m = 169/10 - 1163/70. Let 1/7*f + 1/7*f**2 - m = 0. Calculate f.
-2, 1
Let g(r) be the second derivative of 0*r**3 + 1/6*r**4 + 0*r**2 - 25*r + 1/42*r**7 + 1/4*r**5 + 2/15*r**6 + 0. Determine x so that g(x) = 0.
-2, -1, 0
Find x such that -1/2*x**2 - 1/4*x**3 + 1/2 + 1/4*x = 0.
-2, -1, 1
Let t(c) be the second derivative of -1/60*c**5 - 36*c + 1/36*c**4 + 0*c**2 + 0*c**3 + 0. What is j in t(j) = 0?
0, 1
Let a = -12621 - -290285/23. Let 0 + a*y**2 - 14/23*y = 0. Calculate y.
0, 7
Let s = 431/2 - 215. Factor -1/4*m**2 + s + 1/4*m.
-(m - 2)*(m + 1)/4
Suppose 297 = 57*m + 183. Factor -2/9*o**m - 2/9 - 4/9*o.
-2*(o + 1)**2/9
Let a(f) be the first derivative of -1/8*f**3 + 3/4*f - 3/16*f**2 + 19. Factor a(p).
-3*(p - 1)*(p + 2)/8
Let k = 11279 - 11277. Solve -5/6*v**k + 35/3*v - 245/6 = 0.
7
Let w = -10029 + 10033. Find o such that 0*o**2 + 0 + 0*o**3 + 0*o - 3/5*o**5 + 3/5*o**w = 0.
0, 1
Let g(x) be the second derivative of -3*x**5/4 + 10*x**4/3 - 10*x**3/3 + 40*x. Find h, given that g(h) = 0.
0, 2/3, 2
Let u(z) be the third derivative of 0 + 0*z**4 - 7/200*z**6 + 0*z**3 + 9*z**2 + 4/525*z**7 + 0*z - 1/1680*z**8 + 3/50*z**5. Solve u(h) = 0 for h.
0, 2, 3
Suppose -2*n + 6*n = 12. Find a, given that -144 + 4*a**n + 47*a - 52*a**2 + 151*a - 6*a = 0.
1, 6
Let g(u) be the first derivative of -1/2*u**2 + 8/21*u**3 + 2/7*u - 3/28*u**4 + 8. Factor g(k).
-(k - 1)**2*(3*k - 2)/7
Determine j, given that 26/7 - 26/7*j**2 + 2/7*j - 2/7*j**3 = 0.
-13, -1, 1
Let w be -3*((-737)/(-165) + -5). Find x such that 2 - w*x**2 + 38/5*x = 0.
-1/4, 5
Let l(b) = -11*b**4 - b**3 + 3*b**2. Let y(s) = 65*s**4 + 6*s**3 - 17*s**2. Let k(w) = -34*l(w) - 6*y(w). Factor k(d).
-2*d**3*(8*d + 1)
Let h(b) be the second derivative of -b**4/12 + 9*b**3/2 - 13*b**2 - 128*b. Factor h(q).
-(q - 26)*(q - 1)
Let w(n) be the third derivative of -n**8/2688 - n**7/560 + n**6/96 + 531*n**2. Factor w(r).
-r**3*(r - 2)*(r + 5)/8
Let d(c) = -c - 8. Let l be d(-13). Factor -3*u**2 + 0*u + 3 + 5*u - 3*u**3 - l*u + 3*u.
-3*(u - 1)*(u + 1)**2
Let z = -207 + 398. Let j = 193 - z. Determine b so that 0 + 0*b**j + 0*b - 2/9*b**3 - 4/9*b**4 = 0.
-1/2, 0
Let x be 3 - ((4 - 3) + -1). Suppose -5*i + 2*l + 2 = -2, 5 = -2*i + x*l. Suppose 0 + s + 2 + 4 + 3*s - 2*s**i = 0. What is s?
-1, 3
Let s(k) be the first derivative of -3*k**5/5 + 39*k**4/4 - 23*k**3 + 33*k**2/2 + 296. Find z, given that s(z) = 0.
0, 1, 11
Let f = -9 - -19. Factor -15*a + 9*a + f*a - 4*a**2.
-4*a*(a - 1)
Suppose -4*z - 8 + 20 = 0. Factor -8 - 9*f**z + 8*f + 18*f**2 - 12*f**2 + 2*f**4 + f**3.
2*(f - 2)**2*(f - 1)*(f + 1)
Let a(c) be the third derivative of 7/108*c**4 + 1/9*c**3 + 0*c + 1/540*c**6 + 1/54*c**5 + 28*c**2 + 0. Factor a(y).
2*(y + 1)**2*(y + 3)/9
Suppose 2 = -12*l - l + 2. Suppose 0*x + x**2 + 1/4*x**3 + l = 0. Calculate x.
-4, 0
Suppose -n + 4 = -0*n. Let u(l) = -76*l - n*l**2 - 17 + 28*l + 36*l. Let m(j) = -j**2 - 3*j - 4. Let r(h) = 9*m(h) - 2*u(h). Solve r(v) = 0.
-2, -1
Let c be ((-6)/8)/(28/(-336)) - 9. Suppose -a - 3 = -2*a. Solve -1/2*r**2 + c + 0*r + 1/4*r**a = 0.
0, 2
Let m(l) be the third derivative of -l**5/20 - l**4 + 9*l**3/2 - 227*l**2. Factor m(s).
-3*(s - 1)*(s + 9)
Let f(h) be the second derivative of h**4/12 + 3*h**3/2 - 7*h + 10. Let f(q) = 0. What is q?
-9, 0
Let m(h) = -h**2 + 5*h - 11. Let c(o) = o - 1. Let z(s) = -5*c(s) - m(s). Let z(w) = 0. Calculate w.
2, 8
Let s = -20626 + 226888/11. Factor -2/11*r**5 - s*r**4 + 0 + 0*r + 0*r**2 + 0*r**3.
-2*r**4*(r + 1)/11
Let w be 26/6 + ((-34)/(-6) - 5). Suppose 23 = w*t - o - 5, -o = 4*t - 17. Find i, given that -5/2*i**2 - 3/2*i**4 - 3/4*i - 3*i**3 + 0 - 1/4*i**t = 0.
-3, -1, 0
Suppose 116 + 44 + 6*y**2 - y**2 - 76*y - 7*y**2 = 0. What is y?
-40, 2
Suppose 219*l**4 - 9*l**5 + 15*l**3 + 8*l**5 - 194*l**4 - 45*l**2 + 6*l**5 = 0. What is l?
-3, 0, 1
Let s(v) = -v**3 + 8*v**2 - 5*v - 6. Let g be s(7). Suppose g*o - 4*o - 12 = 0. Factor 3*u**2 + u**3 + 4 + 3*u - 2 - o - 6*u**2.
(u - 1)**3
Suppose 4*o - g - 2 - 8 = 0, 0 = -4*o - 5*g - 2. Let q be ((-30)/(-12) + o + -4)*8. Find u, given that -1/4*u**5 + 0*u**3 + 0*u**2 + 0*u**q + 0*u + 0 = 0.
0
Let b = 2713/50 + -217/4. Let x(y) be the second derivative of -b*y**5 - 2*y - 1/6*y**3 + 0 - 1/15*y**4 - 1/5*y**2. Factor x(d).
-(d + 1)**2*(d + 2)/5
Let a be (-580)/29*(-1)/4. Let o(m) = -9*m**2 - 8*m + 1. Let b(r) = -r**2 - r. Let g(i) = a*o(i) - 40*b(i). Factor g(y).
-5*(y - 1)*(y + 1)
Let t(l) be the third derivative of -l**6/660 + l**5/55