 0 for i.
-2, -2/3, 1
Let h be 22/(-121) - 2*12506/132. Let l = -187 - h. Determine x so that 2/3*x**4 - 8/3 - l*x**3 + 2*x**2 + 8/3*x = 0.
-1, 1, 2
Suppose 6 = 2*x - 2. Let p be (-5)/(-20) + 7/x. Factor 19*o**3 - 4*o**2 - 16*o**3 - p*o**2.
3*o**2*(o - 2)
Suppose 0 = -26*u - 7*u. Let t(i) be the second derivative of i**2 + u*i**3 - 5*i + 0 - 1/6*i**4. Factor t(j).
-2*(j - 1)*(j + 1)
Let q(n) be the third derivative of 2*n**7/105 + n**6/6 + n**5/5 - 5*n**4/6 - 8*n**3/3 - 6*n**2 - 23*n. Factor q(f).
4*(f - 1)*(f + 1)**2*(f + 4)
Let f(u) = -3*u**3 - 4*u**4 + 7*u**4 + 3*u**2 + 4*u**4 + 6 + 5*u**3. Let p(k) = k**4 + k**2 + 1. Let s(c) = f(c) - 6*p(c). Suppose s(i) = 0. What is i?
-3, 0, 1
Let m(j) be the second derivative of j**5/4 + 35*j**4/4 + 100*j**3 + 250*j**2 - j - 2. Factor m(b).
5*(b + 1)*(b + 10)**2
Let b(l) be the third derivative of -l**6/1080 - l**5/45 + l**3/2 + 5*l**2. Let u(w) be the first derivative of b(w). Factor u(a).
-a*(a + 8)/3
Let r(j) = 10*j + 13. Let k be r(-1). Let g(b) be the first derivative of -4/3*b + k - 3*b**2 - 11/6*b**4 - 2/5*b**5 - 10/3*b**3. Let g(s) = 0. What is s?
-1, -2/3
Let o be (4 - -3) + -12 - (1 + -10). Let x(r) be the second derivative of -1/12*r**o + 0 + 6*r + 1/10*r**5 - 1/3*r**3 + 1/2*r**2. Factor x(z).
(z - 1)*(z + 1)*(2*z - 1)
Let x = -7391/2 - -3697. Suppose x*c**2 - 3/2*c + 0 = 0. What is c?
0, 1
Suppose -3*k + 8*m + 175 = 4*m, 0 = 5*k + 3*m - 253. Suppose -4 + 3*y**2 + k*y + 77*y - 154*y + 40 = 0. What is y?
2, 6
Let z(x) be the third derivative of -x**6/660 + x**5/165 + 5*x**4/44 - 136*x**2. Let z(t) = 0. What is t?
-3, 0, 5
Let j(q) be the first derivative of q**4/16 - 7*q**3/4 - 11*q**2/4 - 1108. Find v, given that j(v) = 0.
-1, 0, 22
Let q = -15 + 26. Factor n + q*n**3 + 3*n - 6*n**3 - 8*n**2 - 81*n**4 + 80*n**4.
-n*(n - 2)**2*(n - 1)
Let f be (2/60)/((-3)/(-63)). Let h(u) be the first derivative of 1/5*u**2 + 1/5*u - 1/5*u**5 - 4/5*u**3 + f*u**4 + 4. Solve h(m) = 0 for m.
-1/5, 1
Let c = 9571 + -9571. Factor 6/7*b**2 + 2/7*b**4 + c - 2/7*b - 6/7*b**3.
2*b*(b - 1)**3/7
Let s = -3215/14 - -1618/7. Let f = 15 + -27/2. Factor -f*i**2 + s*i + 0.
-3*i*(i - 1)/2
Let i(x) be the second derivative of x**7/399 + x**6/285 - 3*x**5/190 - x**4/114 + 2*x**3/57 - 9*x + 9. Suppose i(d) = 0. What is d?
-2, -1, 0, 1
Determine w, given that -36/11*w**5 + 0*w**2 + 6/11*w**4 + 2/11*w**3 + 0 + 0*w = 0.
-1/6, 0, 1/3
Suppose 13*k - k - 973*k**2 + 971*k**2 = 0. What is k?
0, 6
Let l(r) = 688*r**2 - 1456*r + 784. Let x(k) = -2*k**2. Let f(n) = -l(n) - 6*x(n). Factor f(j).
-4*(13*j - 14)**2
Determine x, given that 121/6*x**3 + 0 + 5/6*x**5 - 22*x**2 + 6*x - 7*x**4 = 0.
0, 2/5, 2, 3
Let h(u) be the first derivative of 2*u**5/35 + 15*u**4/14 + 54*u**3/7 + 27*u**2 + 324*u/7 - 86. What is n in h(n) = 0?
-6, -3
Find n, given that 3*n + 1/9*n**2 + 50/9 = 0.
-25, -2
Let u be 3938/13244 - 2/7. Let f = 177/430 - u. Factor -2/5*z**2 + 2/5*z - f*z**3 + 2/5.
-2*(z - 1)*(z + 1)**2/5
Let f(r) be the first derivative of -r**6/14 + 6*r**5/35 - 2*r**3/7 + 3*r**2/14 + 138. Factor f(v).
-3*v*(v - 1)**3*(v + 1)/7
Let a(g) = 6*g**2 + 11*g. Let k(z) = 2*z**2 + 4*z. Let h be (-1 + 2 - -2)*1. Suppose -h*m + 8 + 4 = 0. Let o(d) = m*a(d) - 11*k(d). Factor o(n).
2*n**2
Let y(l) = 4*l**5 - 2*l**3 - 6*l**2 - 5*l. Let h(g) = -11*g**5 - g**4 + 5*g**3 + 17*g**2 + 14*g. Let n(x) = -3*h(x) - 8*y(x). Find z such that n(z) = 0.
-2, -1, 0, 1
Factor -214 + 12*o**2 - 79 - 280*o + 101.
4*(o - 24)*(3*o + 2)
Suppose 0*h = -h + 4. Let h*y**4 - 4 + 2*y**3 - 8*y + 0*y**3 + 6*y**3 = 0. Calculate y.
-1, 1
Let y(g) = 3*g**2 + 168*g + 119. Let o(k) = 8*k**2 + 419*k + 297. Let x(t) = 5*o(t) - 12*y(t). Solve x(f) = 0 for f.
-19, -3/4
Let c be (-2 - 588/(-298))*12/(-72). Let l = 439/1788 + c. Factor l*t**3 + 2 - t - 1/2*t**2.
(t - 2)**2*(t + 2)/4
Let t(i) be the second derivative of 4/15*i**2 + 0 - 4*i - 1/30*i**4 + 1/225*i**6 - 4/45*i**3 + 1/75*i**5. Factor t(z).
2*(z - 1)**2*(z + 2)**2/15
Factor 127896/13*h + 6224272/13 + 2/13*h**3 + 876/13*h**2.
2*(h + 146)**3/13
Solve 4/7*k**3 - 8/7*k + 2*k**2 + 0 = 0 for k.
-4, 0, 1/2
Let w(i) be the second derivative of -i**6/72 - i**5/36 + 5*i**4/36 + 11*i**2 + 22*i. Let l(s) be the first derivative of w(s). Factor l(t).
-5*t*(t - 1)*(t + 2)/3
Let u(g) be the third derivative of 1/4*g**4 - 2*g**3 - g**2 + 0*g - 1/80*g**5 + 0. Factor u(s).
-3*(s - 4)**2/4
Factor 2/17*b**2 + 94/17*b + 92/17.
2*(b + 1)*(b + 46)/17
Let r be -1*2/2*-21. Determine g, given that 15*g**2 - r*g**2 + 9*g**2 = 0.
0
Let s(a) be the third derivative of a**6/600 - a**5/60 + a**4/30 - 6*a**2 - 5*a. Suppose s(z) = 0. What is z?
0, 1, 4
Suppose 2*m = d - m + 7, 0 = -5*d - 4*m + 22. What is v in -5*v + 3*v**3 + 3*v**d + 9*v - 3*v + 3*v**4 - 2*v**4 = 0?
-1, 0
Let b = -161 - -169. Factor 4*t**2 + b*t + 12 + 0*t**2 + 4*t + 4*t.
4*(t + 1)*(t + 3)
Suppose 315 = 4*q - 93. Suppose -q - 4*s**3 + 102 + s**4 + 3*s**4 = 0. What is s?
0, 1
Let t(y) be the second derivative of 0*y**2 + 1/14*y**7 + 0*y**3 + 0 + 0*y**4 - 11*y + 0*y**6 - 3/20*y**5. Solve t(x) = 0.
-1, 0, 1
Let g(r) be the first derivative of 34/9*r**3 + 2/3*r**2 + 0*r + 6*r**4 - 2. Let g(a) = 0. Calculate a.
-1/4, -2/9, 0
Let n be 168/86 - 164/(-3526). Find o, given that -12/5 + 14/5*o - 2/5*o**n = 0.
1, 6
Let c = -30/193 + 1797/386. Let 0 + c*x - 6*x**2 + 3/2*x**3 = 0. Calculate x.
0, 1, 3
Let p(z) be the second derivative of 8*z**4/3 + 2*z**3/3 - 3*z**2 - 61*z. Determine o so that p(o) = 0.
-1/2, 3/8
Let p(m) be the second derivative of 0*m**3 + 0 + 1/30*m**5 - 5/18*m**4 - 25*m + 0*m**2. Factor p(y).
2*y**2*(y - 5)/3
Let k(j) be the second derivative of -225*j**7/14 + 33*j**6/2 + 42*j**5/5 + j**4 + 52*j - 3. Find w, given that k(w) = 0.
-2/15, 0, 1
Let a(n) = 7*n + 79. Let m be a(-11). Suppose -5*w - 2 = 3*u - 21, m*u = -2*w + 10. Determine y so that -1/4 + 1/4*y**4 + 0*y**w + 1/2*y**3 - 1/2*y = 0.
-1, 1
Let t(y) be the third derivative of 2/105*y**7 + 0*y + 0*y**3 + 0 + 0*y**5 + 12*y**2 + 1/84*y**8 - 1/15*y**6 + 0*y**4. What is b in t(b) = 0?
-2, 0, 1
Factor 24/5*s**3 + 3*s**2 + 18/5 - 57/5*s.
3*(s - 1)*(s + 2)*(8*s - 3)/5
Let v(d) be the first derivative of -d**4/2 - 4*d**3/3 + d**2 + 4*d + 12. Factor v(q).
-2*(q - 1)*(q + 1)*(q + 2)
Let g = -595 - -599. Determine n so that 6 - g*n + 2/3*n**2 = 0.
3
Let f(d) = -5*d**3 - 8*d**2 + d. Let z(c) = 2*c**3 - c. Let o(n) = -2*f(n) - 10*z(n). Factor o(g).
-2*g*(g - 2)*(5*g + 2)
Let w(c) = 52*c**2 - 864*c + 1996. Let q(f) = 8*f**2 - 133*f + 307. Let o(h) = 32*q(h) - 5*w(h). Let o(z) = 0. Calculate z.
3, 13
Let z = 59/385 - -1/35. Let n(s) = -s**3 - 6*s**2 - s - 1. Let l be n(-6). Suppose -z*j**l + 4/11*j**3 + 4/11*j**4 - 2/11*j + 4/11 - 8/11*j**2 = 0. Calculate j.
-1, 1, 2
Let v(o) = 25*o**2 + 600*o + 16780. Let c(d) = -d**2 - d + 2. Let s(j) = -20*c(j) - v(j). Factor s(y).
-5*(y + 58)**2
Let j = -210 + 213. Let f(w) be the first derivative of 2/7*w**2 + 2/21*w**j + 0*w + 9. Find s such that f(s) = 0.
-2, 0
Factor 4*i + 7/4*i**5 + 0 + 24*i**3 + 11*i**4 + 20*i**2.
i*(i + 2)**3*(7*i + 2)/4
Let g(k) be the third derivative of 1/3*k**3 + 0*k**5 + 0*k + 1/6*k**4 - 1/30*k**6 + 8*k**2 + 0 - 1/105*k**7. Factor g(v).
-2*(v - 1)*(v + 1)**3
Let i be (-10)/65 + 3 + (-67)/(-13). Factor 7 - 1 - 9*r - i*r**2 + r - 2*r**2 + 4*r**3.
2*(r - 3)*(r + 1)*(2*r - 1)
Let y(b) be the third derivative of -b**6/780 + b**5/39 - 7*b**4/39 + 8*b**3/13 - 11*b**2 + 1. Solve y(d) = 0 for d.
2, 6
Let i(u) be the second derivative of 22/3*u**3 + 0 - 14*u + 2*u**4 - 4*u**2. Factor i(v).
4*(v + 2)*(6*v - 1)
Factor 66*b**2 - 129/2*b - 3/2*b**3 + 0.
-3*b*(b - 43)*(b - 1)/2
Let u(h) be the third derivative of -h**8/2016 + h**7/336 + h**6/72 - h**5/60 + 16*h**2. Let s(g) be the third derivative of u(g). Determine w so that s(w) = 0.
-1/2, 2
Let g = -63/26 + 215/78. Factor 1/3*o**2 + g - 2/3*o.
(o - 1)**2/3
Suppose 0 = -10070*w + 10029*w. Let w + 1/2*g - 1/4*g**2 = 0. Calculate g.
0, 2
Suppose -1 - 2 = -o. Let f = -100 + 116. Determine b so that -b**3 + 3 + b**5 - 8*b**o + 28*b**3 + f*b + 7*b**4 + 25*b**2 + 1 = 0.
-2, -1
Let i be (-2)/(-21)*((-119)/(-3))/17. Let f(v) be the second derivative of -i*v**3 + 1/18*v**4 + 2*v - 1/180*v**5 + 4/9*v**2 + 0. Suppose f(z) = 0. What is z?
2
Let o(s) be the first der