at is s?
-1, -2/7
Let h(v) = v**2 - 3*v + 1. Let m be h(4). Let z be 9 - (5 - 3) - 4. Let k**z - 2*k - 5*k + m*k - 2 - k = 0. What is k?
-1, 2
Let h(l) be the second derivative of l**4/36 - 26*l**3/9 + 338*l**2/3 - 39*l. Factor h(x).
(x - 26)**2/3
Suppose i - 3*j + 5 = 0, -i + 0*j = j - 11. Let w(n) = 4*n**3 + 16*n**2 - 13*n. Let a(b) = -3*b**3 - 11*b**2 + 9*b. Let f(g) = i*a(g) + 5*w(g). Solve f(r) = 0.
0, 1, 2
Suppose 13*r = 1 + 25. Let c(u) be the first derivative of 0*u**r - 9 - u + 1/12*u**3. Suppose c(j) = 0. Calculate j.
-2, 2
Let -19*t - 18*t - 26*t - 210 - 84 + 183*t**2 + 3*t**4 - 45*t**3 = 0. What is t?
-1, 2, 7
Let u(q) = 3*q**3 - 3*q**2. Let c(k) = 9*k**3 - 8*k**2. Suppose 2*s = -12 + 46. Let l(n) = s*u(n) - 6*c(n). Let l(g) = 0. What is g?
-1, 0
Let s(p) be the third derivative of -p**5/150 + 23*p**4/15 - 91*p**3/15 - 451*p**2. Factor s(o).
-2*(o - 91)*(o - 1)/5
Suppose 624*d = 638*d - 28. Factor 0 + d*q**4 + 2/3*q**2 - 10/3*q**3 + 2/3*q.
2*q*(q - 1)**2*(3*q + 1)/3
Solve 0*v + 0 + 27/2*v**4 + 81*v**3 + 3/4*v**5 + 162*v**2 = 0.
-6, 0
Let b(j) be the first derivative of j**3/3 - j**2 + j + 23. Let u(x) = 3*x**2 - 13*x - 2. Let k(a) = -4*b(a) + u(a). Factor k(s).
-(s + 2)*(s + 3)
Let f(o) = 9*o**2 + 12*o + 12. Let r be ((-243)/18)/3 - (-2)/(-4). Let a(d) = -16*d**2 - 24*d - 23. Let x(p) = r*f(p) - 3*a(p). Determine q so that x(q) = 0.
-3, -1
Let j = -712 + 507. Let s = j + 208. Factor 2/9*v**s - 2/9*v + 0*v**2 + 0.
2*v*(v - 1)*(v + 1)/9
Let v(g) = g**2 + 15*g + 16. Let b = 18 + -32. Let z be v(b). Let 10*t**z - t + 4*t**4 - 2 - 12*t**2 - 9*t**3 + 10*t = 0. Calculate t.
-1, 1/4, 1, 2
Let t(h) be the second derivative of 0 + 1/2*h**4 - 3/5*h**5 + 3*h**2 + 5/2*h**3 - 16*h - 2/5*h**6 - 1/14*h**7. Suppose t(d) = 0. What is d?
-2, -1, 1
Let l = -54406/3 - -18136. Suppose l*j**3 + 0*j**4 + 4/9*j**2 + 0*j - 2/9*j**5 + 0 = 0. Calculate j.
-1, 0, 2
Let s(y) be the second derivative of y**5/60 - 5*y**4/12 + 25*y**3/6 + y**2/2 + 4*y. Let l(u) be the first derivative of s(u). Factor l(q).
(q - 5)**2
Let q = -496903869388/3129 + 158805968. Let m = q - 2/447. Determine i so that -8/7*i**5 + 10/7*i**4 - m*i**2 + 2/7*i + 0 + 6/7*i**3 = 0.
-1, 0, 1/4, 1
Let t(h) = 440*h**3 - 65*h**2 - 440*h + 155. Let s(x) = 20*x**3 - 3*x**2 - 20*x + 7. Let q(b) = 45*s(b) - 2*t(b). Determine j, given that q(j) = 0.
-1, 1/4, 1
Let x = 8 - 85. Let f = x + 157/2. Factor 3*n**2 - 3 + f*n - 3/2*n**3.
-3*(n - 2)*(n - 1)*(n + 1)/2
Suppose 845 + 13*h**3 + 1886*h - 276*h + 1110*h**2 + 13*h**4 + 210*h - 8*h**4 + 127*h**3 = 0. Calculate h.
-13, -1
Suppose 0 = -5*g - 3*f + 40, 0 = -5*g - 5*f + 32 - 2. Suppose 5*s + 1 = g. Let 16 + 4*i**s - 16 - 8*i = 0. What is i?
0, 2
Suppose 13 = 2*c - a - 4, 5 = -a. Let l be (1 - -1) + -5 + 5. Factor c*f - 4*f - f - f**l - 2*f.
-f*(f + 1)
Let t(z) be the third derivative of z**6/360 + z**5/20 - 5*z**4/36 - 11*z**2 + 3*z. Find y, given that t(y) = 0.
-10, 0, 1
Factor 0*v + 111/8*v**2 + 0 - 27/2*v**3 - 3/8*v**4.
-3*v**2*(v - 1)*(v + 37)/8
Suppose 0 = -f - f + 8. Suppose -f*q = -2*r - q + 1, -2*q = r - 4. Factor -16/3*a - 32/3*a**r - 2/3.
-2*(4*a + 1)**2/3
Factor -85*f**4 + 44*f**4 + 45*f**4 + 4*f**3 - 8*f**2.
4*f**2*(f - 1)*(f + 2)
Let m(u) be the third derivative of -18*u**2 + 0 - 1/84*u**4 + 0*u**3 + 0*u + 1/105*u**5. Find f such that m(f) = 0.
0, 1/2
Let u(z) = 6*z**4 + 2*z**3 + 4*z**2 + 4*z - 2. Let j(w) = -14*w**4 - 2*w**3 - 7*w**2 - 9*w + 5. Let i(h) = 2*j(h) + 5*u(h). Determine v so that i(v) = 0.
-1, 0
Let v(f) = f**2 - 5*f + 2. Let o be v(10). Let q = o - 52. Factor q*b + 0 - 3/2*b**5 + 3/2*b**4 + 3/2*b**3 - 3/2*b**2.
-3*b**2*(b - 1)**2*(b + 1)/2
Let p be (45/(-21))/(90/(-120)) - (-4)/28. Suppose 0 + 2/9*u + 2/9*u**2 - 2/9*u**p - 2/9*u**4 = 0. What is u?
-1, 0, 1
Let d(k) = -k**3 - 2*k**2 - 3*k + 3. Let j(w) = -w**3 - 2*w**2 - 2*w + 2. Let b = 59 + -57. Let i(z) = b*d(z) - 3*j(z). Solve i(t) = 0 for t.
-2, 0
What is n in 12/7*n**2 - 2/7*n**3 + 12/7 - 22/7*n = 0?
1, 2, 3
Let p(u) be the first derivative of -u**7/840 - u**6/120 - u**5/60 - 16*u**3/3 + 2. Let t(s) be the third derivative of p(s). Factor t(f).
-f*(f + 1)*(f + 2)
Suppose -l + 6 = 4*a, -13*l + 6 = 2*a - 14*l. Factor 3/5*b**3 + 1/5*b**a - 3/5*b + 1/5*b**4 - 2/5.
(b - 1)*(b + 1)**2*(b + 2)/5
Let b(t) be the first derivative of -t**6/60 + t**5/40 - 7*t - 15. Let l(v) be the first derivative of b(v). Factor l(n).
-n**3*(n - 1)/2
Factor 2/9*r**2 + 12*r - 224/9.
2*(r - 2)*(r + 56)/9
Let 5*t**4 - 12*t**5 + 32*t + 41*t**5 - 48*t**2 - 20*t**5 + 7*t**4 - 13*t**5 + 8*t**3 = 0. What is t?
-2, 0, 1, 2
Let h = -4803 + 4805. Find i such that -1/2*i**h + 0*i + 1/4*i**4 + 0 - 1/4*i**3 = 0.
-1, 0, 2
Let t(a) be the first derivative of -a**6/6 - 6*a**5/5 + 7*a**4/4 - 152. Factor t(v).
-v**3*(v - 1)*(v + 7)
Let k(g) be the first derivative of g**7/210 + g**6/18 + 2*g**3 - 39. Let x(a) be the third derivative of k(a). Factor x(n).
4*n**2*(n + 5)
Let o(a) be the first derivative of 3*a**4 - 16*a**3/3 - 8*a**2 - 99. Solve o(w) = 0.
-2/3, 0, 2
Let v be -3 + 3/78*13*(-100)/(-14). Let -144/7 + 48/7*m - v*m**2 = 0. What is m?
6
Let z(k) be the second derivative of -8788/3*k**3 + 28561*k**2 + 0 + 1/15*k**6 + 169*k**4 - 26/5*k**5 + 26*k. Let z(o) = 0. What is o?
13
Factor 1/2*u**5 - 9/2*u**4 + 13*u**3 + 16 - 10*u**2 - 12*u.
(u - 4)*(u - 2)**3*(u + 1)/2
Let s(h) be the second derivative of 0 + 0*h**2 + 2*h + 1/90*h**5 - 1/27*h**3 + 0*h**4. Let s(c) = 0. What is c?
-1, 0, 1
Let y(t) = t**2 + 7. Let m(v) = -v**2 - 6. Let s(n) = 6*m(n) + 5*y(n). Let g(x) = -10*x**2 - 2*x - 10. Let f(c) = -2*g(c) + 22*s(c). Find b such that f(b) = 0.
1
Suppose m = 3*z - 7, z - 13*m - 5 = -14*m. Factor 0*s + 12/5*s**5 + 4*s**4 - 4/5*s**2 + 4/5*s**z + 0.
4*s**2*(s + 1)**2*(3*s - 1)/5
Let a = -139/4 + -359/4. Let o = 125 + a. Let -1/4*k**2 + o*k - 1/4 = 0. What is k?
1
Let i = -1/3568 + 8921/3568. Factor -1/2 + i*t - 9/8*t**2.
-(t - 2)*(9*t - 2)/8
Let k be (-2)/8 - 29/(-4). Let f(b) = -b**2 + 6*b + 7. Let m be f(k). Factor -a**4 - 3*a**3 + 3 + m*a**2 + 7*a**3 - a**2 - 4*a - a**2.
-(a - 3)*(a - 1)**2*(a + 1)
Suppose -4*a = 6*a + a. Let n(z) be the third derivative of a*z - 1/5*z**3 + 1/300*z**6 - 1/12*z**4 + 0 - 1/150*z**5 - z**2. Factor n(l).
2*(l - 3)*(l + 1)**2/5
Let w = -4658/15 + 1556/5. Factor -a - 1/3*a**2 - w.
-(a + 1)*(a + 2)/3
Let l(t) be the first derivative of -t**6/6 + 16*t**5/15 - t**4 - 16*t**3/9 - 511. Determine n so that l(n) = 0.
-2/3, 0, 2, 4
Let q(g) = -2*g**2 - 998*g + 1000. Let l(a) = 200*a - 200. Let v(o) = -11*l(o) - 2*q(o). Factor v(s).
4*(s - 50)*(s - 1)
Let p(j) be the first derivative of -1/140*j**5 + 4 + 0*j**3 + 5/56*j**4 - 15/2*j**2 + 0*j. Let y(a) be the second derivative of p(a). Factor y(q).
-3*q*(q - 5)/7
Let v be (980/75 + -13)/(4/10). Let d(f) be the second derivative of 1/50*f**5 + 1/5*f**3 - 9/5*f**2 + 0 + 4*f + v*f**4. Factor d(m).
2*(m - 1)*(m + 3)**2/5
Let n(k) = -7*k**4 + 9*k**3 - 2 + k + 12*k**2 + 0 - 7*k + 4*k**2. Let j(t) = -6*t**4 + 8*t**3 + 16*t**2 - 7*t - 3. Let v(i) = 4*j(i) - 6*n(i). Factor v(z).
2*z*(z - 2)*(z + 1)*(9*z - 2)
Let d(l) be the second derivative of -1/6*l**6 + 0*l**4 + 5/42*l**7 + 0 - 1/2*l**5 - 22*l + 0*l**2 + 0*l**3. Factor d(m).
5*m**3*(m - 2)*(m + 1)
Let g(m) be the second derivative of -9/40*m**6 + 8*m + 1/6*m**4 - 2*m**3 + 5/168*m**7 + 0 + 1/2*m**5 + 2*m**2. Factor g(y).
(y - 2)**3*(y + 1)*(5*y - 2)/4
Let q be 4/7 - 1226/2268. Let v = q + 1211/2754. Suppose v*g**2 + 0*g - 50/17*g**5 + 0 + 10/17*g**4 + 32/17*g**3 = 0. Calculate g.
-2/5, 0, 1
Let q = 21 + -23. Let g = q + 4. Find o, given that 2*o**3 - 2*o**3 - o + 2*o + 2*o**4 - g*o**2 - o**5 = 0.
-1, 0, 1
Let c(k) be the third derivative of k**7/210 + 17*k**6/120 + 14*k**5/15 + 13*k**4/6 - k**2 + 198*k. Factor c(u).
u*(u + 2)**2*(u + 13)
Factor 14/9*w**2 - 2/9*w**3 + 98/9*w - 686/9.
-2*(w - 7)**2*(w + 7)/9
Let k(n) = 36*n**2 - 81*n + 18. Let o(j) = -24*j**2 + 54*j - 12. Let m(b) = -5*k(b) - 7*o(b). Suppose m(x) = 0. What is x?
1/4, 2
Let x(u) be the third derivative of -31*u**2 + 1/42*u**7 - 1/15*u**5 + 0 - 1/15*u**6 + 0*u**3 + 0*u**4 + 0*u. Factor x(v).
v**2*(v - 2)*(5*v + 2)
Let t = -493 + 496. Let w(d) be the second derivative of -1/18*d**t - 2*d + 0 - 1/36*d**4 + 0*d**2. Suppose w(x) = 0. Calculate x.