-4, 1
Let b(n) be the third derivative of 0 - 2/3*n**3 - 2/3*n**4 + 4*n**2 + 0*n - 2/5*n**5 - 2/15*n**6 - 2/105*n**7. Determine g, given that b(g) = 0.
-1
Let w = -4502/5 - -76564/85. Suppose 6/17*k**2 - 2/17*k**5 + 4/17*k - 2/17*k**3 - w*k**4 + 0 = 0. Calculate k.
-2, -1, 0, 1
Let q(s) = 4*s - 82. Let k be q(25). Determine i, given that 133*i + i**3 + k*i**2 + 0*i**2 + 10 - 25*i + 206 = 0.
-6
Let z(a) be the first derivative of -4/5*a**5 + 0*a**3 - 13 + 0*a + 2*a**4 + 0*a**2. Factor z(t).
-4*t**3*(t - 2)
Suppose 0 = 2*u - 3*y - 18, -22*y + 1 = -u - 23*y. Let z(d) be the first derivative of -10/3*d**3 + 18*d + u - 3*d**2 - 1/2*d**4. Let z(v) = 0. What is v?
-3, 1
Let g be (1 + 13/(-12))*-2. Let j(b) be the second derivative of -5*b - 1/15*b**6 + 0*b**2 - 1/10*b**5 + 1/3*b**3 + 0 + g*b**4. Factor j(f).
-2*f*(f - 1)*(f + 1)**2
Let k(d) be the third derivative of d**8/1344 + d**7/504 - d**6/72 - 2*d**4/3 + 24*d**2. Let n(y) be the second derivative of k(y). Let n(s) = 0. What is s?
-2, 0, 1
Let r = 16126 + -16124. Factor -5/6*f - 9/2*f**r - 11/6*f**4 - 31/6*f**3 + 1/3.
-(f + 1)**3*(11*f - 2)/6
Let n(y) be the first derivative of y**6/480 - y**5/60 - 5*y**4/96 + 9*y**2/2 + 9. Let d(c) be the second derivative of n(c). Factor d(m).
m*(m - 5)*(m + 1)/4
Let t = 6 - 3. Let y**2 - 576*y - 8 - t*y**2 + 566*y = 0. Calculate y.
-4, -1
Let n = 2764 - 2762. Factor 2/17*d + 2/17*d**3 + 0 + 4/17*d**n.
2*d*(d + 1)**2/17
Let o(k) be the third derivative of 0*k - 4/105*k**5 + 1/210*k**6 + 0 + 0*k**3 - 22*k**2 + 2/21*k**4. Factor o(z).
4*z*(z - 2)**2/7
Let u(a) be the third derivative of -a**6/2160 - a**5/180 - a**4/48 + a**3 - 7*a**2. Let b(z) be the first derivative of u(z). What is f in b(f) = 0?
-3, -1
Let -1/2*w**5 - 5 + 10*w**3 - 19/2*w + w**2 + 4*w**4 = 0. Calculate w.
-1, 1, 10
Let o(d) be the third derivative of -16*d**7/35 + 17*d**6/15 - 11*d**5/15 + d**4/6 - 41*d**2. Suppose o(i) = 0. Calculate i.
0, 1/6, 1/4, 1
Let h(f) be the second derivative of 1/80*f**5 + 1/4*f**2 + 0 - 1/8*f**3 + 0*f**4 + 14*f. Factor h(i).
(i - 1)**2*(i + 2)/4
Let 738/5*a**2 + 8 - 162/5*a**3 + 352/5*a = 0. Calculate a.
-2/9, 5
Let j be -1 + -3 - (-11 + -2). Let d be 4*-1 + 39/j. Factor -i**3 + 0*i + 0 - i**4 - d*i**2 - 1/3*i**5.
-i**2*(i + 1)**3/3
Let j(g) be the third derivative of -g**8/588 - 2*g**7/49 - g**6/7 + 38*g**5/21 - 75*g**4/14 + 54*g**3/7 - 149*g**2. Let j(l) = 0. What is l?
-9, 1
Let q(k) be the first derivative of k**6/3 + 2*k**5/5 - 5*k**4/2 + 2*k**3 - 3. Factor q(d).
2*d**2*(d - 1)**2*(d + 3)
Let c(x) = -x**3 + 9*x**2 - 10*x + 18. Let o be c(8). Suppose o*k = -14 + 14. Find l, given that k*l + 2/17*l**3 + 0 - 4/17*l**2 = 0.
0, 2
Let q(i) be the second derivative of 13*i + 0 - 1/16*i**4 + 0*i**2 + 1/4*i**3 - 3/80*i**5. Determine r, given that q(r) = 0.
-2, 0, 1
Find g, given that -14/15*g**4 + 8 + 938/15*g**2 - 388/15*g**3 - 656/15*g = 0.
-30, 2/7, 1
Let u(k) be the second derivative of k**5/12 - 5*k**3/6 - 6*k**2 + 13*k. Let y(t) be the first derivative of u(t). Let y(l) = 0. What is l?
-1, 1
Let o(w) = -2*w + 12. Suppose -6*u = -11*u + 25. Let x be o(u). Solve 4*m + m**2 + x*m - 3*m + 0*m + 2 = 0 for m.
-2, -1
Let b = 44 + -28. Let u be b/10*(-5)/(-7). Factor -2/7*g - 2/7*g**5 + 0 - 8/7*g**2 - u*g**4 - 12/7*g**3.
-2*g*(g + 1)**4/7
Let f(i) = 40*i**3 - 61*i**2 + 18*i - 1. Let l(t) = -159*t**3 + 246*t**2 - 75*t + 3. Let n(y) = -15*f(y) - 4*l(y). Determine d so that n(d) = 0.
-1/12, 1
Let 12 + 3*p - 1/3*p**2 = 0. Calculate p.
-3, 12
Suppose 4*a + m - 75 = 0, 8*a - 5*m = 3*a + 125. Let h = 3 + 1. Suppose -4*k**5 + a*k**4 + 0*k**2 - 15 - 6 - 28*k**3 - h*k**2 + 32*k + 5 = 0. Calculate k.
-1, 1, 2
Let c(q) be the first derivative of -3*q**4/16 - 3*q**3/4 + 3*q - 26. Factor c(m).
-3*(m - 1)*(m + 2)**2/4
Let u = -39 + 44. Suppose -u*y = -z - 13 - 12, -2*y = -10. What is g in z*g**2 - 10*g**3 + 14*g**4 - 7*g**2 + 3*g**2 = 0?
-2/7, 0, 1
What is u in 1/6*u**3 + 1/2*u**2 + 0 - 2/3*u = 0?
-4, 0, 1
Let c = -3885/13 - -299. Let m be 59/((-7139)/(-231)) - 12/(-11). Factor 8/13*r - 4/13*r**m + 6/13*r**2 - 8/13 - c*r**4.
-2*(r - 1)**2*(r + 2)**2/13
Let v(f) = f**3 - 6*f**2 - 7*f. Let l be v(7). Let c(x) be the second derivative of 6*x + 0*x**2 + l - 1/75*x**6 + 0*x**3 + 1/25*x**5 - 1/30*x**4. Factor c(n).
-2*n**2*(n - 1)**2/5
Let o be 12*(2 + 25/(-20)). Let -36 - o + 27*m + 5*m**2 + 13*m = 0. What is m?
-9, 1
Let i be (-10*(-1)/12)/(140/84). Let x(c) be the second derivative of -i*c**2 + 1/12*c**3 + 1/12*c**4 + 0 + c - 1/40*c**5. Factor x(z).
-(z - 2)*(z - 1)*(z + 1)/2
Let n be (-2)/(2 + -2 - 2). Let t = 7 - n. Factor -2 - 10*w**2 - 6*w - t*w**3 - 6*w**2 + 0 + 6.
-2*(w + 1)*(w + 2)*(3*w - 1)
Let k(a) = -2 + 44*a**2 - 2*a + 3 - 43*a**2. Let z be k(3). Solve -x**2 + 5*x**2 + 2*x**4 - 6*x**z = 0.
-1, 0, 1
Let i(l) be the first derivative of l**4 - 32*l**3/3 + 40*l**2 - 64*l + 262. Determine w so that i(w) = 0.
2, 4
Factor -21/4*x - 15/4*x**3 - 27/4*x**2 - 3/2 - 3/4*x**4.
-3*(x + 1)**3*(x + 2)/4
Factor -3/8*d**4 + 0*d**2 + 6*d - 3/2*d**3 + 6.
-3*(d - 2)*(d + 2)**3/8
Let y(c) be the second derivative of 0*c**2 + 28*c + 2/21*c**3 + 0 + 1/42*c**4. Determine w so that y(w) = 0.
-2, 0
Let j = -23/21 + 113/84. Let l(d) be the second derivative of d**3 - j*d**4 - 2*d - 3/20*d**5 + 0*d**2 + 0. Solve l(q) = 0.
-2, 0, 1
Factor -4*x**4 - 3*x**3 + 16*x**5 - 15*x**5 + 6*x**4.
x**3*(x - 1)*(x + 3)
Let y = 97 + -95. Suppose 0 = 4*u + 2*k + y, -u + 0*k + 3*k + 3 = 0. Factor 2/9*n**3 + u + 0*n - 2/9*n**4 + 0*n**2.
-2*n**3*(n - 1)/9
Let o(u) = -u + 8. Let p be o(-2). Determine d so that 131 - 131 - p*d + 0*d**2 - 5*d**2 = 0.
-2, 0
Let c(k) = -k**3 + 4*k**2 + 7*k - 10. Let d(n) = -2*n**3 + 8*n**2 + 16*n - 21. Let q(i) = 9*c(i) - 4*d(i). Let q(p) = 0. Calculate p.
-1, 2, 3
Let b(z) = 5*z**3 + 2*z**2 + 5*z - 5. Let c be b(1). Let m be ((-100)/(-175))/(26/c). Factor 0*n + 2/13*n**2 - m*n**3 + 0.
-2*n**2*(n - 1)/13
Let y = -43/28 - -25/14. What is p in 1/2*p**2 - y - 1/4*p**4 + 0*p + 0*p**3 = 0?
-1, 1
Let n be 6 + (3/(-24) - 5285/900). Let x(i) be the third derivative of 1/36*i**4 - 1/9*i**3 - n*i**5 + 5*i**2 + 0*i + 0. Factor x(h).
-(h - 2)**2/6
Let k(o) = -2*o**4 + 6*o**2 + 2. Let b(n) = 4*n**4 + 2*n**3 - 12*n**2 - 5. Let r(l) = 2*b(l) + 5*k(l). Determine z, given that r(z) = 0.
-1, 0, 3
Let f(t) = t**3 + 5*t**2 - 3*t - 7. Let l be f(-3). Factor -30*n + 5*n**2 - 6 - 14 + l.
5*n*(n - 6)
Let f = -26 - 13. Let q = -39 - f. Factor -6*k**4 + 7*k**4 + q*k**4 + 2*k**4 + 6*k**3.
3*k**3*(k + 2)
Let y(u) be the third derivative of u**7/350 + u**6/25 + 21*u**5/100 + 11*u**4/20 + 4*u**3/5 - 22*u**2 - 3. What is v in y(v) = 0?
-4, -2, -1
Suppose 13*h + 46 = -37*h + 146. Let 1/4*q**3 + 0 + 0*q - 1/2*q**h = 0. What is q?
0, 2
Let n = -6936 - -13875/2. Factor 3/2*j**2 - 1/2*j + 1/2*j**4 - n*j**3 + 0.
j*(j - 1)**3/2
Let j be (32/80)/((-1)/(-25)). Let -7*q - 5*q - j - 3*q**2 - q**2 + 2 = 0. Calculate q.
-2, -1
Let k(d) = 41*d**2 + d. Let a be k(1). Suppose 21*c - a = -0*c. Factor -4/7*z**4 - 12/7*z**3 + 0 + 12/7*z + 4/7*z**c.
-4*z*(z - 1)*(z + 1)*(z + 3)/7
Find c, given that 2/13*c**3 + 0*c + 20/13*c**2 + 0 = 0.
-10, 0
Suppose 0 = 27*b - 4*b + 3450. Let r = 901/6 + b. Factor 1/6 + r*g**3 - 1/6*g**2 - 1/6*g.
(g - 1)**2*(g + 1)/6
Suppose 8*i = 3*i - 2*d + 9, 0 = 5*i - d - 18. Let o(m) be the first derivative of 3/4*m**4 - 6*m + 0*m**i + 6 - 9/2*m**2. Solve o(j) = 0 for j.
-1, 2
Suppose -s + 3 + 0 = 0. Suppose 3*u = -3*a + 12, s*a + 4*u + 0*u = 12. Factor -3*r + r**5 - 1 + 2*r**2 - 4*r**2 + 3*r**a - r**3 + 4*r**3 - r**3.
(r - 1)*(r + 1)**4
Let o(r) be the second derivative of -1/4*r**5 + 1/18*r**3 + 0*r**2 - 2*r + 1/72*r**4 - 1/180*r**6 + 0 + 1/9*r**7. What is q in o(q) = 0?
-1, -1/4, 0, 2/7, 1
Let o(s) be the second derivative of -3*s**5/20 + 4*s**4 - 15*s**3/2 - 3*s - 13. Factor o(j).
-3*j*(j - 15)*(j - 1)
Suppose 2*f + 4 - 59 = -5*y, 3*y = f. Suppose -10*h = -5*h - f. Solve 9*m**2 + 3*m**3 - 5*m + 2 + 0 - 5*m**2 - 4*m**h = 0 for m.
1, 2
Find s such that 75*s**3 - 11 + 21*s**3 - 17 - 192*s**2 + 8 - 7 + 126*s = 0.
1/2, 3/4
Let o(g) be the second derivative of -g**5/10 + 35*g**4/12 - 77*g**3/6 + 15*g**2 + 21*g + 5. Let o(m) = 0. What is m?
1/2, 2, 15
Let q be (-5 - (-1436)/288)/(2/(-6)). Let u(z) be the third derivative 