 - 3/4*k**4. Let z(g) = 0. Calculate g.
-1, 0, 2
Determine l so that 2/3*l - 1/3 - 1/3*l**2 = 0.
1
Let s(j) be the third derivative of 9*j**7/595 + 13*j**6/170 + 43*j**5/510 - j**4/17 - 4*j**3/51 + 7*j**2 + 3*j. Find m, given that s(m) = 0.
-2, -1, -2/9, 1/3
Let v be (-1 + -1)*6/(-4). Let r be 1/3 + 8/v. Determine c so that -4/3*c - 49/3*c**r + 0 + 28/3*c**2 = 0.
0, 2/7
Let v(k) be the first derivative of 1/4*k**2 + 0*k - 1/8*k**4 - 1/6*k**3 + 1/10*k**5 + 1. Solve v(j) = 0 for j.
-1, 0, 1
Let q = 35 - 23. Suppose 4*w - 4 = 4. Suppose -2*r + 7 + q*r**2 - w*r**3 + 9 - 22*r = 0. Calculate r.
2
Let y(m) be the second derivative of -4/15*m**3 - 4*m + 0 + 4/5*m**2 + 1/30*m**4. Suppose y(c) = 0. What is c?
2
Determine n, given that 11*n**2 + 4*n**5 + 12*n**4 + 16 + 2*n**2 - 4*n**3 - 41*n**2 = 0.
-2, -1, 1
Let c(g) be the first derivative of -g**6/10 - 3*g**5/20 + g**4/4 + g**3/2 + g - 2. Let h(t) be the first derivative of c(t). Factor h(f).
-3*f*(f - 1)*(f + 1)**2
Let v be 4 - 4/(-6 + 2). Let d(k) be the third derivative of 0*k**4 - 3*k**2 + 1/735*k**7 + 0 + 0*k + 0*k**3 + 0*k**v + 1/420*k**6. Factor d(l).
2*l**3*(l + 1)/7
Let f = -17 - -24. Let c = -5 + f. Let b**2 + b + b + b**c = 0. What is b?
-1, 0
Let b(o) be the second derivative of -o**7/1155 + o**5/165 - o**3/33 + 5*o**2/2 + 5*o. Let y(h) be the first derivative of b(h). Solve y(v) = 0 for v.
-1, 1
Let o(w) be the third derivative of w**2 + 0 + 1/30*w**5 + 0*w - 1/6*w**4 + 0*w**3. Let o(x) = 0. Calculate x.
0, 2
Let b be (-15)/18*8/(-20). Determine n, given that 0 + 0*n + b*n**2 = 0.
0
Let i = 29 - 15. Let m(d) = d**2 - 6*d - 7. Let q be m(8). Solve -30*a**2 - i - 13 - 126*a + q*a**2 - 126*a**2 = 0.
-3/7
Let o be (12/(-8))/(1/(-2)). Let -5*n**3 + 5*n**o - n**4 + n**5 = 0. Calculate n.
0, 1
Suppose -v = 3*c - 6*v + 6, -4*c - 3*v + 21 = 0. Let l(z) be the second derivative of -2*z**c - 4*z - 6*z**2 + 0 - 1/4*z**4. Factor l(n).
-3*(n + 2)**2
Let t(m) be the first derivative of -4/27*m**3 + 1/9*m**2 + 1/18*m**4 + 0*m + 6. Determine f, given that t(f) = 0.
0, 1
Let h(k) = -k**3 - 11*k**2 - 9*k + 13. Let m be h(-10). Suppose -5*i - 2*o = -12, m*i - 4*o - 2 = -0*i. Find c such that 0 - 1/2*c**3 - c**i + 0*c = 0.
-2, 0
Let v(u) be the second derivative of 0 + 0*u**3 + u - u**2 - 1/40*u**5 + 1/8*u**4. Factor v(h).
-(h - 2)**2*(h + 1)/2
Let r = 205 - 205. Suppose 3*o - 10 = -2*o. Factor -10/9*f**4 + r*f + 8/9*f**3 - 2/9*f**o + 0 + 4/9*f**5.
2*f**2*(f - 1)**2*(2*f - 1)/9
Let r be ((-6)/8)/(60/(-320)). Let p(b) be the third derivative of 0*b**3 + 0*b - 1/60*b**5 - 1/120*b**6 - 3*b**2 + 0 + 0*b**r. Factor p(v).
-v**2*(v + 1)
Factor 10*u + 2 - 2*u**2 + 12*u**2 - 2*u**2.
2*(u + 1)*(4*u + 1)
Let j = -611 - -36661/60. Let x(l) be the second derivative of -1/40*l**5 + 2*l + 1/84*l**7 + 0*l**3 + 0*l**2 + 0 - 1/24*l**4 + j*l**6. Factor x(g).
g**2*(g - 1)*(g + 1)**2/2
Let v(l) be the second derivative of l**7/21 - l**5/5 + l**3/3 + 41*l. Let v(x) = 0. What is x?
-1, 0, 1
Let d = 595/18 - 33. Let c(a) be the second derivative of -1/60*a**5 - 1/6*a**2 + d*a**3 + a + 1/36*a**4 + 0. Find t, given that c(t) = 0.
-1, 1
Factor 0 - 4/17*b + 2/17*b**2.
2*b*(b - 2)/17
Let x(g) be the first derivative of -g**6/14 - 12*g**5/35 - 9*g**4/14 - 4*g**3/7 - 3*g**2/14 + 5. Factor x(r).
-3*r*(r + 1)**4/7
Let l = -66 + 70. Let w(g) be the second derivative of -1/5*g**5 + g**2 + 1/21*g**7 + 1/15*g**6 + 0 - g - 1/3*g**l + 1/3*g**3. Factor w(a).
2*(a - 1)**2*(a + 1)**3
Factor 81/2*w**2 - 2 + 0*w.
(9*w - 2)*(9*w + 2)/2
Let n(o) be the first derivative of -o**4/16 + o**3/4 - o**2/4 - 22. Factor n(w).
-w*(w - 2)*(w - 1)/4
Let l(t) be the third derivative of t**5/12 + 5*t**4/4 + 25*t**3/6 + 13*t**2. Factor l(m).
5*(m + 1)*(m + 5)
Let s(j) be the second derivative of j**5/4 - 5*j**4/3 + 25*j**3/6 - 5*j**2 - 14*j. Factor s(h).
5*(h - 2)*(h - 1)**2
Let t(b) be the third derivative of -1/6*b**4 + 0*b + 4*b**2 + 0 - 1/30*b**5 + b**3. Factor t(j).
-2*(j - 1)*(j + 3)
Let z(d) = -2*d + 20. Let l be z(9). Let x(h) be the second derivative of 0*h**l - 1/15*h**3 + 1/30*h**4 + 0 - 3*h. Suppose x(y) = 0. Calculate y.
0, 1
Let z = 17 - 8. Let b be (-12)/(-4) - 25/z. Find t such that -b - 2/9*t**2 + 4/9*t = 0.
1
Let h(m) be the second derivative of m**6/90 + 22*m. Factor h(c).
c**4/3
Let y = 183 + -97. Let n = y - 256/3. Solve 0 + n*s**3 - 2/3*s + 2/3*s**4 - 2/3*s**2 = 0 for s.
-1, 0, 1
Let y(f) be the second derivative of f**5/90 - f**4/54 - 5*f**3/27 - f**2/3 - 19*f. Find c, given that y(c) = 0.
-1, 3
Let p = -13/7 + 33/14. Solve -p*n**5 - 3/2*n**3 - 3/2*n**4 - 1/2*n**2 + 0*n + 0 = 0 for n.
-1, 0
Let a be (0 + -2)/(-4 + 77). Let q = 156/365 + a. Factor q*g**2 + 6/5*g + 4/5.
2*(g + 1)*(g + 2)/5
Let t(j) be the second derivative of -1/42*j**4 + 0 - 1/7*j**2 + 2/21*j**3 - 9*j. Find o such that t(o) = 0.
1
Let v = -31 + 31. Let w(y) be the third derivative of 3*y**2 + v + 1/24*y**4 + 0*y**3 + 0*y - 1/60*y**5. What is u in w(u) = 0?
0, 1
Let q = 28 + -26. Let x(f) be the third derivative of 1/90*f**5 + q*f**2 + 0*f**4 + 0 + 0*f + 0*f**3. Suppose x(o) = 0. What is o?
0
Suppose -4*k - 9 = -k. Let d = -1 - k. Determine f, given that 0*f**2 - 4*f**d + 2*f + 2 + 0 = 0.
-1/2, 1
Factor -3*q**2 + 2*q**3 - 1/2*q**4 + 2*q - 1/2.
-(q - 1)**4/2
Let x be (-156010)/(-180) + (-2)/(-12). Let h = x + -866. Factor -8/9 - h*t - 2/9*t**2.
-2*(t + 2)**2/9
Let k(p) be the third derivative of -p**8/336 - 2*p**7/105 + p**6/120 + p**5/15 - 11*p**2. Let k(i) = 0. What is i?
-4, -1, 0, 1
Let f(i) be the first derivative of -i**4/4 + 2*i**3/3 + i**2/2 - 2*i + 5. Solve f(q) = 0.
-1, 1, 2
Let s(w) = -4*w**4 - 4*w**3 + 5*w**2. Let t(m) = 8*m**4 + 8*m**3 - 9*m**2. Let g(d) = 7*s(d) + 3*t(d). Find u such that g(u) = 0.
-2, 0, 1
Let r(d) be the third derivative of -d**5/45 - d**4/6 + 8*d**3/9 + 10*d**2. Determine m so that r(m) = 0.
-4, 1
Let c = 4 + 6. Determine z so that z + 6*z**2 - 7*z - 6*z**2 + c*z**2 - 4 = 0.
-2/5, 1
Suppose 2*x - 9 = t, -4*x + 3 = 3*t - 2*t. Suppose b = -0*b + x. Factor -2/3*h - 10/9*h**b + 4/9.
-2*(h + 1)*(5*h - 2)/9
Suppose 0 = -22*s + 17*s + 10. Let o(a) be the second derivative of a - 1/12*a**4 - 1/3*a**3 + 0*a**s + 0. Factor o(l).
-l*(l + 2)
Let o(t) be the third derivative of t**6/80 + 17*t**5/120 + 7*t**4/16 - 3*t**3/4 - 7*t**2. Factor o(n).
(n + 3)**2*(3*n - 1)/2
Let y(f) be the first derivative of 3/4*f**2 + 9/16*f**4 - 1/8*f**6 + 7 + 0*f + 3/20*f**5 - 5/4*f**3. Factor y(z).
-3*z*(z - 1)**3*(z + 2)/4
Let o(z) be the first derivative of 4*z**3/3 - 4*z**2 - 12*z + 33. Factor o(u).
4*(u - 3)*(u + 1)
Let c(i) be the first derivative of -2/33*i**3 + 1 + 1/22*i**4 - 2/11*i**2 + 0*i. Factor c(w).
2*w*(w - 2)*(w + 1)/11
Let o be (0 - (1 - 0)) + 1 + 0. Factor 0*x**3 + o - 1/4*x**4 + 0*x + 1/4*x**2.
-x**2*(x - 1)*(x + 1)/4
Let k(d) be the second derivative of 3*d**7/280 + 7*d**6/240 - d**5/20 + d**4/4 - 5*d. Let v(p) be the third derivative of k(p). Let v(u) = 0. Calculate u.
-1, 2/9
Let i be 6/21 - 164/(-14). Let s be 3/(-12)*i/(-9). Factor -1/3*h**2 - s - 2/3*h.
-(h + 1)**2/3
Let t(j) be the third derivative of 5*j**8/1512 + 2*j**7/45 + 23*j**6/270 - 14*j**5/135 - 17*j**4/36 - 14*j**3/27 - 12*j**2. Let t(y) = 0. Calculate y.
-7, -1, -2/5, 1
Let i(g) = 12*g**2 - 6*g + 14. Let j(a) = -a**2 + a. Let z(h) = i(h) - 4*j(h). Let k(p) = p**2 + 1. Let m(r) = -10*k(r) + z(r). Find d, given that m(d) = 0.
2/3, 1
Let u(r) = -11*r**3 - 6*r**2 - 4*r - 2. Let c(b) = -10*b**3 - 7*b**2 - 5*b - 2. Let m(w) = 7*c(w) - 6*u(w). Solve m(v) = 0.
-2, -1, -1/4
Let t(m) = -m**3 - 4*m**2 - m - 4. Let o be t(-4). Suppose o = 3*h - 8*h + 10. Let 3*x**2 - 7*x**2 + 2*x**h + x**2 = 0. Calculate x.
0
What is x in -2/7*x**5 + 16/7*x - 24/7*x**2 + 4/7*x**3 + 0 + 6/7*x**4 = 0?
-2, 0, 1, 2
Let f(y) be the first derivative of -2*y**5/5 + 2*y**3/3 - 4. Suppose f(j) = 0. What is j?
-1, 0, 1
Let x(h) be the third derivative of -h**8/1512 + 2*h**6/135 - h**5/45 - 7*h**4/108 + 2*h**3/9 - 18*h**2. Suppose x(u) = 0. What is u?
-3, -1, 1, 2
Determine g so that -15/7*g + 15/7*g**4 + 3/7 - 30/7*g**3 - 3/7*g**5 + 30/7*g**2 = 0.
1
Let a be (-24)/(-10) + (-8)/20. Suppose l + 0*l - a = 0. Determine h so that -1/2*h**3 + 0 + h - 1/2*h**l = 0.
-2, 0, 1
Suppose -3*x - 2*a = -5*a + 9, a = 4*x + 3. Factor 3/4*b**2 +