 = -x - 0*i - 5*i. Let b(p) be the third derivative of 1/30*p**x + 1/12*p**4 - 2*p**2 + 0*p**3 + 0 + 0*p. Find s such that b(s) = 0.
-1, 0
Let g be 4/18 - (-8)/18. Factor 2*m**4 + 0*m + 2/3*m**2 + 0 - g*m**5 - 2*m**3.
-2*m**2*(m - 1)**3/3
Let i(w) be the first derivative of -w**7/105 - w**6/30 - w**5/30 - w**2/2 + 3. Let f(o) be the second derivative of i(o). Factor f(d).
-2*d**2*(d + 1)**2
Let j be 14 - (1 + -1) - -1. Let l be (2/j)/((-18)/(-30)). Determine g so that -4/9 + 2/9*g + l*g**2 = 0.
-2, 1
Let d be 0 + -69 + 2 + 1. Let j be -2*(d/21 - -2). Suppose 2/7*u**2 + 0 + 10/7*u**4 - 4/7*u + j*u**3 = 0. What is u?
-1, 0, 2/5
Let o(i) be the third derivative of i**7/945 - 7*i**6/540 + 7*i**5/135 - 2*i**4/27 + i**2 - 1. Suppose o(x) = 0. Calculate x.
0, 1, 2, 4
Let v = 8 + -8. Let y = v - -4. Find a such that a - 3/2*a**2 - 1/4 + a**3 - 1/4*a**y = 0.
1
Let v(p) be the first derivative of 0*p**2 + 1 - 1/2*p + 1/6*p**3. Factor v(u).
(u - 1)*(u + 1)/2
Let r(k) be the second derivative of -k**7/210 + k**6/90 + k**5/15 - 4*k**3/3 - 5*k. Let z(o) be the second derivative of r(o). Factor z(n).
-4*n*(n - 2)*(n + 1)
Let a = 131 - 4451/34. Let x = a - -19/170. Factor 0*f**2 + 3/5*f - x*f**3 - 2/5.
-(f - 1)**2*(f + 2)/5
Suppose 6 = 367*f - 364*f. Factor 4/3*a**f + 0 + 0*a - 10/3*a**3 + 2*a**4.
2*a**2*(a - 1)*(3*a - 2)/3
Let m(o) = o**3 - 4*o**2 + 3*o + 4. Let g be m(3). Solve 0*f**g + 6*f**2 + f**4 - 4*f**4 - 3*f**3 = 0.
-2, 0, 1
Suppose 0 = -b + 5*n - n + 11, -15 = -3*b + 3*n. Suppose -5*q + 13 + 5 = 2*v, -4*v + 18 = q. Determine u so that -v*u + 5*u - 3*u**2 + 1 - b*u = 0.
-1, 1/3
Suppose 0 = -4*a + 3*a + 6. Let x(m) be the third derivative of -1/12*m**4 + 0 + 0*m**3 + 0*m - 3*m**2 - 1/15*m**5 - 1/60*m**a. Find i such that x(i) = 0.
-1, 0
Let o(j) be the third derivative of j**5/690 + j**4/69 + 4*j**3/69 + 35*j**2. Determine h so that o(h) = 0.
-2
Let x = 8 + 2. Factor -x*d + 0 - 6*d + 14*d - d**2 - 1.
-(d + 1)**2
Suppose -2*n - 2*x - 10 = 2*n, -4*n - x - 15 = 0. Let c be (70/28)/(n/(-3)). Suppose 1/4 + 5/4*h**2 + c*h = 0. What is h?
-1, -1/5
Let v(g) be the second derivative of -g**6/135 + g**5/45 - 2*g**3/27 + g**2/9 + 2*g. Solve v(t) = 0 for t.
-1, 1
Let l(j) be the first derivative of 4 + 1/4*j**4 - 1/2*j**2 - 1/3*j**3 + j. Solve l(a) = 0.
-1, 1
Suppose 4*f**2 + 0*f**2 - 5*f**2 = 0. Calculate f.
0
Let j = 5 - 9. Let b be (-3)/((-1)/(j/(-42))). Find k, given that -2/7*k**2 + 0 + b*k = 0.
0, 1
Let w = 77/166 - -3/83. Factor 0*r**2 - r**4 + 1/2*r**3 + w*r**5 + 0*r + 0.
r**3*(r - 1)**2/2
Let c be (8/50)/((-22)/(-5) + -4). Factor -c*p**2 - 2/5*p + 4/5.
-2*(p - 1)*(p + 2)/5
Let d(t) = t**5 - t**4 + t**3 - t + 1. Let g(k) = 8*k**3 - 4*k**2 - 4*k + 4. Let h(q) = -4*d(q) + g(q). What is l in h(l) = 0?
-1, 0, 1
Let u be -10*4/96 - (-90)/120. Factor u + 1/2*o**2 - 1/6*o**4 - 5/6*o + 1/6*o**3.
-(o - 1)**3*(o + 2)/6
Let z(t) be the third derivative of -t**6/660 - t**5/165 + t**4/33 + 8*t**3/33 - 2*t**2 - 5. Factor z(x).
-2*(x - 2)*(x + 2)**2/11
Let r(a) be the third derivative of -a**7/210 - a**6/10 - 23*a**5/30 - 5*a**4/2 - 25*a**3/6 - 15*a**2. Factor r(o).
-(o + 1)**2*(o + 5)**2
Let y(v) be the second derivative of -v**6/25 + 9*v**5/100 + 3*v**4/20 - v**3/5 - 13*v. Let y(r) = 0. What is r?
-1, 0, 1/2, 2
Let z be 0*(-2)/6 - -4. Factor 8*d - 16*d**3 - 12*d**z - 9*d**2 + 13*d**2 + 0*d**4.
-4*d*(d + 1)**2*(3*d - 2)
Let y(l) be the second derivative of -l**9/1890 - l**8/840 - l**7/1260 + l**4/4 + l. Let s(d) be the third derivative of y(d). Let s(f) = 0. Calculate f.
-1/2, 0
Let n(h) be the second derivative of h**7/21 + 2*h**6/15 - h**5/10 - h**4/3 + 5*h. What is y in n(y) = 0?
-2, -1, 0, 1
Let q = 9 + -9. Solve -2*a**2 + 2*a**2 + q*a**3 - 3*a**3 = 0.
0
Let s(j) = j**3 - 13*j**2 + 12*j. Let o be s(12). Suppose 2/9*d - 4/9*d**2 + 2/9*d**3 + o = 0. What is d?
0, 1
Let w(g) be the third derivative of -g**6/480 + g**4/96 + 7*g**2. Suppose w(s) = 0. What is s?
-1, 0, 1
Let b(g) = -g**3. Let k(q) = -q**5 - 9*q**4 - q**2 + 10*q**4 + 8*q**3 + 1 - 1. Let y(u) = -14*b(u) - 2*k(u). Let y(l) = 0. Calculate l.
-1, 0, 1
Find i, given that 10/3*i**2 + 14*i + 98/9 + 2/9*i**3 = 0.
-7, -1
Suppose -3*w**2 + 0 + 3*w**3 - 6*w - 1 + 1 = 0. What is w?
-1, 0, 2
Let i(f) = -4*f**2 + 4*f + 2. Let x(w) be the second derivative of 3*w**4/4 - 3*w**3/2 - 3*w**2/2 - 2*w. Let y(a) = 5*i(a) + 2*x(a). Factor y(m).
-2*(m - 2)*(m + 1)
Let x be (0 + 1)/(1/6). Let c be (-4)/x*(-2)/4. Let 0 + a**3 + 0*a + a**4 + c*a**2 + 1/3*a**5 = 0. Calculate a.
-1, 0
Let m = -1436/595 - -42/17. Let g(s) be the first derivative of -m*s**5 + 1/21*s**6 + 0*s**4 + 0*s**3 + 0*s**2 + 1 + 0*s. Determine h so that g(h) = 0.
0, 1
Let y(z) = -z**3 + 8*z**2 + 8*z + 11. Let q be y(9). Let f = 3 - 1. Factor -q*n + 2/3*n**f - 2/3 + 2*n**3.
2*(n - 1)*(n + 1)*(3*n + 1)/3
Let u(l) = l**2. Let g(y) = 2*y**2 - 3*y**2 + 5*y**2. Let w(j) = -4*j**2 - 31*j + 5. Let f be w(-8). Let r(x) = f*g(x) + 10*u(x). Find o, given that r(o) = 0.
0
Solve 4/7*y**2 + 0 - 1/7*y**3 - 4/7*y = 0.
0, 2
Let s(a) be the second derivative of -a**4/30 + a**2/5 - 5*a. Factor s(k).
-2*(k - 1)*(k + 1)/5
Let l(q) be the third derivative of 0 - 1/60*q**6 + 1/12*q**4 - 5*q**2 + 0*q + 0*q**3 + 0*q**5. Factor l(m).
-2*m*(m - 1)*(m + 1)
Let l(k) be the second derivative of -2/3*k**4 + 5/21*k**7 + 5/3*k**3 + 0 + k + 2*k**2 + 2/15*k**6 - k**5. Suppose l(x) = 0. What is x?
-1, -2/5, 1
Factor -4*m**3 + 24*m - 11*m + 4*m**2 - 13*m.
-4*m**2*(m - 1)
Let m be (-3 - 27/(-10))*-2. Let c(b) be the first derivative of 4/5*b + m*b**2 + 2/15*b**3 + 1. Factor c(n).
2*(n + 1)*(n + 2)/5
Let f(q) = -3*q - 5. Let n be f(-2). Let t be n*(2 + (-18)/10). Factor 3/5*s**4 + t*s**3 + 2/5 - s**2 - 1/5*s.
(s - 1)*(s + 1)**2*(3*s - 2)/5
Let r(x) be the first derivative of -4*x**3 - 8*x**2 - 4*x + 10. Determine k, given that r(k) = 0.
-1, -1/3
Let s(y) be the first derivative of y**3/6 + 13*y**2/8 + 3*y/2 + 24. Factor s(d).
(d + 6)*(2*d + 1)/4
Let m(q) be the second derivative of -q**5/130 + q**4/39 - q**3/39 + q. Factor m(c).
-2*c*(c - 1)**2/13
Suppose -9 = -5*b + 2*b. Determine q so that 24*q + 4*q**2 + 0 - 48 - 4*q**2 - b*q**2 = 0.
4
Let b(c) be the second derivative of -3*c**5/40 - c**4/2 - c**3/4 + 9*c**2/2 - 17*c. Suppose b(i) = 0. What is i?
-3, -2, 1
Let f(q) be the third derivative of -q**7/210 + 17*q**6/600 - q**5/50 + 17*q**2. Factor f(w).
-w**2*(w - 3)*(5*w - 2)/5
Suppose 2*m + 2 = -2. Let d be (15/(-40))/(3/m). Let 3/4*a - d*a**2 - 1/2 = 0. What is a?
1, 2
Let r = 11/35 + 2/7. Suppose 0*s + 1/5*s**3 - r*s**4 + 0 + 2/5*s**2 = 0. What is s?
-2/3, 0, 1
Let m = 5 - -1. Factor m*t + t**2 - 3*t - 2*t.
t*(t + 1)
Let p = -12 - -21. What is m in 3*m - 3*m**2 - 3*m**2 + p*m**2 = 0?
-1, 0
Factor 5*q - 4*q + q + q**3 - q**2 - 2*q**3.
-q*(q - 1)*(q + 2)
Factor 1/4*b**3 + 0 + 1/4*b + 1/2*b**2.
b*(b + 1)**2/4
Let i(k) be the first derivative of 3/4*k**4 + 0*k + 2 + 0*k**5 - 1/2*k**6 + 0*k**2 + 0*k**3. Find s such that i(s) = 0.
-1, 0, 1
Let w(f) = -f**4 - f**3 - f**2. Let a(r) = -3*r**4 + 20*r**3 + 40*r**2 + 16*r - 16. Let n(m) = 5*a(m) - 40*w(m). Factor n(t).
5*(t + 2)**3*(5*t - 2)
Factor 231 + 59*c**3 + 350*c**2 - 191 + 260*c - 304*c**3.
-5*(c - 2)*(7*c + 2)**2
Suppose 16 = 5*t + 1. Let w(p) be the first derivative of p - p**2 + 0*p**t + 2 + 1/2*p**4 - 1/5*p**5. Factor w(d).
-(d - 1)**3*(d + 1)
Let y(t) = -t**3 - 8*t**2 + 4. Let h be y(-8). Let 6*j**2 - 4*j**3 + h*j**2 - 13*j**2 - j - j**4 + 5*j + 4 = 0. What is j?
-2, -1, 1
Let q be (4/(-10))/(1/(-5)). Determine m, given that -m + 7*m + 7 + q*m**2 - 3 = 0.
-2, -1
Let x(f) be the third derivative of -f**8/13440 + f**7/10080 + f**6/2880 + 5*f**4/24 - 4*f**2. Let s(g) be the second derivative of x(g). Factor s(z).
-z*(z - 1)*(2*z + 1)/4
Let x(i) = -2*i**4 + 7*i**3 - 3*i**2 - 2*i. Let d(j) = 3*j**4 - 11*j**3 + 5*j**2 + 3*j. Let w(c) = -5*d(c) - 8*x(c). Factor w(n).
n*(n - 1)**2*(n + 1)
Let j(s) be the first derivative of 3*s**4/8 + 5*s**3/2 + 3*s**2 + 4. Let j(y) = 0. Calculate y.
-4, -1, 0
Find v, given that -8/7 - 32/7*v**4 + 144/7*v**3 + 72/7*v - 194/7*v**2 = 0.
1/4, 2
Suppose 0*y - 5*y = -95. Let u = y - 16. Factor -6/7*b**u + 2/7 - 2/7*b - 10/7*b**2.
-2*(b + 1)**2*(3*b - 1)/7
Let a(v) = -3*v**4 - 3*v**3 + 13*v**2 + 15*v + 10. Let n(s) = -6*s*