 y*a - 13. What is c in -p + 2*c**2 - 2 + 2*c - 1 = 0?
-2, 1
Let t(z) be the second derivative of -1/6*z**4 + 0 + 2*z**3 - 3*z - 9*z**2. Factor t(j).
-2*(j - 3)**2
Let z(p) be the third derivative of p**6/240 - p**5/120 - p**4/48 + p**3/12 + 14*p**2. Factor z(o).
(o - 1)**2*(o + 1)/2
Let n(l) be the first derivative of l**3/3 - 2*l**2 + 6*l + 1. Let p be n(6). Factor 18*w**3 + 5*w**4 - 10*w**2 - 4 - 7*w**4 - p*w + 16*w**4.
2*(w - 1)*(w + 1)**2*(7*w + 2)
Determine b, given that -2*b**2 + 14*b + 6*b**2 - 10*b + 64 + 28*b = 0.
-4
Let n be (-4)/6 - (-1)/(-3). Let p be (n - -1*2)*3. Factor 6*x**3 - 4*x**p - 2*x**5 + 4*x**4 - 4*x**3.
-2*x**3*(x - 1)**2
Suppose 4*b + 5*v - 13 = 0, -5*v + 10 = 3*b - v. Let w(g) be the first derivative of b + 1/2*g**4 - 2*g + 5/2*g**3 + 3*g**2. Solve w(f) = 0.
-2, 1/4
Suppose -2*o + 18 = 2*s - 5*s, 5*o = -s + 28. Let v(t) = t**3 + t**2. Let n(h) = h**4 + 8*h**3 + 7*h**2. Let y(i) = o*v(i) - n(i). Determine f so that y(f) = 0.
-1, 0
Let q(o) be the third derivative of o**6/600 - o**4/40 + o**3/15 - 4*o**2. Factor q(k).
(k - 1)**2*(k + 2)/5
Solve -22/17*f**3 + 108/17 + 2/17*f**4 + 90/17*f**2 - 162/17*f = 0.
2, 3
Let q(t) be the third derivative of -7*t**7/225 - 14*t**6/75 - 13*t**5/150 + 17*t**4/45 - 4*t**3/15 + 37*t**2. Determine y so that q(y) = 0.
-3, -1, 2/7
Factor -2/3*w - 1/3*w**2 - 1/3.
-(w + 1)**2/3
Let z(c) be the first derivative of c**4/12 - c**2/2 - 2*c/3 + 3. Determine j so that z(j) = 0.
-1, 2
Suppose -i = -2*a - 4, 4*i + 5*a + 1 = -9. Suppose i + 0*z - 2/3*z**3 + 0*z**2 = 0. What is z?
0
Determine z so that -9/7*z**3 - 3/7*z**4 + 3/7*z**5 + 0 + 3/7*z**2 + 6/7*z = 0.
-1, 0, 1, 2
Let p(v) be the third derivative of v**7/1680 + v**6/360 - v**3/6 - 3*v**2. Let r(f) be the first derivative of p(f). Factor r(n).
n**2*(n + 2)/2
Let p(s) be the third derivative of s**5/150 - s**4/30 + s**3/15 + 13*s**2. Factor p(w).
2*(w - 1)**2/5
Let k be (-2)/(((-14)/8)/7). Find s such that 3*s**2 - 6*s**5 + s**2 + 0*s - 2*s - 4*s**4 + k*s**3 = 0.
-1, 0, 1/3, 1
Let g(y) be the third derivative of -1/560*y**8 + 0 + 0*y + 0*y**4 - 5*y**2 + 0*y**3 + 0*y**5 - 1/600*y**6 + 2/525*y**7. Determine u so that g(u) = 0.
0, 1/3, 1
Suppose -b = -4*b + 6. Suppose 0 = b*d - 5 + 1. Suppose -6*j**d + j + 0*j + j = 0. Calculate j.
0, 1/3
Suppose -4*y = n - 20, 0 = -3*n - 0*y - y + 27. Let p = -4 + n. Suppose 2/7*h**p - 4/7*h**2 + 0*h**3 + 0*h + 2/7 = 0. Calculate h.
-1, 1
Let a(y) be the first derivative of 3*y**4/28 + y**3/7 - 3*y**2/14 - 3*y/7 + 5. Factor a(n).
3*(n - 1)*(n + 1)**2/7
Let p(s) be the first derivative of 2*s**5/25 + s**4/5 - 8*s**3/15 - 2*s**2/5 + 6*s/5 + 7. Solve p(m) = 0.
-3, -1, 1
Let z(w) = -w**2 + 3*w - 5. Let y(x) = -3. Let o(s) = -1. Let l(g) = -2*o(g) + y(g). Let d(q) = 3*l(q) - z(q). Factor d(v).
(v - 2)*(v - 1)
Find y such that 14/9*y**2 - 8/3 - 80/9*y = 0.
-2/7, 6
Let p(o) = -o + 9. Let z be p(9). Suppose 5*i = -4*y + y + 31, z = -3*y - 4*i + 26. Factor -1/2*l**y + l - 1/2.
-(l - 1)**2/2
Let a be -6*(21/(-9) - -2). Let h = -11 - -23/2. Factor h*v**4 - 1/4*v + 0 - 1/2*v**a + 1/4*v**3.
v*(v - 1)*(v + 1)*(2*v + 1)/4
Factor -4/3 - 2*c + 2/3*c**3 + 0*c**2.
2*(c - 2)*(c + 1)**2/3
Let t(h) be the second derivative of h**6/180 + h**5/20 + h**4/6 + 5*h**3/6 - 4*h. Let v(i) be the second derivative of t(i). Determine m, given that v(m) = 0.
-2, -1
Suppose 0 = 2*i + 3*i - 10. Factor 2*c**4 - 2*c**2 - 2*c**3 + 5*c**3 - i*c - c**3.
2*c*(c - 1)*(c + 1)**2
Let s = 11 + -6. Solve -3 + 3*y - y**2 + 5 + s*y**2 - 3*y**2 = 0.
-2, -1
Let d(q) be the second derivative of q**8/1120 - q**7/560 - q**3/6 + 2*q. Let t(o) be the second derivative of d(o). Factor t(k).
3*k**3*(k - 1)/2
Let y(i) be the third derivative of 1/15*i**5 + 0*i + 0*i**4 + 0 + i**2 + 0*i**3. Factor y(p).
4*p**2
Let h(p) be the second derivative of 0*p**3 - 1/210*p**5 - p**2 + 0 - 2*p + 0*p**4. Let d(i) be the first derivative of h(i). Factor d(r).
-2*r**2/7
Suppose 0 + w**4 + 2/3*w - 7/3*w**3 - w**2 + 5/3*w**5 = 0. Calculate w.
-1, 0, 2/5, 1
Suppose b = 5*l - 19, -5*l - 3*b + 30 - 7 = 0. Factor y**l + 0*y - 2*y + 3*y**3 + 3*y**2 + 3*y.
y*(y + 1)**3
Suppose 11*j - 20*j = 0. Let h(m) be the second derivative of 0*m**2 - 1/60*m**5 + 1/36*m**3 + j*m**6 + 4*m + 0*m**4 + 1/252*m**7 + 0. Factor h(u).
u*(u - 1)**2*(u + 1)**2/6
Let a be ((-7)/(-2))/(-1)*27/(-42). Let l be 1/5*(-90)/(-12). Factor a*y**2 + 21/4*y + l.
3*(y + 2)*(3*y + 1)/4
Solve 2*v**3 - 17*v**2 - 3*v + 3*v + 4*v + 11*v**2 = 0.
0, 1, 2
Let w(o) be the third derivative of -o**8/336 + o**7/210 + o**6/60 - o**5/30 - o**4/24 + o**3/6 + 7*o**2. Suppose w(v) = 0. What is v?
-1, 1
Let c(j) = 3*j**2 - 4*j - 3. Let p(k) = -k. Let t(u) = -c(u) + 4*p(u). Factor t(o).
-3*(o - 1)*(o + 1)
Let p(s) be the first derivative of -4*s**5/5 + 13*s**4/4 - 5*s**3 + 7*s**2/2 - s - 13. Factor p(k).
-(k - 1)**3*(4*k - 1)
Let v(b) be the second derivative of 2/3*b**3 + 2*b + 1/3*b**4 + 0*b**2 + 0. Factor v(y).
4*y*(y + 1)
Let m(a) be the first derivative of a**4/34 - 3*a**2/17 + 4*a/17 + 6. Factor m(h).
2*(h - 1)**2*(h + 2)/17
Let u(w) be the third derivative of w**6/180 - w**5/30 + w**4/18 - 2*w**2. Factor u(c).
2*c*(c - 2)*(c - 1)/3
Let s = 75 - 70. Let i(a) be the third derivative of 0*a**4 - 1/20*a**s - 1/40*a**6 + 0*a**3 + 0 - 2*a**2 + 0*a. Factor i(k).
-3*k**2*(k + 1)
Let i be 4/(-52) + ((-378)/(-429))/2. Determine l, given that -6/11*l + i + 2/11*l**2 = 0.
1, 2
Let l be (-634)/10 - 16/(-40). Let u be (-60)/l - 8/28. Determine z, given that 0*z**2 - u*z - 1/3 + 2/3*z**3 + 1/3*z**4 = 0.
-1, 1
Let p(y) = -y - 12. Let f be p(-14). Let g(d) be the first derivative of 4/7*d - 4/21*d**3 - 1/7*d**f + 2 + 1/14*d**4. Factor g(x).
2*(x - 2)*(x - 1)*(x + 1)/7
Let b be (-10)/3*6/(-5). Factor 3*t - 2*t**5 + 15*t**4 - t + 4*t**2 - b*t - 17*t**4 + 4*t**3 - 2.
-2*(t - 1)**2*(t + 1)**3
Determine q, given that -2/19*q**4 + 6/19*q**3 + 0*q**2 + 0 - 8/19*q = 0.
-1, 0, 2
Let v(z) = 29*z**3 + 88*z**2 + 86*z + 24. Let m(n) = 117*n**3 + 351*n**2 + 345*n + 96. Let c(o) = 2*m(o) - 9*v(o). What is r in c(r) = 0?
-2, -2/3
Factor 14/3*q**3 - 2*q + 17/3*q**2 + 0.
q*(2*q + 3)*(7*q - 2)/3
Suppose 2*f + 12 = 2*r, -5*f = r + 3*r + 3. Factor 6*c**3 + c + 0*c - 4*c - r*c**3.
3*c*(c - 1)*(c + 1)
Let l be 1*(-1 - (-7 + 2)). Let w(m) be the second derivative of 2*m - 4/3*m**3 - m**l + 0 - m**2 - 1/15*m**6 - 2/5*m**5. Suppose w(p) = 0. What is p?
-1
Let c = 1993/5 + -397. Factor 2/5*i + 0 + c*i**2 + 6/5*i**3.
2*i*(i + 1)*(3*i + 1)/5
Let x(n) be the first derivative of n**9/144 - 19*n**8/560 + 3*n**7/56 - n**6/120 - n**5/20 + n**3 + 3. Let r(s) be the third derivative of x(s). Factor r(z).
3*z*(z - 1)**3*(7*z + 2)
Let w(s) = s**2 + s. Let g(i) = -i**2 + i + 1. Let j be g(0). Let r(o) = -3*o**2 - 5*o. Let f(d) = j*r(d) + 4*w(d). Solve f(x) = 0 for x.
0, 1
Let d(h) = 11*h**5 + h**4 + 3*h**3 + 5. Let c(o) = 6*o**5 + o**4 + 2*o**3 + 3. Let r(w) = -5*c(w) + 3*d(w). Solve r(l) = 0 for l.
-1/3, 0, 1
Let n(o) = -o**4 + o**3. Let x(c) = 6*c**4 + 14*c**3 + 20*c**2 + 8*c. Let u(v) = 2*n(v) + x(v). Factor u(a).
4*a*(a + 1)**2*(a + 2)
Let v(q) be the third derivative of q**8/84 + 2*q**7/105 - q**6/10 - q**5/15 + q**4/3 - 3*q**2. Factor v(s).
4*s*(s - 1)**2*(s + 1)*(s + 2)
Let d be (-9)/((-1980)/(-16))*(0 - 5). Factor 4/11*w**3 + d*w**2 - 6/11*w**4 - 6/11*w + 2/11 + 2/11*w**5.
2*(w - 1)**4*(w + 1)/11
Let f(k) be the second derivative of k**5/15 - k**4/3 + 4*k**3/9 + 26*k. Let f(j) = 0. What is j?
0, 1, 2
Determine v so that -10 - 26*v**2 - 30*v - 14*v**2 + 65*v + 10*v**4 + 10*v**3 - 5*v**5 = 0.
-2, 1
Find c, given that -2*c**2 + 0*c**3 - 3*c**2 + c**4 + 4*c**3 - 2*c**4 + 2*c = 0.
0, 1, 2
Let d(f) be the third derivative of -f**8/4200 - f**7/525 - f**6/180 - f**5/150 + f**3/6 + 4*f**2. Let m(z) be the first derivative of d(z). Factor m(c).
-2*c*(c + 1)**2*(c + 2)/5
Factor 0 - 5/2*p + 5/2*p**2.
5*p*(p - 1)/2
Let g(m) = -m**4 - m + 1. Suppose 3*l - 13 = -1. Let z(c) = 3*c**4 - 5*c**3 - 9*c**2 - 3*c - 6. Let v(j) = l*g(j) + z(j). Determine u so that v(u) = 0.
-2, -1
Let n = 379/44 - 33/4. Factor 6/11*l**4 + 0*l + n*l**2 + 0 + 10/11*l**3.
2*l**2*(l + 1)*(3*l + 2)/11
Solve -26/17*m**2 - 8/17 + 24/17*m - 2/17*m**4 + 12/17*m**3 = 0 for m.
1, 2
Let a(v) be the second derivative of v**4/4 + 4*v**