 t in h(t) = 0?
-2/7, 0
Let a(s) be the first derivative of -s**4/54 + s**3/9 - 2*s**2/9 - 2*s - 1. Let r(n) be the first derivative of a(n). Determine z, given that r(z) = 0.
1, 2
Let k = 2/311 - -608/2177. Let l be (-1408)/(-9240) - (2 - 64/30). Determine r, given that -l*r**3 - 2/7*r**2 + k*r + 0 + 2/7*r**4 = 0.
-1, 0, 1
Suppose 0*p - 3*p = -6. Let i(q) be the second derivative of 4/3*q**p + 3*q + 5/18*q**4 + 0 - 7/30*q**5 + 16/9*q**3. Factor i(j).
-2*(j - 2)*(j + 1)*(7*j + 2)/3
Suppose 0 = -4*l - 4, 25 = 3*j - j - 5*l. What is a in 2*a**3 - 2*a + 10*a**2 - j*a**2 + 0*a**3 - 1 + a**4 = 0?
-1, 1
Let r(k) be the second derivative of 2*k**4/27 + 11*k**3/27 - k**2/3 - 9*k. Factor r(a).
2*(a + 3)*(4*a - 1)/9
Let p be 1/(-5) - 116/(-180). Let n(g) be the third derivative of -1/90*g**5 + 0*g - 1/9*g**4 + 0 - p*g**3 - g**2. Suppose n(h) = 0. Calculate h.
-2
Suppose g - 9 = -0*g. Suppose -f - 2*f = -g. What is m in -2*m**4 + 4*m**f - 27*m**2 + 8*m**2 + 64*m + 12*m**3 - 32 - 29*m**2 = 0?
2
Find g such that 24*g**3 + 9*g**2 - 3*g**2 - 26*g**3 - 4*g = 0.
0, 1, 2
Let w(l) = 5*l**4 + 26*l**3 - 21*l**2 - 49*l - 29. Let n(c) = c**4 + 5*c**3 - 4*c**2 - 10*c - 6. Let m(f) = 11*n(f) - 2*w(f). Find g such that m(g) = 0.
-2, -1, 2
Let u(k) be the first derivative of -8*k**5/25 + k**4/10 + 8*k**3/15 - k**2/5 - 1. Determine m, given that u(m) = 0.
-1, 0, 1/4, 1
Let m(j) = 11*j**2 + 26*j + 27. Let i(d) = -4*d**2 - 9*d - 9. Let a(s) = -8*i(s) - 3*m(s). Factor a(v).
-(v + 3)**2
Factor 8/3 + 2/3*y**5 - 10/3*y**3 - 2/3*y**4 + 2/3*y**2 + 16/3*y.
2*(y - 2)**2*(y + 1)**3/3
Let n(g) be the second derivative of g**4/12 + g**3/6 - 2*g**2 - 2*g. Let a be n(-3). Factor -2*h - 2*h**2 + 0*h**2 - 4*h + a*h + 2*h**3.
2*h*(h - 2)*(h + 1)
Let g(j) be the first derivative of -j**5/120 + j**4/48 + j**3/6 - 5*j**2/2 - 5. Let c(l) be the second derivative of g(l). Solve c(m) = 0.
-1, 2
Let p(v) = v**4 + v**3 + v**2 - v - 1. Let n(g) = 4*g**4 + 10*g**3 + 4*g**2 - 6*g - 6. Let d(c) = n(c) - 6*p(c). Suppose d(b) = 0. Calculate b.
0, 1
Factor -2*q + 0 - 1/3*q**2 + 1/3*q**3.
q*(q - 3)*(q + 2)/3
Let g(i) = -2*i - 8. Let j be g(-8). Suppose -4*s = -4 - j. Factor 1/3*t**4 + 1/3*t**5 - 1/3*t**s + 0*t + 0 - 1/3*t**2.
t**2*(t - 1)*(t + 1)**2/3
Let x(i) = -i - 15. Let w be x(-20). Let n(k) be the first derivative of -1/15*k**w + 0*k**3 + 1 + 0*k**2 - 1/12*k**4 + 0*k. Factor n(c).
-c**3*(c + 1)/3
Let a(c) = -3*c - 33. Let n be a(-12). Factor 1/4*w**5 + 0*w + w**4 + 1/2*w**2 + 5/4*w**n + 0.
w**2*(w + 1)**2*(w + 2)/4
Let s be 46/16 + (-28)/(-224). Let m(q) = q. Let i be m(0). Suppose -7/2*p**2 + p + i + 3/2*p**s = 0. What is p?
0, 1/3, 2
Find y such that 1/4*y**3 + 1/4*y + 0 - 1/2*y**2 = 0.
0, 1
Let d(m) = m**5 - m**4 - m - 1. Let j(w) = -35*w**5 + 25*w**4 + 10*w**3 + 10*w**2 + 25*w + 25. Let h(a) = -30*d(a) - j(a). Let h(c) = 0. What is c?
-1, 1
Let k(l) be the first derivative of 0*l**4 + 8 + 0*l**2 + 0*l + 1/25*l**5 + 0*l**3. Solve k(f) = 0.
0
Determine c so that 3*c + 1/2 + 4*c**2 - 2*c**5 - 9/2*c**4 - c**3 = 0.
-1, -1/4, 1
Let f(b) = b**2 + 9*b + 14. Let w be f(-5). Let q be ((-48)/(-30))/(w/(-10)). Solve q + 16/3*t + 10/3*t**2 + 2/3*t**3 = 0.
-2, -1
Suppose -l = 3*l - 4. Factor l + 4*t + 0 + 1 - 4 - 2*t**2.
-2*(t - 1)**2
Let v(z) = -3*z**3 - 9*z**2 - 9*z - 3. Let u(d) = d**3 + 3*d**2 + 3*d + 1. Let y(h) = -21*u(h) - 6*v(h). Determine j, given that y(j) = 0.
-1
Let p(t) = -t**3 + 4*t**2 + 3*t. Let h be p(-3). Factor 3*l**2 - 54*l + h*l.
3*l**2
Let a(v) = -7*v**3 - 2*v + 3*v**2 + 3 + 6*v**3 + 6*v. Let k be a(4). Find j, given that 3*j + 1 + 3/2*j**k + 1/4*j**4 + 13/4*j**2 = 0.
-2, -1
Suppose 2*c = 7*c - 10. Let 13*g**3 - g**2 - 10*g**3 + g**4 - c*g**3 - g**5 = 0. What is g?
-1, 0, 1
Factor 2/9 - 4/9*b**2 + 2/9*b.
-2*(b - 1)*(2*b + 1)/9
Let u(f) = f**2 + 4*f - 1. Suppose -n - 2 = 3. Let v be u(n). Factor 0*x**3 + 2*x**2 - 14*x**v - 4*x**3 - 2*x**2.
-2*x**3*(7*x + 2)
Let a(l) be the third derivative of -l**5/20 + 3*l**4/4 - 9*l**3/2 - 7*l**2. Factor a(c).
-3*(c - 3)**2
Let n(r) be the second derivative of 7*r**6/15 - 9*r**5/10 + r**4/3 - 16*r. Let n(l) = 0. Calculate l.
0, 2/7, 1
Let v(b) be the first derivative of -b**7/735 - b**6/210 - 3*b**2 - 6. Let n(x) be the second derivative of v(x). Factor n(u).
-2*u**3*(u + 2)/7
Suppose 6*d = -0*d. Let a(h) be the second derivative of -2*h - 3/5*h**5 - 7/6*h**4 - 2/3*h**3 + 0 + d*h**2. Factor a(k).
-2*k*(2*k + 1)*(3*k + 2)
Let m(v) be the first derivative of 0*v**5 + 0*v + 1/7*v**4 - 1/21*v**6 - 1/7*v**2 + 0*v**3 + 4. What is u in m(u) = 0?
-1, 0, 1
Let c(u) be the first derivative of -u**5/270 + 5*u**2/2 + 5. Let w(a) be the second derivative of c(a). Factor w(l).
-2*l**2/9
Let i = -2306/21 - -995/7. Let u = i + -32. Determine q, given that 0 + 2/3*q**3 - 1/3*q**2 + 0*q - u*q**4 = 0.
0, 1
Let 22/9*d**2 + 10/9*d**3 + 0 + 4/9*d = 0. Calculate d.
-2, -1/5, 0
Let i(c) = c**2 - 9*c - 4. Let h be i(10). Let g be h/3 + 7/(-4). Find q such that g + 1/4*q**4 + q**3 + 3/2*q**2 + q = 0.
-1
Let x be (-1)/(-2) + (-1)/(-4). Solve -1 - 13/4*o**2 - x*o**3 - 4*o = 0 for o.
-2, -1/3
Let c be (11/((-88)/64))/(-2). Find h, given that -1/3*h**c - h**3 - 1/3*h - h**2 + 0 = 0.
-1, 0
Let b(f) be the second derivative of -f**5/5 - f**4 - 2*f**3 - 2*f**2 + f. Factor b(d).
-4*(d + 1)**3
Let j(o) = 0 + 5*o**3 - 4*o**2 + 1 + 2*o**2. Let k be j(1). Solve d - 3*d**3 - k*d**2 + 4*d**3 + 2*d**2 = 0.
0, 1
Let v(i) be the second derivative of i**6/1080 - i**5/360 + i**3/2 - 3*i. Let w(l) be the second derivative of v(l). Factor w(s).
s*(s - 1)/3
Let r be 2/(((-30)/9)/(-5)). Factor -r*y**2 + 10*y**4 + 7*y**2 + 3*y**2 - 24*y**3 + y**2.
2*y**2*(y - 2)*(5*y - 2)
Let f be -2 + (-3 + 8 - -1). Factor 106*b**3 + 2 - 144*b**3 + 31*b + 448*b**f + 286*b**3 + 216*b**3 + 180*b**2.
(4*b + 1)**3*(7*b + 2)
Let r = -37/91 - -5/7. Factor -4/13*i**2 - r*i**3 + 2/13*i**4 + 2/13*i**5 + 2/13*i + 2/13.
2*(i - 1)**2*(i + 1)**3/13
Let v(i) be the second derivative of 0*i**2 + 0 - 4*i - 1/36*i**4 + 1/90*i**6 + 1/18*i**3 - 1/60*i**5. What is m in v(m) = 0?
-1, 0, 1
Let z(c) be the third derivative of -c**6/30 + 8*c**5/75 + 2*c**4/15 + 27*c**2. Factor z(l).
-4*l*(l - 2)*(5*l + 2)/5
Let w be ((-4)/(-6))/((-12)/18). Let q be (-5 - w)*4/(-10). Factor q - 24/5*k + 18/5*k**2.
2*(3*k - 2)**2/5
Let n = 169 - 169. Let f(c) be the third derivative of 0 - 1/36*c**4 + 1/90*c**5 + n*c - 2/9*c**3 + 3*c**2. Factor f(s).
2*(s - 2)*(s + 1)/3
Let h = -1816 - -9108/5. Solve 49/5*r**2 + h*r + 4/5 = 0 for r.
-2/7
Let y(g) be the first derivative of g**3/27 + g**2/6 - 10. Let y(s) = 0. What is s?
-3, 0
Let j(u) be the second derivative of u**7/70 + 3*u**6/50 + 3*u**5/100 - 3*u**4/20 - u**3/5 - 9*u. Determine y so that j(y) = 0.
-2, -1, 0, 1
Let w(p) be the first derivative of -5 + 8/5*p + 2/15*p**3 + 4/5*p**2. Solve w(s) = 0 for s.
-2
Suppose -4/13*n**4 + 2/13*n**3 + 2/13*n**5 + 0*n**2 + 0*n + 0 = 0. Calculate n.
0, 1
Let a(l) be the first derivative of l**4/3 + l**3/2 - 5*l + 5. Let t(q) be the first derivative of a(q). Factor t(s).
s*(4*s + 3)
Factor -1250 + 850*r**2 + 383*r**3 + 5*r**5 + 57*r**3 + 45*r**4 - 125*r + 35*r**4.
5*(r - 1)*(r + 2)*(r + 5)**3
Let p = -8/129 + 59/258. Solve -p + 1/6*t**2 + 0*t = 0.
-1, 1
Let g(t) be the first derivative of -1/3*t**3 + 0*t - 1/2*t**2 + 4. Factor g(r).
-r*(r + 1)
Let a(m) = -2*m - 6. Let z be a(-4). Suppose f + f - 8 = 2*p, -2*p = 3*f - z. Solve b + 2*b**f + 3*b - 2*b = 0 for b.
-1, 0
Let q(t) be the first derivative of -4/13*t - 2 - 9/13*t**2 - 32/39*t**3 - 1/39*t**6 - 7/13*t**4 - 12/65*t**5. Find s, given that q(s) = 0.
-2, -1
Let z be 0 + 1 - 66/132. Factor 0 - 3/2*d**3 - z*d**4 + 1/2*d**2 + 1/2*d**5 + d.
d*(d - 2)*(d - 1)*(d + 1)**2/2
Let b be (0 - 0) + (-55)/(-105). Let u = -5/21 + b. Factor -u*j**2 + 2/7 + 0*j.
-2*(j - 1)*(j + 1)/7
Factor -5*u + 3*u + u**2 + 5 + 1 - 5.
(u - 1)**2
Let f(t) = -2*t + 22. Let r be f(11). Let k(l) be the third derivative of -1/210*l**5 + r*l + l**2 + 1/42*l**4 + 0*l**3 + 0. Suppose k(i) = 0. What is i?
0, 2
Let z(b) be the third derivative of -1/5*b**5 + 1/3*b**4 + 0*b - 1/105*b**7 + 2*b**2 + 0 - 1/3*b**3 + 1/15*b**6. Factor z(h).
-2*(h - 1)**4
Let o(n) be the first derivative of -n**4/2 + 2*n**3 - 8*n + 44. Let o(d) = 0. What is d?
-1, 2
Let l(v) = 96 +