*(t + 1)**3/13
Let n(f) be the first derivative of -5*f**3/3 + 25*f**2/2 + 7. Determine t so that n(t) = 0.
0, 5
What is b in 10*b - b**3 - 1/2*b**4 + 7/2*b**2 + 6 = 0?
-2, -1, 3
Suppose 0 = 5*b - 8*v + 5*v - 29, -5*b + 8 = 4*v. Let 0 + 8/3*w**2 + 4/3*w**5 + 0*w**3 - 8/3*w**b - 4/3*w = 0. Calculate w.
-1, 0, 1
Suppose -5*i - 4 = -14. Let c = 1997/9 - 221. Determine m, given that 2/9*m + 2/3*m**3 - c*m**i + 0 = 0.
0, 1/3, 1
Factor -1/8*a**2 - 121/8 + 11/4*a.
-(a - 11)**2/8
Let s(u) = 3*u - 2. Let k be s(2). Let l(b) be the first derivative of 0*b - 3 + 0*b**k - 2/27*b**3 + 0*b**2 + 2/45*b**5. Let l(j) = 0. Calculate j.
-1, 0, 1
Let c(f) = -17*f**4 - 102*f**3 - 6*f**2 + 115*f + 49. Let h(i) = -9*i**4 - 51*i**3 - 3*i**2 + 57*i + 24. Let y(v) = -6*c(v) + 13*h(v). Solve y(q) = 0 for q.
-3, -1, -2/5, 1
Let h(a) = 10*a**2 - 22*a - 14. Let s(b) = 11*b**2 - 23*b - 13. Let o(c) = 5*h(c) - 6*s(c). Factor o(x).
-4*(x - 2)*(4*x + 1)
Determine h, given that -6/7*h**3 + 58/7*h**2 - 54/7*h**4 + 6/7*h - 4/7 = 0.
-1, -1/3, 2/9, 1
Let y(h) = -2*h**2 + 2*h. Let j be y(0). Let q(x) be the third derivative of 0*x**3 + 1/540*x**6 + 0 - 1/315*x**7 + j*x - x**2 + 0*x**5 + 0*x**4. Factor q(o).
-2*o**3*(3*o - 1)/9
Factor -2/7 + 1/7*b**4 + 1/7*b**2 + 3/7*b**3 - 3/7*b.
(b - 1)*(b + 1)**2*(b + 2)/7
Let t(q) be the first derivative of -q**6/60 - q**5/40 - 6*q - 5. Let d(o) be the first derivative of t(o). Factor d(l).
-l**3*(l + 1)/2
Let g(z) be the third derivative of -z**8/23520 + z**7/4410 - z**6/2520 - z**4/24 - 3*z**2. Let w(y) be the second derivative of g(y). Factor w(c).
-2*c*(c - 1)**2/7
Let u be 42/(-35)*50/(-45). Factor -u*r + 2/3*r**3 + 1 - 1/3*r**2.
(r - 1)**2*(2*r + 3)/3
Let r(f) = -5*f + 11. Let g(v) = -4*v + 10. Let p(z) = -6*g(z) + 5*r(z). Let y be p(-7). Factor -2*c**3 + c**5 + 0*c**5 + c**4 - 3 + 4 - 2*c**y + c.
(c - 1)**2*(c + 1)**3
Find j, given that -16*j**3 - 15*j**2 + 20*j**3 + 4*j**5 + 15*j**2 - 8*j**4 = 0.
0, 1
Let y = -6 - -11. Let z = -3 + y. Determine o so that 2*o**z - 3*o + 2*o + 3*o = 0.
-1, 0
Solve -q**4 + 3*q**4 - 2*q**3 + 4*q**2 - 4*q**3 = 0.
0, 1, 2
Let r(f) be the third derivative of f**8/1512 + 11*f**7/945 + 17*f**6/270 + 7*f**5/135 - 35*f**4/108 - 25*f**3/27 - 18*f**2. Solve r(k) = 0.
-5, -1, 1
Let z(x) be the first derivative of -1/4*x**2 - x + 2/3*x**3 - 3 + 3/8*x**4. Factor z(r).
(r + 1)**2*(3*r - 2)/2
Let k(t) = -t**2 + 11*t - 4. Let f be k(10). Let p be (-4)/f*(-2)/4. Factor 0 + p*r**2 + 0*r - 1/3*r**3.
-r**2*(r - 1)/3
Let a(l) be the third derivative of l**6/1260 + l**5/420 - l**4/42 + 2*l**3/3 + l**2. Let v(u) be the first derivative of a(u). Suppose v(n) = 0. Calculate n.
-2, 1
Let y be 12/((-3)/(-10)*30/8). Determine b so that 8/3 + 10*b**2 - y*b = 0.
2/5, 2/3
Let a(y) = y - 5. Let t(u) = -4*u + 26. Let f(z) = -14*a(z) - 3*t(z). Let n be f(-6). Factor 0*x**3 + 0*x + 0 + 2/3*x**n - 2/3*x**2.
2*x**2*(x - 1)*(x + 1)/3
Suppose -o = 5*g - 5, -3*g + 2*g + 12 = -2*o. Determine p, given that -g*p**2 + 2*p + 5*p**2 + p - 3*p**4 - 6*p**3 + 3*p = 0.
-2, -1, 0, 1
Let r(k) be the first derivative of k**6/180 - k**5/90 + 2*k**2 + 4. Let p(n) be the second derivative of r(n). Factor p(g).
2*g**2*(g - 1)/3
Let b(z) be the first derivative of -2*z**7/21 + z**6/15 + z**5/10 + 2*z + 1. Let i(k) be the first derivative of b(k). Factor i(g).
-2*g**3*(g - 1)*(2*g + 1)
Suppose 20 = -8*c + 4*c. Let o be (4 + c)*(1 - 1). Factor o + 0*t - 1/5*t**4 - 1/5*t**3 + 0*t**2.
-t**3*(t + 1)/5
Suppose 2*b + 16 = -2*b, -2*b = 4*f + 16. Let n be (-33)/(-42) + 1/f. Determine j so that -2/7*j**3 + 0*j + 0 + 4/7*j**4 - n*j**5 + 0*j**2 = 0.
0, 1
Let j = -3/19 - -25/38. Solve 1/2*i**3 - j*i - 1 + i**2 = 0.
-2, -1, 1
Let a(f) be the second derivative of 5*f**7/42 - 5*f**6/6 + f**5/2 + 35*f**4/6 - 5*f**3/2 - 45*f**2/2 - 56*f. Determine r, given that a(r) = 0.
-1, 1, 3
Let x(m) = -4*m**3 + 5*m**3 + 2*m + m**2 - 1 - m - m**4. Let h(o) = 47*o**4 - 80*o**3 - 29*o**2 + 7*o + 5. Let k(p) = -h(p) - 5*x(p). Solve k(w) = 0 for w.
-1/2, 0, 2/7, 2
Let q = 887 + -887. Factor q - 2/5*l**2 + 4/5*l.
-2*l*(l - 2)/5
Factor 1/4*w**4 + 1/4*w**5 + 0 + 0*w + 0*w**3 + 0*w**2.
w**4*(w + 1)/4
Let k = -1/211 - -851/1477. Factor 0 - k*l**2 + 2/7*l**3 + 2/7*l.
2*l*(l - 1)**2/7
Solve -2/3 + 2/3*z**3 + 10/9*z + 22/9*z**2 = 0.
-3, -1, 1/3
Let u(a) be the first derivative of -a**5/5 + a**3/3 - 39. Factor u(f).
-f**2*(f - 1)*(f + 1)
Solve 16/19*x - 12/19*x**3 - 10/19*x**4 + 0 + 8/19*x**2 - 2/19*x**5 = 0.
-2, 0, 1
Let q(z) = 7*z - 2. Let r be q(1). Factor 2*v + v**2 - r + 2 + 0*v.
(v - 1)*(v + 3)
Let b be 0*(-5 + (-88)/(-16)). Factor -4/7*y + 8/7*y**3 - 6/7*y**4 + b + 2/7*y**2.
-2*y*(y - 1)**2*(3*y + 2)/7
Let w(c) = c - 1. Let y(r) = 3*r**2 - 4*r + 1. Suppose -p + 6 = 1. Suppose -p*x + 17 = 7. Let k(h) = x*w(h) - 2*y(h). Find b such that k(b) = 0.
2/3, 1
Suppose 4*m = 11*m - 14. Let b(z) be the third derivative of -1/150*z**5 + 1/300*z**6 + 0*z + m*z**2 + 0*z**4 + 0*z**3 + 0. Determine f so that b(f) = 0.
0, 1
Let s(a) = 10*a**5 - 11*a**4 + 7*a**3 - a**2. Let w(x) = -5*x**5 + 6*x**4 - 3*x**3. Let o be (-220)/(-35) - 4/14. Let p(y) = o*s(y) + 15*w(y). Factor p(r).
-3*r**2*(r - 1)**2*(5*r + 2)
Let y be (-2)/(-10) + 45/25. Factor 2 + 2*k**4 + 14*k**2 - 8*k**3 + 0*k**4 - 8*k + 0 - y*k**2.
2*(k - 1)**4
Solve -g**3 + 0*g**3 - g**3 + 15*g**2 - 11*g**2 = 0 for g.
0, 2
Let o be 3*((-3)/1 + 4). What is t in 2*t**5 + 2*t**3 + 1 - 2*t**2 - o*t - 3*t**4 + 4*t**2 - t**5 = 0?
-1, 1
Let 1/5*v**2 + 1/5*v - 2/5 = 0. Calculate v.
-2, 1
Let k(x) be the first derivative of -x**5/50 + x**4/15 - x**3/15 - 2*x - 4. Let b(z) be the first derivative of k(z). Factor b(m).
-2*m*(m - 1)**2/5
What is j in 1/5*j - 2/5*j**2 + 0 + 2/5*j**4 + 0*j**3 - 1/5*j**5 = 0?
-1, 0, 1
Let x(q) be the second derivative of -5*q**4/12 + 5*q**3/6 + 15*q**2 - 10*q. Suppose x(f) = 0. What is f?
-2, 3
Let h(u) be the first derivative of -u**3/3 + u**2 - u - 3. Factor h(w).
-(w - 1)**2
Let q(v) be the third derivative of 1/840*v**7 - 1/24*v**4 + 1/80*v**5 + 0 - 1/6*v**3 + 1/120*v**6 - 7*v**2 + 0*v. Factor q(r).
(r - 1)*(r + 1)*(r + 2)**2/4
Let n be 354/114 + 2/(-19). Let i(v) be the first derivative of -1/6*v + 2/15*v**5 + 1 - 1/12*v**2 + 1/2*v**n - 11/24*v**4. Factor i(m).
(m - 1)**3*(4*m + 1)/6
Let g(o) be the first derivative of 5*o**6/18 + 2*o**5/3 - 5*o**4/6 - 20*o**3/9 + 5*o**2/6 + 10*o/3 + 3. Determine a, given that g(a) = 0.
-2, -1, 1
Factor 4/5*p - 4/5*p**2 + 48/5.
-4*(p - 4)*(p + 3)/5
Let s(f) = -2*f - 4. Let z be s(-3). Let p(i) be the first derivative of -1/3*i**2 + 2/3*i + 1/3*i**4 + 2/15*i**5 - 4/9*i**3 + z - 1/9*i**6. Factor p(n).
-2*(n - 1)**3*(n + 1)**2/3
Let p(c) be the second derivative of 3*c**5/20 + c**4 - 11*c**3/2 + 9*c**2 + 3*c. Solve p(l) = 0 for l.
-6, 1
Suppose -5*n - 2 = -12. Let x(d) = d**2 - 6*d - 3. Let h be x(7). Factor l**3 + l**3 + 3*l**4 + l**h - n*l**4.
2*l**3*(l + 1)
Let g = -140 - -143. Find f, given that -4/13*f + 0*f**g + 2/13*f**4 + 0 - 6/13*f**2 = 0.
-1, 0, 2
Let f be 7/42*(2*6 - 2). Factor 0 + 4*w**3 + 3*w**2 + f*w**4 + 2/3*w.
w*(w + 1)**2*(5*w + 2)/3
Let u be -2 + (-46)/(-30) - (-2)/3. Let x(c) be the first derivative of -3/4*c**4 + 0*c - 1/2*c**2 + u*c**5 + c**3 - 2. Suppose x(v) = 0. Calculate v.
0, 1
Let v(m) = 14*m**2 - 15*m - 8. Let w(d) = 5*d**2 - 5*d - 3. Let g(c) = -4*v(c) + 11*w(c). Let r be g(4). Factor -y**4 + 0*y**3 + r*y**4 - y**3 - y**5.
-y**3*(y - 1)**2
Suppose -7*c + 8 = -3*c. Suppose -1/2*j**3 - 13/2*j**2 + 11/2*j**4 + 1 + 5/2*j - c*j**5 = 0. What is j?
-1, -1/4, 1, 2
Suppose 5*f = -2*o + o + 17, -3*o = 4*f - 18. Find y, given that -1/2*y**3 + 2*y**2 + 0 - o*y = 0.
0, 2
Solve -8/17*c - 8/17 - 2/17*c**2 = 0.
-2
Let g(v) = v**2 + v. Let s(q) = 0*q + 9*q + 2*q**2 + 6*q**2 + q + 4*q**3. Let r(d) = -22*g(d) + 2*s(d). Find f, given that r(f) = 0.
-1/4, 0, 1
Find d, given that 1/2*d**2 + d + 1/2 = 0.
-1
Let o(d) = 5*d**2 - 34*d + 80. Let y(n) = -55*n**2 + 375*n - 880. Let m(z) = -65*o(z) - 6*y(z). Determine w so that m(w) = 0.
4
Factor -1 + 0 + 6*s**2 + 3 - 6 + 2*s.
2*(s + 1)*(3*s - 2)
Let v be 34/8 + 10/40. Determine y so that v*y + 1 + 6*y**2 + 5/2*y**3 = 0.
-1, -2/5
Factor 2 - 8*g + 4*g**2 - 7 - 7.
4*(g - 3)*(g + 1)
Let o(l) = l**2 - 6*l - 14. Let h be o(-2). Let -4/3 + 0*u - 4/3*u**4 + 8/3*u**