4/7*c**5 + 0 + 12/7*c**2 + 4*c**3 + 20/7*c**4.
4*c**2*(c + 1)**2*(c + 3)/7
Let h(g) = -19*g**2 + 9*g**3 - 6 - 10*g**3 - 7 - 25 - 2*g. Let m be h(-19). Determine j so that 2/9 + 0*j**3 + 2/9*j**4 - 4/9*j**2 + m*j = 0.
-1, 1
Let x(z) be the third derivative of 0*z**6 - 7*z**2 + 0*z + 1/120*z**5 + 0*z**4 + 0*z**3 - 1/420*z**7 + 0. Factor x(j).
-j**2*(j - 1)*(j + 1)/2
Let v(c) be the third derivative of 0*c + 1/3*c**4 + 26*c**2 + 2/3*c**3 + 0 + 1/15*c**5. Factor v(j).
4*(j + 1)**2
Let a(m) be the second derivative of m**5/35 - 10*m**4/21 + 46*m**3/21 - 4*m**2 - 10*m - 8. Factor a(q).
4*(q - 7)*(q - 2)*(q - 1)/7
Let m(l) = -l**2 - 1. Let u(z) = 11*z**2 + 3*z. Let r be u(1). Let a(w) = 2*w**3 - 11*w**2 - 10*w + 5. Let h(i) = r*m(i) - 2*a(i). Factor h(o).
-4*(o - 3)*(o - 1)*(o + 2)
Suppose -15*l - 2 = -32. What is i in l*i**3 - 2*i - 2/3*i**2 + 0 + 2/3*i**4 = 0?
-3, -1, 0, 1
Suppose 4*f - 5*z - 21 = 0, -4*z - z - 5 = 0. Suppose 14*v**2 + f*v + 26*v**2 + 78*v**3 + 22*v**3 = 0. What is v?
-1/5, 0
Suppose 12 = 4*b + 4*i, 4*i = -3*b - i + 3. Suppose t = b - 3. Factor -u**2 + 12*u - 12*u - 2 + t.
-(u - 1)*(u + 1)
Let k(n) be the third derivative of n**5/30 + n**4/12 - 2*n**3/3 - 230*n**2. Solve k(t) = 0.
-2, 1
Let i(r) be the third derivative of 3/4*r**5 + 0 + 0*r + 0*r**3 - 8*r**2 - 7/24*r**6 - 5/12*r**4. Factor i(m).
-5*m*(m - 1)*(7*m - 2)
Let u(h) = -2*h**3 + 30*h**2 + 29*h - 3. Let q(l) = -4*l**3 + 58*l**2 + 57*l - 5. Let o(d) = -3*q(d) + 5*u(d). Factor o(y).
2*y*(y - 13)*(y + 1)
Let -226*p - 66*p - 72 - 12*p**3 + 28*p**4 - 212*p**2 + 64*p + 16*p**5 + 23*p**4 + 9*p**4 = 0. What is p?
-3, -1, -3/4, 2
Let o be 25843/3005 - (2*-1)/((-8)/28). Determine s, given that -o*s - 1/5*s**2 - 12/5 = 0.
-6, -2
Let m be 1 - (-3)/((-9)/(-3)). Suppose -m*v + 6 = -0*v. Factor -2 - 5*a**v + 16*a**4 + 2 - 9*a**4 - 2*a**2.
a**2*(a - 1)*(7*a + 2)
Let m be (-3)/20 - (-2)/5. Let j(a) = -a**2 - 22*a - 40. Let b be j(-20). Find t, given that -1/2*t - 3/4*t**5 + b - m*t**4 + 5/4*t**3 + 1/4*t**2 = 0.
-1, 0, 2/3, 1
Suppose 20*d = 14*d - 168. Let h be (-24)/(-42) - 5/d. Factor h*f**2 + 1/4*f + 0 + 1/4*f**4 + 3/4*f**3.
f*(f + 1)**3/4
Let i = -6 - -9. Let j(w) be the second derivative of 2/7*w**4 + 3/70*w**5 + 0 + 0*w**2 - 1/21*w**6 + 4/21*w**i + 8*w. Find t such that j(t) = 0.
-1, -2/5, 0, 2
Suppose -14*i = -9*i - 100. Let r be 24/20*i/6. Find u such that 3 + 3*u**r + 2*u**3 + 18*u**2 + 8*u**3 + 2*u**3 + 12*u = 0.
-1
Factor 115*w**3 + 20*w + 117*w**3 - 15*w**2 + 115*w**3 - 352*w**3 + 60.
-5*(w - 2)*(w + 2)*(w + 3)
Suppose 7*n + 0 = -0. Suppose u + 5 = n, a - 12 + 32 = -4*u. Let -3*o**3 - 1/2*o + 2*o**2 - 1/2*o**5 + a + 2*o**4 = 0. Calculate o.
0, 1
Suppose 49*t - 128 = 7*t - 22*t. Factor 2/9*b**5 - 20/9*b**t - 10/9*b**4 - 2/9 + 20/9*b**3 + 10/9*b.
2*(b - 1)**5/9
Let a = -98 - -100. Let u(b) be the first derivative of 0*b + 1/8*b**a - 4 + 1/16*b**4 - 1/6*b**3. What is g in u(g) = 0?
0, 1
Let j = 17061/17 + -1003. Let q = -13/51 + j. Suppose 4/3*f**2 - 4/3*f**4 + 0 + q*f - 4/3*f**5 + f**3 = 0. Calculate f.
-1, -1/2, 0, 1
Let c be ((-25)/(-10) + -3)*-4. Let n = -29 + 88/3. Factor -2/3 - n*a**c + a.
-(a - 2)*(a - 1)/3
Let i(t) = -2*t**3 - 8*t**2 + 2*t - 9. Let c be i(-5). Suppose 4*q - 2*d - 2*d + 8 = 0, 0 = -2*q - 5*d + c. Let 6*o**2 - 6 + 6*o - q*o**2 + o = 0. What is o?
-3, 2/3
Suppose -3/2*h - 7/4*h**2 + 3/2*h**3 + 2 - 1/4*h**4 = 0. What is h?
-1, 1, 2, 4
Suppose 2*k - 30 = 15*s, -3*k - s = -2*s - 2. Factor -2/7*f - 2/7*f**2 + k.
-2*f*(f + 1)/7
Let d = -17392 - -17394. Factor -4/9*o**4 + 0*o**3 + 0 + 2/9*o + 4/9*o**d - 2/9*o**5.
-2*o*(o - 1)*(o + 1)**3/9
Let d(w) be the second derivative of -w**6/105 - w**5/70 + w**4/21 + 62*w - 2. Find p, given that d(p) = 0.
-2, 0, 1
Let h(x) = -x - 3. Let k be h(-7). Suppose 8*t + k = 9*t. Let -6 + 14*y**t + 30*y**2 + 2 + 37*y + 38*y**3 - 35*y = 0. Calculate y.
-1, 2/7
Let p(r) be the third derivative of r**5/20 + r**4/8 - 10*r**3 - 44*r**2. Factor p(d).
3*(d - 4)*(d + 5)
Factor 420*n**3 + 84*n**5 - 79*n**5 - 1054*n**2 + 294*n**2 - 90*n**4 + 480*n.
5*n*(n - 12)*(n - 2)**3
Let -91*q**3 - 12*q - 46*q**2 + 43 + 18*q**4 - 27 + 95*q**3 - 4*q**5 = 0. What is q?
-1, 1/2, 2, 4
Let d be 28/32 + -1 - ((-2000)/128 - -15). Factor -1/4*p + 0 - 1/4*p**3 + d*p**2.
-p*(p - 1)**2/4
Let v(h) be the first derivative of 0*h - 1/3*h**2 + 12 + 2/9*h**3. Factor v(l).
2*l*(l - 1)/3
Let k(c) be the second derivative of -1/30*c**5 + 7/36*c**4 + 0 - 1/36*c**7 + 6*c + 11/36*c**3 - 4/45*c**6 + 1/6*c**2. Find d, given that k(d) = 0.
-1, -2/7, 1
Let m = 97 - 95. What is w in 40*w - 3*w**2 - 100 + 0*w**2 - w**m = 0?
5
Let w be (-5 + 5)/10*2/(3 - 1). Factor -1/5*x**3 + w*x - 1/5*x**4 + 1/5*x**5 + 0 + 1/5*x**2.
x**2*(x - 1)**2*(x + 1)/5
Let i(w) be the first derivative of -2*w**6/3 - 116*w**5/5 - 270*w**4 - 2800*w**3/3 + 2000*w**2 - 79. Find s such that i(s) = 0.
-10, 0, 1
Let y be 1*(-2 + (-8)/(-2)). Let 0*r**3 - r**3 + y*r**3 - 2*r**5 - 3*r**3 + 4*r**4 = 0. What is r?
0, 1
Let r(g) be the third derivative of g**7/140 + g**6/40 - g**5/40 - g**4/8 - 111*g**2. Factor r(t).
3*t*(t - 1)*(t + 1)*(t + 2)/2
Let u(t) be the first derivative of 85/3*t**3 - 46 - 20*t + 10*t**2 + 23*t**5 - 175/4*t**4 - 25/6*t**6. Suppose u(g) = 0. Calculate g.
-2/5, 1, 2
Let l = -332/33 - -118/11. Let t = -1/56 - -227/168. Factor 0 + t*b**2 + 0*b**3 - 4/3*b**4 + l*b**5 - 2/3*b.
2*b*(b - 1)**3*(b + 1)/3
Let b(q) = 9*q**2 - 78*q + 28. Let i(z) = -z**2 + z - 2. Let d(t) = b(t) + 5*i(t). Solve d(u) = 0.
1/4, 18
Factor 310*n**2 - 4*n**3 + 11 - 188*n - 11 - 118*n**2.
-4*n*(n - 47)*(n - 1)
Let t(f) be the second derivative of -f**4/36 - f**3/6 + 3*f**2 + 90*f + 1. Determine g so that t(g) = 0.
-6, 3
Let z be (26/4 + -2)*(19 + 849/(-45)). Suppose -6/5*l**3 + 0 + 0*l**4 + 3/5*l**5 + z*l + 0*l**2 = 0. Calculate l.
-1, 0, 1
Suppose -5*q + 4*b = -20, 4 = b - 1. Let m be 8/(-16)*q/(-7). Solve m*a**4 + 2/7*a**3 + 0*a**2 + 2/7*a**5 + 0*a + 0 = 0.
-1, 0
Let j(h) be the second derivative of 0*h**2 + 0 + 1/4*h**4 - 13*h - 9/4*h**5 + h**3. Determine p, given that j(p) = 0.
-1/3, 0, 2/5
Let m(w) be the first derivative of 0*w**2 + 4 - 7*w + 1/9*w**4 - 1/9*w**3 - 1/30*w**5. Let n(c) be the first derivative of m(c). Factor n(i).
-2*i*(i - 1)**2/3
Let k(v) be the first derivative of -v**3/3 - 3*v**2/2 + 3*v + 1. Let l be k(-3). Find d, given that d**l - 34 + 34 + d**2 - 2*d = 0.
-2, 0, 1
Factor 28*h**2 + 13*h**3 - 28*h**3 + 12*h**3 + 6*h**2 + 11*h**2.
-3*h**2*(h - 15)
Let b(d) be the first derivative of -28*d**5/5 - 39*d**4 - 92*d**3 - 98*d**2 - 48*d + 251. Suppose b(n) = 0. What is n?
-3, -1, -4/7
Let c(n) be the first derivative of 7*n**3/3 - 5*n**2 + 3*n - 14. Let k(z) = 6*z**2 - 9*z + 3. Let p(w) = -2*c(w) + 3*k(w). Factor p(x).
(x - 1)*(4*x - 3)
Let w(a) = -a**2 + 8*a - 5. Let s be w(1). Let k(l) be the third derivative of l**s + 0*l**3 + 0*l**4 + 1/420*l**5 + 0*l + 0. Factor k(d).
d**2/7
Let q = 1954 - 1950. Let n(r) be the second derivative of 1/50*r**5 + 5*r**3 + 0 + 1/2*r**q + 4*r + 25*r**2. Solve n(b) = 0 for b.
-5
Let f(i) be the second derivative of -1/20*i**6 + 1/4*i**2 + 1/12*i**4 - 17*i + 1/84*i**7 - 1/4*i**3 + 1/20*i**5 + 0. Suppose f(o) = 0. What is o?
-1, 1
Let j = -7/846 - -3419/4230. Determine i so that 2/5*i**2 - j*i + 0 = 0.
0, 2
Let t be (-16689)/(-72) - 221/1768. Determine r, given that -40/3*r**4 - t*r**2 + 950/3*r + 485/6*r**3 + 5/6*r**5 - 500/3 = 0.
2, 5
Suppose 0 = -0*f - 2*f - 6. Let l(h) = -h**2. Suppose 5*q = -8 + 3. Let z(g) = g**2 + 2. Let x(c) = f*l(c) + q*z(c). Suppose x(k) = 0. What is k?
-1, 1
Let r(l) be the third derivative of -l**6/60 + 4*l**5/5 - 15*l**4/4 + 22*l**3/3 - 120*l**2. Factor r(d).
-2*(d - 22)*(d - 1)**2
Let t(f) be the second derivative of 3/2*f**3 - 3/5*f**5 + 0*f**2 + 0 + 31*f - 11/4*f**4. Factor t(x).
-3*x*(x + 3)*(4*x - 1)
Let t(n) be the third derivative of -2*n**4 + 5 + 0*n + 1/30*n**5 + n**2 + 48*n**3. Find g, given that t(g) = 0.
12
Factor -12/5 - 68/5*o - 81/5*o**2 + 7*o**3.
(o - 3)*(5*o + 2)*(7*o + 2)/5
Let f(w) = 16*w**2 + w - 4. Let q = 28 - 17. Let k(z) = 3*z**2 - 1. Let o(v) = q*k(v) - 2*f(v). Solve o(t) = 0 for t.
-1, 3
Let d be 5 + (-2 - 4) + 103*-1. Let y be ((4/6)/1)/(d/(-39)). Determine f so that 1/2 - 1/4*f**3 + y*f - 1/2*f**2 = 0.
-2, -1, 1
Let y be 