*3 + p*u**2 - 36*u - 24*u**2.
3*(u - 1)**2*(u + 3)**2
Suppose -5 = 73*u - 102 - 49. Factor -3/2*y**u + 0 + 3/4*y + 3/4*y**3.
3*y*(y - 1)**2/4
Suppose 32/3*v**2 + 196/3 - 154/3*v - 2/3*v**3 = 0. Calculate v.
2, 7
Let d(m) = -9*m**5 - m**4 - 2*m**3 + 6*m**2 - 5*m - 5. Let j(c) = 7*c**5 + 2*c**4 + c**3 - 7*c**2 + 4*c + 5. Let o(x) = -3*d(x) - 4*j(x). Factor o(w).
-(w - 1)**2*(w + 1)**2*(w + 5)
Let o be ((-5)/5)/((-5)/2 - -4 - 2). Factor 2/3*s**o - 4 + 2/3*s.
2*(s - 2)*(s + 3)/3
Suppose 0 = 1395*t - 1396*t. Let v(r) be the second derivative of -7*r + 2/3*r**4 + 0*r**2 - 9/5*r**5 + 0 + 8/15*r**6 + t*r**3. Factor v(l).
4*l**2*(l - 2)*(4*l - 1)
Let k(b) be the third derivative of 10 + 0*b**3 - 9/140*b**5 + 2*b**2 + 0*b + 1/28*b**4. Suppose k(j) = 0. Calculate j.
0, 2/9
Let d(h) be the second derivative of h**6/90 - h**5/15 - h**4/2 - 11*h**3/6 - 8*h. Let a(v) be the second derivative of d(v). Find i, given that a(i) = 0.
-1, 3
Suppose -16*f**4 - 46*f - 68*f**2 + 873 - 48*f**3 + 887 - 1772 - 2*f**5 = 0. What is f?
-3, -2, -1
Let n be (-2)/(-12) + 196/24 + -4. Let o = -11/3 + n. Determine z so that 0 - 2*z**3 + 2*z**2 - 2/3*z + o*z**4 = 0.
0, 1
Let b(z) = -2*z**2 + 2*z - 4. Let m(c) = 2*c**2 - 3*c + 3. Let p = 5 + -8. Let d(v) = p*b(v) - 4*m(v). Suppose d(t) = 0. What is t?
0, 3
Let b(w) = w + 7. Let i(l) = -4*l**2 + 2*l + 1. Let j be i(-1). Let y be b(j). Factor 2*u**2 + 2*u**2 - u**y - 3*u.
3*u*(u - 1)
Let b(c) be the first derivative of -c**3 + 38*c**2/3 - 32*c/3 + 353. Factor b(t).
-(t - 8)*(9*t - 4)/3
Factor -38/13*l + 168/13 + 2/13*l**2.
2*(l - 12)*(l - 7)/13
Let w = -111 + 60. Let b = w + 56. Factor 2/19*s**b - 10/19*s**4 + 20/19*s**3 - 2/19 - 20/19*s**2 + 10/19*s.
2*(s - 1)**5/19
Let o(w) be the second derivative of 1/12*w**3 - 15*w - 1/120*w**6 + 1/8*w**2 - 1/40*w**5 + 0 + 0*w**4. What is f in o(f) = 0?
-1, 1
Factor 3321 - 160*m + m**2 + 3118 - 39.
(m - 80)**2
Let m(l) = 3*l**2. Suppose -5*r - 2 = -u, -2*r + 4 + 2 = 3*u. Let z be m(u). Factor 0*j**2 + j**3 + z*j**2 - 10*j**2 + 0*j**3 - j**4.
-j**2*(j - 2)*(j + 1)
Let m = -1198 + 1204. Let t(o) be the third derivative of 9/55*o**5 + 0*o + 7*o**2 + 0 - 32/33*o**3 + 8/11*o**4 + 7/660*o**m. Let t(u) = 0. Calculate u.
-4, 2/7
Let y be (-16)/28 - (-505)/(-35). Let f = 18 + y. Find r, given that 0*r + 0 + 0*r**f - 1/4*r**2 + 1/4*r**4 = 0.
-1, 0, 1
Let c(h) be the second derivative of h**6/150 - h**5/5 + 21*h**4/10 - 98*h**3/15 - 343*h**2/10 - 4*h - 20. Find x such that c(x) = 0.
-1, 7
Let m(p) be the second derivative of p**7/14 + p**6/2 + 3*p**5/4 - 5*p**4/4 - 3*p**3 + 34*p. Solve m(g) = 0.
-3, -2, -1, 0, 1
Let y(g) be the first derivative of g**6/180 - g**4/12 - 5*g**3/3 - 15. Let k(o) be the third derivative of y(o). Determine f so that k(f) = 0.
-1, 1
Let y(g) be the third derivative of g**6/300 - g**5/50 - g**4/15 + 4*g**3/5 + 51*g**2. Solve y(v) = 0.
-2, 2, 3
Factor 6*q**3 - 2*q - 3 - 12*q**3 - q**4 - 12*q**2 + 12*q**3 + 12*q.
-(q - 3)*(q - 1)**3
Let a(x) = -6*x**2 - 212*x - 5610. Let f(p) = -7*p**2 - 212*p - 5608. Let j(k) = -5*a(k) + 4*f(k). Suppose j(h) = 0. Calculate h.
-53
Suppose 3 = 10*i - 27. Factor 6*q**3 + q**2 - i*q**2 + 2 - 16*q - 10.
2*(q - 2)*(q + 1)*(3*q + 2)
Let i = -30 + 28. Let j be (-279)/(-162) + 3/i. Solve 0*g**2 + j*g**3 + 0 - 2/9*g = 0 for g.
-1, 0, 1
Let q be (-92)/(-24) + ((-2)/(-1) - (-1 - -6)). Find s, given that -5/6*s + 5/6*s**2 - q + 5/6*s**3 = 0.
-1, 1
Let y be (-56)/(-7)*1/4. Factor -2 + t**2 + 2*t**2 - y*t**2 + 0*t**2 - t.
(t - 2)*(t + 1)
Let k(z) be the first derivative of -z**5/4 + 5*z**4/12 - 8*z + 12. Let c(o) be the first derivative of k(o). What is l in c(l) = 0?
0, 1
Let k(l) be the third derivative of -l**6/300 - l**5/25 + 3*l**4/5 - 8*l**3/3 - 45*l**2 + 6. Factor k(h).
-2*(h - 2)**2*(h + 10)/5
Suppose 3 = -x - 1. Let u = x - -9. Factor -10*q**3 + 3*q**u - 6*q**2 - 3*q**3 + 4*q**3.
3*q**2*(q - 2)*(q + 1)**2
Factor 15/4*a - 3/2 + 3/4*a**3 - 3*a**2.
3*(a - 2)*(a - 1)**2/4
Let s(o) be the first derivative of -o**4/60 + 2*o**2/5 - 53*o + 8. Let i(v) be the first derivative of s(v). Factor i(q).
-(q - 2)*(q + 2)/5
Let i(t) be the second derivative of 5*t**4/4 - 1570*t**3/3 - 1050*t**2 - 2*t - 1. Suppose i(f) = 0. What is f?
-2/3, 210
Let j(l) = 2*l**3 + l. Let p(t) = -14*t**3 + 4*t**2 - 30*t - 24. Let q(g) = -8*j(g) - p(g). Factor q(m).
-2*(m - 3)*(m + 1)*(m + 4)
Let b(z) be the first derivative of -5/12*z**4 - 5/2*z**3 + 14*z - 5*z**2 + 12. Let c(q) be the first derivative of b(q). Factor c(y).
-5*(y + 1)*(y + 2)
Let q(p) be the first derivative of -p**6/60 + p**5/15 + 7*p**4/12 + 4*p**3/3 + 12*p**2 - 19. Let j(t) be the second derivative of q(t). Solve j(n) = 0.
-1, 4
Suppose 3*t + i - 17 = 0, -3*t + 33 = 4*i + 1. Suppose 0*d = 3*m - 5*d + t, -3*m = -3*d. Suppose 2 - m*c**4 + 12*c - 5*c**3 - 8*c + c**3 = 0. What is c?
-1, 1
Factor -8*z + 106*z**2 - 6 - z + 105*z**2 - 214*z**2.
-3*(z + 1)*(z + 2)
Let y(g) = -720*g + 43923. Let m(i) = i**2 - 722*i + 43923. Let q(f) = -3*m(f) + 2*y(f). Suppose q(h) = 0. What is h?
121
Solve -26/15*n + 8/5 + 2/15*n**2 = 0 for n.
1, 12
Let q be 164/(-1558) - (-40)/19. Determine f, given that 0 + 3/2*f**4 + 15/2*f**q - 3*f - 6*f**3 = 0.
0, 1, 2
Let p(d) = -d**3 + 25*d**2 - 146*d - 127. Let o be p(13). Solve 2/5*b**2 + 2/5*b**o - 2/5*b**5 - 2/5*b**4 + 0 + 0*b = 0 for b.
-1, 0, 1
Let k(j) be the third derivative of 1/20*j**4 - 1/300*j**5 + 0*j - 3/10*j**3 + 0 + 14*j**2. Factor k(m).
-(m - 3)**2/5
Solve -8/5*r**2 + 0*r - 1/5*r**3 + 1/5*r**5 + 8/5*r**4 + 0 = 0 for r.
-8, -1, 0, 1
Let r(d) be the first derivative of -5*d**4/4 - 55*d**3/3 - 65*d**2 - 80*d + 131. What is w in r(w) = 0?
-8, -2, -1
Let l(b) = b**3 + 3*b**2 - 4*b - 4. Let z be l(-3). Suppose -4*x**5 - 4*x + 5 - 14*x**2 + 3 - 5*x**2 + 3*x**2 + z*x**3 + 8*x**4 = 0. Calculate x.
-1, 1, 2
Suppose -2*h - 2*f = f - 49, 4*h = f + 133. Let u be -16 + 12 - h/(-6). Solve -u*p - 4/3*p**2 + 0 = 0.
-1, 0
Let d(r) be the third derivative of r**7/1785 - r**6/340 - r**5/510 + r**4/68 - 88*r**2. Let d(b) = 0. What is b?
-1, 0, 1, 3
Let d be 6*(-4)/(-12)*1. What is w in -5*w**4 - 2*w**3 + 5*w**4 + d*w**4 = 0?
0, 1
Let r(s) be the second derivative of -s**6/165 + s**5/110 + s**4/33 + 2*s + 1. Determine q so that r(q) = 0.
-1, 0, 2
Let y(q) be the second derivative of -q**5/70 - 13*q**4/42 + 3*q**3/7 + 405*q**2/7 + 653*q. Find l, given that y(l) = 0.
-9, 5
Let n(m) be the second derivative of -m**6/45 + m**5/12 + m**4/8 - 22*m**3/3 - m - 44. Let s(y) be the second derivative of n(y). Let s(i) = 0. What is i?
-1/4, 3/2
Let j(i) be the second derivative of i**7/2100 + i**6/225 - 5*i**3/2 - 14*i. Let s(t) be the second derivative of j(t). Factor s(p).
2*p**2*(p + 4)/5
Let s = 1515 - 1511. Let v(x) be the third derivative of s*x**2 + 10/3*x**3 + 0 + 5/6*x**4 + 0*x + 1/12*x**5. Let v(y) = 0. What is y?
-2
Let w be 23/((-2)/(-3) + (-10)/(-30)). Determine h, given that 0*h**2 - 3*h**5 - 10*h**4 + 9*h**2 + h**2 + 11*h**3 + w*h - 31*h = 0.
-4, -1, 0, 2/3, 1
Suppose 0 = -3*a + 4*h + 16 - 80, -3*a + 5*h - 59 = 0. Let s be (12/a)/((-3)/2). Factor -s*y**3 + 0 + 0*y - 2/7*y**2.
-2*y**2*(y + 1)/7
Let w = 1600 + -4906/3. Let p = w - -38. Let 0 - p*l**2 + 0*l + 4*l**3 - 4/3*l**4 = 0. What is l?
0, 1, 2
Let a(r) be the third derivative of -13*r**2 + 5/72*r**4 + 0 + 0*r + 0*r**3 - 1/36*r**5. Factor a(i).
-5*i*(i - 1)/3
What is f in -22*f + 11*f**4 + 322*f - 57*f**3 + 215*f**2 - 17*f**4 - 23*f**3 + 11*f**4 = 0?
-1, 0, 5, 12
Let p(a) be the second derivative of -a**5/80 + 13*a**4/48 - 2*a**3 + 9*a**2/2 - 2*a. Factor p(k).
-(k - 6)**2*(k - 1)/4
Find r, given that -1/2*r**3 - 1 + 1/2*r + r**2 = 0.
-1, 1, 2
Let p(c) be the first derivative of c**8/105 - c**7/15 + 11*c**6/120 + 7*c**5/30 + c**4/6 - 5*c**3 + 20. Let y(o) be the third derivative of p(o). Factor y(q).
(q - 2)**2*(4*q + 1)**2
Let z = -118 - -106. Let g(l) = l**3 + 11*l**2 - 14*l - 24. Let u be g(z). Factor 0 - 68/5*p**3 - 64/5*p**5 + u*p - 32*p**4 - 8/5*p**2.
-4*p**2*(p + 2)*(4*p + 1)**2/5
Let h be (3 + (-12)/8*-2)/2. Suppose 6 = k - 4*q, h*k + q + 2*q - 3 = 0. Suppose 2/19*r**5 + 4/19 - 8/19*r**k - 4/19*r**3 + 2/19*r + 4/19*r**4 = 0. What is r?
-2, -1, 1
What is c in 3*c**5 - 561 + 64*c**3 - 700*c + c**5 - 89*c**2 - 87*c**2 + 56*c**4 + 169 + 120*c*