-26*h**3 - 75*h**2 - 56*h. Let d(q) = -r(q) + s(q). Suppose d(a) = 0. What is a?
-28/13, -1, 0
Let s = -109 - -121. Suppose 20*v - 14*v - s = 0. Factor -22*p**2 + 2*p**5 + 39*p**2 + v*p**4 - 19*p**2 - 2*p**3.
2*p**2*(p - 1)*(p + 1)**2
Let v(b) be the third derivative of b**5/40 - 523*b**4/4 + 3849*b**2 + b. Solve v(l) = 0 for l.
0, 2092
Let a(y) be the third derivative of 16/3*y**3 + 2/3*y**4 + 10 + 1/60*y**6 + 0*y - 7/30*y**5 + 3*y**2. Factor a(r).
2*(r - 4)**2*(r + 1)
Let w(s) be the third derivative of s**5/150 - 19*s**4/60 + 28*s**3/5 + 973*s**2. Factor w(p).
2*(p - 12)*(p - 7)/5
Factor -1/4*q**3 + 147/4 - 91/4*q + 17/4*q**2.
-(q - 7)**2*(q - 3)/4
Suppose 2*k - 280 = -18*k. Factor 26*n**3 - k*n**3 + n**4 - 25*n**3.
n**3*(n - 13)
Let i(d) be the first derivative of -d**4/20 - 11*d**3/3 + 28*d**2/5 - 1546. Factor i(j).
-j*(j - 1)*(j + 56)/5
Let v(w) be the first derivative of -5*w**6/6 + 2*w**5 + 15*w**4 - 200*w**3/3 + 80*w**2 + 778. Factor v(m).
-5*m*(m - 2)**3*(m + 4)
Let s = -880082 - -880084. Factor -2*t**s + 127/2*t + 16.
-(t - 32)*(4*t + 1)/2
Solve 6/11*z**2 - 2/11*z**3 - 2430/11 + 378/11*z = 0.
-15, 9
Let p(s) be the first derivative of s**4 - 49*s**3 + 107*s**2/2 + 36*s + 10600. Solve p(a) = 0.
-1/4, 1, 36
Factor 300/17*t**2 + 784 - 3906/17*t - 2/17*t**3.
-2*(t - 136)*(t - 7)**2/17
Suppose 2 = -4*x + 3*n, -n - 1 = -3*x - 0. Let s = 15 - 6. Factor -9*d**2 - s*d**4 + 9*d - 21*d**3 - x + 0*d**2 + 7.
-3*(d + 1)**3*(3*d - 2)
Suppose -11 = -6*r + 19. Factor 4*c + r*c**3 + 7*c**3 - 26*c**3 + 13*c**3 - 6 + 13*c**2 - 46.
-(c - 13)*(c - 2)*(c + 2)
Let l(q) be the first derivative of -3*q**5/5 + 9*q**4 - 35*q**3 + 36*q**2 - 102. Factor l(s).
-3*s*(s - 8)*(s - 3)*(s - 1)
Suppose 0*u = 3*u + 5*o + 94, -4*u = -o + 156. Let g be (u - 10)/(4/(-6)). Find n such that 2*n**2 + 3*n + g - 5*n - 76 = 0.
-1, 2
Determine n so that 475/4*n**3 + 5/4 + 45/4*n - 105/2*n**4 - 315/4*n**2 = 0.
-1/14, 1/3, 1
Let k be (533/52 - 10)*(-82)/(-3) + -6. Let w(p) be the first derivative of -9 + 4/9*p**3 - 1/12*p**4 + 2/3*p - k*p**2. Let w(j) = 0. What is j?
1, 2
Let u = 105/68 + -3133/2040. Let f(g) be the third derivative of 0*g - u*g**5 + 0 - 1/24*g**4 + 7*g**2 - 1/12*g**3. Find x such that f(x) = 0.
-1
Let w(d) be the second derivative of d**4/4 + 258*d**3 + 99846*d**2 + 1075*d. Find b, given that w(b) = 0.
-258
Factor 0 + 0*u + 2/7*u**5 + 62/7*u**4 + 470/7*u**3 + 150*u**2.
2*u**2*(u + 5)**2*(u + 21)/7
Let b(d) be the second derivative of -d**5/110 - 73*d**4/66 + 76*d**3/11 + 1562*d. Factor b(p).
-2*p*(p - 3)*(p + 76)/11
Let b(w) = 23*w**2 - 10*w - 13. Let q(u) = 7*u + 6 - 2*u - 85*u**2 + 74*u**2. Let r(n) = -6*b(n) - 13*q(n). Suppose r(m) = 0. Calculate m.
0, 1
Let u(n) be the second derivative of 108241*n**4/3 + 1316*n**3 + 18*n**2 + 152*n. Factor u(o).
4*(329*o + 3)**2
Let x(b) be the third derivative of -1/360*b**6 + 0*b - 1/180*b**5 + 1/18*b**3 + 1/72*b**4 - 1 - b**2. Solve x(m) = 0.
-1, 1
Let j be ((-672)/(-560))/(97/(-100) - -1). Let a be 4/(j/7 - 4/(-14)). Let 10/3*q**2 + 8/3*q**4 + 16/3*q**3 + a*q + 0 = 0. What is q?
-1, -1/2, 0
Suppose 2*j - 21 = 5*v, 3*j = 2*v + 75 - 38. Suppose -o = 3*b - 12, j*b - 6 = -3*o + 14*b. Factor 4/7*c + 2/7*c**2 + 0 - 2/7*c**o.
-2*c*(c - 2)*(c + 1)/7
Factor 1/6*t**3 - 253/6*t**2 + 0 - 127/3*t.
t*(t - 254)*(t + 1)/6
Let p(v) be the third derivative of -v**7/70 - v**6/5 - 23*v**5/20 - 7*v**4/2 - 6*v**3 - 23*v**2 - 50. Let p(u) = 0. What is u?
-3, -2, -1
Let s be 30 - 20 - (-1 + 8). Let a(y) be the first derivative of 2/9*y**s - 2/3*y**2 - 6 - 2*y. Let a(b) = 0. What is b?
-1, 3
Let y(g) be the third derivative of 69*g**2 + 0*g + 0 + 1/330*g**5 + 14/33*g**3 - 5/44*g**4. Find n such that y(n) = 0.
1, 14
Let p(u) be the third derivative of -u**6/140 + 17*u**5/70 + 9*u**4/14 + 604*u**2. Factor p(l).
-6*l*(l - 18)*(l + 1)/7
Let d(k) be the second derivative of k**8/2940 + 13*k**7/1470 - k**6/21 + 7*k**3/2 - k**2/2 + 57*k + 2. Let h(c) be the second derivative of d(c). Factor h(z).
4*z**2*(z - 2)*(z + 15)/7
Suppose 7*d + 18*d - 2375 = 0. What is p in -4*p + 37*p - d*p**2 + 98*p**2 + 90 = 0?
-6, -5
Let m be 41/(-369) - (-115)/225. Solve -2/5*s**3 + m*s + 2/5 - 2/5*s**2 = 0.
-1, 1
Find i such that 8*i**4 + 0 + 2/3*i**5 + 12*i**2 + 0*i + 58/3*i**3 = 0.
-9, -2, -1, 0
Let t(x) be the first derivative of 2*x**4 - 1124*x**3/3 - 850*x**2 - 568*x + 2289. Suppose t(n) = 0. Calculate n.
-1, -1/2, 142
Let h(i) be the second derivative of -1/63*i**7 + 0*i**3 + 13/45*i**6 + 0*i**5 + 6 + 6*i + 0*i**4 + 0*i**2. Solve h(u) = 0.
0, 13
Factor 58/7*m + 108/7 + 2/7*m**2.
2*(m + 2)*(m + 27)/7
Let z(x) be the third derivative of -x**6/2520 - 11*x**5/420 - x**4/8 + 131*x**3/3 + 163*x**2. Let w(c) be the first derivative of z(c). Factor w(d).
-(d + 1)*(d + 21)/7
Let q(g) be the first derivative of -3*g**2/2 - 3*g - 5. Let l be q(-2). Factor c**2 + 4*c**3 - 4*c**3 - c**3 + c**4 + 3*c**l.
c**2*(c + 1)**2
Factor -3/2*k**4 - 963/2*k**2 - 51*k**3 - 384 - 816*k.
-3*(k + 1)**2*(k + 16)**2/2
Suppose -5*p + 19 = -0*p - j, 0 = p - 2*j - 11. Suppose 3*v + 9 = 5*b, p*b - 4*b + 9 = -3*v. Determine r, given that -6*r + b*r**2 - 3 - r**2 - 2*r**2 = 0.
-1
Find a such that 7744 + 8784*a + 843 - 4*a**3 + 2184*a**2 - 2128 + 2341 + 0*a**3 = 0.
-2, 550
Let d(z) = 5*z**2 - 110*z - 4. Let t(k) = -1. Let h(v) = -10. Let i(j) = -h(j) + 8*t(j). Let n(g) = -d(g) - 2*i(g). Factor n(x).
-5*x*(x - 22)
Let u = -92224 + 92226. Factor 2*z - 20/3 + 2/3*z**u.
2*(z - 2)*(z + 5)/3
Let y = -25422 - -25424. Let n(r) be the first derivative of -8/11*r**y - 2/33*r**3 - 32/11*r + 31. Factor n(c).
-2*(c + 4)**2/11
Let f = 151035 + -151035. Find w such that 0*w**2 + 0*w + f - 2/3*w**3 = 0.
0
Let r(w) = 51*w**2 + 68*w - 4566. Let k(a) = 125*a**2 + 135*a - 9135. Let h(n) = -2*k(n) + 5*r(n). Factor h(u).
5*(u - 24)*(u + 38)
Let f(h) be the first derivative of h**5/25 + 3*h**4/20 - 14*h**3/5 + 10*h**2 - 72*h/5 - 1754. Solve f(g) = 0.
-9, 2
Let q(m) be the second derivative of -15*m**2 + 1/4*m**5 + 2 - 35/12*m**4 + 1/6*m**6 - 12*m - 65/6*m**3. Determine x so that q(x) = 0.
-2, -1, 3
Let o = 116249/10 - 41669879/3585. Let g = o - 2/717. Factor 0*d + 6*d**2 + 3*d**4 - 21/2*d**3 + 0 + g*d**5.
3*d**2*(d - 1)**2*(d + 4)/2
Factor 120/7*g**2 - 4/7*g**4 - 4*g**3 + 0 + 0*g.
-4*g**2*(g - 3)*(g + 10)/7
Let a(g) = 2*g**3 - 44*g**2 - 106*g - 4. Let k(m) = 3*m**3 - 45*m**2 - 107*m - 5. Let i(h) = 5*a(h) - 4*k(h). Factor i(s).
-2*s*(s + 3)*(s + 17)
Let o be (-2 + 9/6)*1*-6212. Suppose 3*n + 3*h - 6206 = -n, -2*n - 3*h + o = 0. Factor -45*g**3 - 1550 - 5*g**5 - 10*g + 35*g**2 + n + 25*g**4.
-5*g*(g - 2)*(g - 1)**3
Let d = 428 - 9381/22. Let p = d + -12/11. Solve p + 1/4*y**5 - 1/2*y**3 + 1/4*y - y**2 + 1/2*y**4 = 0.
-2, -1, 1
Suppose 7*h + 15 = 8*o + 12*h, 2*o - h = 15. Let y(c) be the second derivative of -c + 0 + 2/3*c**2 + 1/90*c**o + 1/9*c**4 + 11/27*c**3. What is k in y(k) = 0?
-3, -2, -1
Let y = -126 - -257/2. Suppose 2*r - j - 17 = 0, 64 = 4*r - j + 35. Factor 4*g - 9*g**3 + r*g**2 + 0 + y*g**4.
g*(g - 2)**2*(5*g + 2)/2
Suppose 2*x - 9 = 5*i, -635*x + 636*x + 3*i + 1 = 0. Let k(d) be the second derivative of 0*d**3 + 1/110*d**5 + 12*d + 0*d**x + 0 + 1/22*d**4. Factor k(m).
2*m**2*(m + 3)/11
Let f(y) be the first derivative of y**6/360 - 9*y**5/280 + 5*y**4/42 + 23*y**3/3 - 152. Let a(i) be the third derivative of f(i). Find p, given that a(p) = 0.
1, 20/7
Let i(g) be the third derivative of -2*g**7/105 - g**6/15 + 64*g**5/15 + 145*g**4/3 + 150*g**3 + 3*g**2 + 9. Factor i(v).
-4*(v - 9)*(v + 1)*(v + 5)**2
Let f = 440 - 435. Let j(m) be the first derivative of 1/7*m**3 - 1/35*m**f - 1/14*m**4 - 4 + 2/7*m**2 - 4/7*m. Factor j(k).
-(k - 1)**2*(k + 2)**2/7
Let x = 194 - 154. Suppose -35*v + x = -15*v. Suppose -4/9*n**v + 0 + 4/9*n**4 + 0*n + 2*n**3 - 2*n**5 = 0. Calculate n.
-1, 0, 2/9, 1
Let r = 86/1033 - -1636/5165. Let r*g**2 + 1/5 + 3/5*g = 0. What is g?
-1, -1/2
Let -156*y**2 - 35*y**3 - 46*y**2 - 36 - 32*y**3 - 162 + 398*y + 69*y**3 = 0. Calculate y.
1, 99
Let g(i) be the first derivative of 3*i**5/10 + 9*i**4/2 + 10*i**3 - 72*i**2 - 7394. Factor g(v).
3*v*(v - 2)*(v + 6)*(v + 8)/2
Factor 608/7*z - 2*z**2 - 2944/7 - 2/7*z**3.
-2*(z - 8)**2*(z + 23)/7
Let z be -2*(-8)/(-32) + 3. Let y = 25/6 - z. Find b such that 1