-11*f - 45 - 12*f**2 + 17*f**2 - y*f = 0 for f.
-1, 9
Suppose 0*t = 4*t + 5*k + 9, -4*k + 36 = -4*t. Let z(f) = 2*f**2 - 3*f - 3. Let o(g) = -292*g + 145*g + 148*g - 1. Let b(n) = t*o(n) + 2*z(n). Factor b(s).
4*s*(s - 3)
Let r(b) be the second derivative of 1 + 1/44*b**4 + 51*b - 2/33*b**3 + 1/330*b**6 - 2/11*b**2 + 1/55*b**5. Factor r(f).
(f - 1)*(f + 1)*(f + 2)**2/11
Let c = 90 + -88. Factor -40*v + c*v**4 + 84*v + 2*v**3 + 3*v**2 - 46*v - 5*v**2.
2*v*(v - 1)*(v + 1)**2
Let d(q) = 4*q + 28. Let g be d(-7). Suppose g = -3*j - 15, 3*f + 19 = -5*j - 0. Factor -10*w - 42 + 71 - 44 + 5*w**f.
5*(w - 3)*(w + 1)
Let g(m) be the third derivative of 1/228*m**4 - 89*m**2 - 1/3192*m**8 + 0 + 0*m**6 + 0*m**3 + 0*m - 2/1995*m**7 + 1/285*m**5. Factor g(q).
-2*q*(q - 1)*(q + 1)**3/19
Factor -249 + 161*k**3 - 156*k**3 - 94*k**2 - 286*k**2 - 121 + 745*k.
5*(k - 74)*(k - 1)**2
Let d(o) = -19*o**2 + 1405*o + 20345. Let h(y) = 5*y**2 - 355*y - 5085. Let w(a) = 6*d(a) + 22*h(a). Factor w(r).
-4*(r - 170)*(r + 15)
Let b be 114/304 - 220/672. Let y(p) be the second derivative of 5*p - b*p**3 + 1/84*p**4 + 0 + 1/14*p**2. Solve y(u) = 0.
1
Suppose 237*v + 194*v - 61830 = -27*v. Solve -18*t + v + 3/5*t**2 = 0 for t.
15
Let o(p) be the second derivative of -96*p**3 - 1/10*p**6 + 91*p + 0 - p**4 + 9/5*p**5 - 384*p**2. Determine i so that o(i) = 0.
-2, 8
Let a(r) be the second derivative of 107*r**7/42 - 949*r**6/210 - 93*r**5/10 + 101*r**4/21 + 4*r**3/21 - 1267*r. Solve a(n) = 0.
-1, -2/107, 0, 2/7, 2
Let d(f) = f**3 + f**2 - 8*f. Let i be d(5). Let b = i + -101. Factor 8 + 22*h + 9*h + 2*h**3 - 2*h**4 + 18*h**2 - b*h.
-2*(h - 4)*(h + 1)**3
Let h = 22500 - 22498. Factor 1/2*a**4 + 11/2*a**h + 7/2*a**3 + 5/2*a + 0.
a*(a + 1)**2*(a + 5)/2
Let t(i) = i + 4. Let k = -15 + 13. Let p be t(k). Determine h so that 3*h**3 - 44*h**p + 76*h**2 - 35*h**2 = 0.
0, 1
Let r be (-8 + 1 - -7)*-1. Let i(x) be the second derivative of -1/170*x**5 + 0*x**2 + 1/51*x**4 + 1/17*x**3 + r + 2*x. Solve i(a) = 0 for a.
-1, 0, 3
Let b be 6/(22/14 - (-6)/14). Solve -55*q**3 + 218*q**2 + 98*q**4 + 8 - 72*q - 153*q**b - 44*q**3 = 0.
2/7, 1
Let p(v) be the second derivative of v**5/4 + 730*v**4/3 + 213160*v**3/3 + 7483*v. Factor p(f).
5*f*(f + 292)**2
Let b(m) be the first derivative of m**5/10 + 25*m**4/8 - 24*m**3 + 45*m**2 - 740. What is z in b(z) = 0?
-30, 0, 2, 3
Let j(h) be the first derivative of 2*h**7/21 - 2*h**5/5 + 2*h**3/3 - 78*h + 54. Let n(m) be the first derivative of j(m). Solve n(o) = 0 for o.
-1, 0, 1
Let i(u) be the first derivative of -110*u**3/27 + 53*u**2/9 + 4*u/9 - 1386. Solve i(z) = 0.
-2/55, 1
Solve 259*i + 251*i - 17*i**2 + i**3 + 228*i - 798*i = 0 for i.
-3, 0, 20
Let c(z) be the third derivative of -z**6/80 + z**5/8 - z**4/8 - 2*z**3 + 1450*z**2. Factor c(n).
-3*(n - 4)*(n - 2)*(n + 1)/2
Suppose 0 = -0*q - 7*q + 14. Let d(b) = b**2 - b. Let i be d(q). Find t, given that 16 - 4*t**i + 21*t - 4 - 13*t = 0.
-1, 3
Let l = -8/132695 - -106164/132695. Factor 68/5 - l*r**2 + 64/5*r.
-4*(r - 17)*(r + 1)/5
Find p such that 2*p**2 - 2424 - 246*p + 3828 + 0*p**2 = 0.
6, 117
Let c = -76 + 85. Suppose 0 = 3*d - 9, 2*d + 3 = -5*l + c. Factor l - 2/3*m**5 - 8/3*m**4 - 4/3*m**2 + 0*m - 10/3*m**3.
-2*m**2*(m + 1)**2*(m + 2)/3
Let x(s) be the second derivative of -5*s**4/12 - 1405*s**3/3 - 394805*s**2/2 + 864*s. Factor x(k).
-5*(k + 281)**2
Let v(j) be the third derivative of 29/6*j**3 + 0 + 115/24*j**4 - 10*j**2 - 1/15*j**5 - 6*j. Solve v(c) = 0 for c.
-1/4, 29
Let b(c) be the third derivative of c**8/672 + c**7/35 + 7*c**6/40 + c**5/6 - 25*c**4/16 - 9637*c**2. Factor b(t).
t*(t - 1)*(t + 3)*(t + 5)**2/2
Let f(k) = 1799*k + 405007. Let a(x) = -2*x**2 - x + 7. Let g(l) = 2*a(l) - 2*f(l). Factor g(p).
-4*(p + 450)**2
Let r be (-2303)/(-141) - (-2)/(-6). Find a, given that r*a - 5 - 5*a**4 + 10*a - 26*a + 10*a**2 = 0.
-1, 1
Let z = -110991 - -776939/7. Let h be (-3 + 9)*2/21. Suppose -2/7*c**3 - z*c**4 + h + 6/7*c**2 + 10/7*c = 0. Calculate c.
-1, 2
Suppose -7 = -2*v - i, -428*i = -3*v - 430*i + 9. Factor 7/3*y**3 - 2/3 - v*y - 2*y**2.
(y - 2)*(y + 1)*(7*y + 1)/3
Suppose -4*u + 128 = -h, 2*u + 5*h = 3*h + 64. Let d = 35 - u. Factor -5 + 11*c - 12*c**d - c + 5*c**4 + 2*c**3.
5*(c - 1)**3*(c + 1)
Suppose 444*t - 162*t = 0. Factor -2/5*u**4 + 0*u**2 + 2/5*u**3 + t + 0*u.
-2*u**3*(u - 1)/5
Let k be ((-1)/6)/(2194870/274360 + 1 + -9). Factor -608*z - k*z**3 - 128/3 - 2888*z**2.
-2*(19*z + 4)**3/3
Let l(a) be the first derivative of a**6/120 + 4*a**5/15 + 5*a**4/8 + 2*a**2 + 6*a - 11. Let q(v) be the second derivative of l(v). Factor q(y).
y*(y + 1)*(y + 15)
Let a(k) be the second derivative of -1/32*k**4 - 16*k - 1/8*k**3 + 1 + 1/2*k**2 + 1/160*k**5. Solve a(z) = 0 for z.
-2, 1, 4
Suppose 1460*o = 1408*o + 104. Find c such that 2/3*c**o - 2*c + 0 = 0.
0, 3
Factor 42719 - 2*o**2 + 40123 - 1248*o - 14536 + 5*o**2 + 61486.
3*(o - 208)**2
Let t(q) be the second derivative of q**4/16 - 281*q**3/4 + 236883*q**2/8 - 4*q + 26. Find x such that t(x) = 0.
281
Let s be 2 + (7 - 18) + 9*1. Let u(p) be the third derivative of 14*p**2 - 1/135*p**5 + s + 0*p - 8/9*p**3 - 1/540*p**6 + 5/27*p**4. Solve u(x) = 0.
-6, 2
Factor 2/9*m**3 + 418/9*m + 968/9 + 52/9*m**2.
2*(m + 4)*(m + 11)**2/9
Let t(d) = 11*d**3 - d**2 - 16*d - 124. Let f(b) = -9*b**3 + 15*b + 98. Let m(p) = 5*f(p) + 4*t(p). Factor m(z).
-(z - 1)**2*(z + 6)
Let h(m) = 21*m**3 - 4012*m**2 - 5306700*m - 2352636978. Let f(t) = 2*t**3 - 2*t**2 + 2. Let b(r) = -33*f(r) + 3*h(r). Determine w so that b(w) = 0.
-1330
Let a(u) be the second derivative of -6*u**2 + 135*u - 2 + 1/20*u**5 + 1/2*u**4 + 5/6*u**3. Find q, given that a(q) = 0.
-4, -3, 1
Let s(w) be the third derivative of w**5/12 - 345*w**4/8 + 1025*w**3/3 + 8*w**2 - 83. Determine n so that s(n) = 0.
2, 205
Let c(h) be the third derivative of 2*h**7/315 + h**6/6 - 4*h**5/45 - 10*h**4/3 - 8921*h**2. Let c(q) = 0. What is q?
-15, -2, 0, 2
Let u(i) = i**2 - 12*i + 18. Let y(g) = -g - 2 + 4*g + g - 4. Let x(s) = -2*u(s) - 7*y(s). Find d such that x(d) = 0.
-3, 1
Determine h so that -7*h**4 + 288*h + 6*h**4 + 1931*h**2 - 2*h**3 - 92*h**3 - 1736*h**2 = 0.
-96, -1, 0, 3
Let c = -56 - -37. Let n = c - -22. Find h such that -4*h + n*h**2 + 11 + 1 - 11*h = 0.
1, 4
Let m = 14109 - 14107. Factor 2*d - 1/4*d**m - 3.
-(d - 6)*(d - 2)/4
Let z(u) be the second derivative of 2*u**7/21 + 4*u**6/5 + 9*u**5/5 + 4*u**4/3 + 1165*u. Suppose z(g) = 0. What is g?
-4, -1, 0
Let d(x) be the second derivative of x**4/38 - 3077*x**3/57 - 54*x**2 - 4064*x. Suppose d(t) = 0. Calculate t.
-1/3, 1026
Let o(a) = 166*a + 7638. Let p be o(-46). Let v(q) be the third derivative of -1/10*q**5 - 13*q**p + 0*q + 0 - 1/60*q**6 - 5/3*q**3 + 3/4*q**4. Factor v(m).
-2*(m - 1)**2*(m + 5)
Let i(t) = t**2 - 204*t - 410. Let u be i(-2). Suppose -1 - 1/2*y**u + 3/2*y = 0. What is y?
1, 2
Let n be ((-15)/150*(-5 - 10))/((-2)/(-4)). Let j(o) = -o + 7. Let d be j(5). Factor 1/7*z**n + 27/7*z - 27/7 - 9/7*z**d.
(z - 3)**3/7
Let k be 213/12 - (3 - 39/12). Let v(z) = 15*z + 0 - 36 + k*z - 39*z - 7*z**2. Let y(c) = -c**2 + c. Let o(r) = 5*v(r) - 30*y(r). Determine s so that o(s) = 0.
-6
Let j(x) be the first derivative of -5*x**6/18 + 2*x**5/3 + 35*x**4/12 + 20*x**3/9 - 693. Suppose j(q) = 0. What is q?
-1, 0, 4
Factor -5/6*r**2 + 1865/2*r + 5605/3.
-5*(r - 1121)*(r + 2)/6
Determine a so that 1990*a**3 - 132*a**5 + 18 - 8*a + 460*a**2 - 637*a**5 - 1335*a**4 - 338*a**5 - 18 = 0.
-2, -2/9, 0, 2/123, 1
Suppose 0 = 69*j - 63*j - 18. Suppose 0 = 5*k + m - 27, 4*m - 2*m + 6 = 2*k. Factor -54*h + j + 2*h + k - 56*h**3 + 100*h**2.
-4*(h - 1)*(2*h - 1)*(7*h - 2)
Let m(v) = 2*v**3 + 830*v**2 + 89042*v + 14. Let d(z) = 2*z**3 + 832*z**2 + 89042*z + 12. Let u(b) = -7*d(b) + 6*m(b). Let u(p) = 0. Calculate p.
-211, 0
Let n be 25*3/21 + (-4)/7. Find d such that -3*d**3 - 4*d - 2*d**n - 3*d - 10*d**2 + 2*d = 0.
-1, 0
Let i = 826 + -1358. Let t = 580 + i. Find y such that t + 8*y + 1/3*y**2 = 0.
-12
Let o(t) be the third derivative of t**5/20 - 132*t**4 + 139392*t**3 + 911*t**2. Factor o(h).
3*(h - 528)**2
Let n(u) be the second derivative of u**6/105 - u**4/14 - 2*u**3/21 + 738*u. Factor n(a).
2*a*(a - 2)*(a + 1)**2/7
Let o = 4 + -2. Let b be 0 - 7*24/(-56). Solve -1