*k - 6/7*t**3 - 4/7 + 6/7*t.
2*(t - 2)*(t - 1)**2*(t + 1)/7
Let f(k) be the third derivative of 0*k**3 + 7/240*k**6 - 4*k**2 + 0 + 0*k + 1/60*k**5 + 0*k**4. Factor f(z).
z**2*(7*z + 2)/2
Let g(f) = 2*f + 18. Let s = 15 - 23. Let y be g(s). Let b(v) = 6*v**2 - 8*v - 2. Let x(o) = -o - 1. Let l(h) = y*b(h) + 4*x(h). Suppose l(q) = 0. Calculate q.
-1/3, 2
Determine r, given that -3/5*r**2 + 0*r + 0 - r**4 - 3/5*r**5 + 11/5*r**3 = 0.
-3, 0, 1/3, 1
Let z(j) be the first derivative of 2*j**3/33 - j**2/11 + 126. Determine n, given that z(n) = 0.
0, 1
Let j(l) = -l**3 + 11*l**2 + 11*l + 15. Let r be j(12). Suppose 0 = -4*p + 6*p + 3*s + 6, -2*s - 4 = -r*p. What is x in p*x + 2/3*x**2 - 2/3 = 0?
-1, 1
Suppose -10 = -5*q - 31*i + 29*i, -3*q - 15 = -3*i. What is x in -20/11*x**4 + q - 8/11*x + 0*x**2 + 42/11*x**3 = 0?
-2/5, 0, 1/2, 2
Let m = -996 - -24909/25. Let o = 131/225 - m. Factor 2/9*r**3 + 0 - 2/9*r + o*r**2 - 2/9*r**4.
-2*r*(r - 1)**2*(r + 1)/9
Let h(c) be the first derivative of -c**5/5 - 9*c**4/8 - 5*c**3/3 - 3*c**2/4 - 95. Factor h(o).
-o*(o + 1)*(o + 3)*(2*o + 1)/2
Suppose -4*r - 2 - 2 = 0. Suppose -q - 2 = -5. Let w(v) = -v. Let t(y) = 2*y**3 - 9*y + 4. Let k(u) = q*w(u) + r*t(u). Factor k(l).
-2*(l - 1)**2*(l + 2)
Let u(m) be the first derivative of -3*m**7/14 + 2*m**6/5 + 3*m**5/20 - m**4/2 + 9*m - 12. Let w(s) be the first derivative of u(s). Factor w(q).
-3*q**2*(q - 1)**2*(3*q + 2)
Let h(l) be the first derivative of -3*l**5 - 51*l**4 - 37*l**3 + 39*l**2 - 238. Let h(q) = 0. Calculate q.
-13, -1, 0, 2/5
Let o = 2/1751 - -3492/8755. Factor -o + 4/5*b - 2/5*b**2.
-2*(b - 1)**2/5
Let b(g) = -g**3 - g - 1. Let r(h) = -8*h**3 + 2*h**2 + 27*h - 9. Let y(v) = 3*b(v) - 3*r(v). Suppose y(k) = 0. Calculate k.
-2, 2/7, 2
Suppose -p + 3*t + 9 = 0, -4*p + 11*p - 4*t = 29. Factor 4/3*o**2 - 8/3*o + 16/9 - 2/9*o**p.
-2*(o - 2)**3/9
Let s(p) be the first derivative of -2*p**5/45 + p**4/3 + 50*p**3/27 + 2*p**2 - 261. Factor s(h).
-2*h*(h - 9)*(h + 1)*(h + 2)/9
Let r(c) = -2*c**3 + 60*c**2 - 320*c + 344. Let a(u) = -u**3 + 20*u**2 - 107*u + 115. Let d(g) = 8*a(g) - 3*r(g). Let d(q) = 0. What is q?
-14, 2
Let g(b) = -b**2 - 304*b + 12482. Let p(s) = 308*s - 12482. Let k(x) = -4*g(x) - 6*p(x). Suppose k(l) = 0. Calculate l.
79
Let g be ((-45)/10)/(-9) + 3/(-18). Let l(h) be the first derivative of -g*h**3 - 1/4*h**4 + 1 + 0*h**2 + 1/6*h**6 + 1/5*h**5 + 0*h. Factor l(j).
j**2*(j - 1)*(j + 1)**2
Let n(c) = -6*c**3 - 4*c**2 + 26*c. Suppose 12 = 5*v - v. Let b(j) = j**3 + j**2 - 5*j. Let w(a) = v*n(a) + 16*b(a). Find o such that w(o) = 0.
0, 1
Suppose 0 + 36/17*r - 22/17*r**2 + 2/17*r**3 = 0. Calculate r.
0, 2, 9
Let n = 98 + -78. Suppose 122*l - 127*l + n = 0. Factor -l*o**3 + 2/3*o**4 + 8*o**2 + 2 - 20/3*o.
2*(o - 3)*(o - 1)**3/3
Let c(l) = 2*l. Let y be c(0). Let b(j) be the first derivative of y*j**2 - 4 + j**5 - 1/3*j**6 - 1/2*j**4 + 0*j**3 + 0*j. Solve b(s) = 0.
0, 1/2, 2
Let l(s) = -10*s**3 - 57*s**2 - 87*s - 26. Let f(c) = -170*c**3 - 970*c**2 - 1480*c - 440. Let q(h) = -2*f(h) + 35*l(h). Factor q(p).
-5*(p + 2)*(p + 3)*(2*p + 1)
Let s be -1 - (-1)/(-1) - -13. Let f(i) = -i**2 + 12*i + 1. Let y be f(s). Let y*p + 2*p - p**3 + 16*p**2 - 4*p**4 - 2*p**5 + 5*p**3 + 5 - 1 = 0. What is p?
-1, 2
Let f(r) be the first derivative of -2*r**5/75 - 32*r**4/5 - 3072*r**3/5 - 147456*r**2/5 - 3538944*r/5 - 293. Find o, given that f(o) = 0.
-48
Let y(v) = v**3 - 1. Let n(a) be the first derivative of -7*a**4/4 + a**2/2 + 6*a - 8. Let w(t) = -5*n(t) - 30*y(t). Factor w(r).
5*r*(r - 1)*(r + 1)
Let c(u) = -u**3 + 23*u**2 + 2. Let j be c(23). Suppose 0 - 8 = -4*b - 2*l, -j*l = -4*b + 8. Let 2/7*g + 0 + 2/7*g**b = 0. What is g?
-1, 0
Factor -3*w + 10*w - 20*w**3 - 40*w**2 - 15*w**2 - 37*w.
-5*w*(w + 2)*(4*w + 3)
Let z = 113 - 111. Let q(y) be the first derivative of -6/7*y + 1 + 2/21*y**3 + 2/7*y**z. Let q(i) = 0. What is i?
-3, 1
Suppose -21/4*y**5 + 0 - 18*y**3 + 33/2*y**4 + 15/2*y**2 - 3/4*y = 0. Calculate y.
0, 1/7, 1
Suppose 10 = 4*a - 2*a. Factor 4*n**5 - 3*n - 4*n**4 + 3*n - 8*n**a.
-4*n**4*(n + 1)
Let x(q) be the second derivative of q**7/84 + q**6/60 - q**5/8 - q**4/24 + 2*q**3/3 - q**2 - 190*q. Solve x(b) = 0.
-2, 1
Let s = -1088 - -7620/7. Let i(h) be the first derivative of 2/7*h**4 + 2 + 0*h**2 + 12/35*h**5 - 4/21*h**6 + s*h - 16/21*h**3. Suppose i(a) = 0. Calculate a.
-1, -1/2, 1
Let o(r) = -r - 3. Let c be o(-9). Let g be (5 - 114/21)/(c/(-8)). Factor -g*z**2 - 64/7 - 32/7*z.
-4*(z + 4)**2/7
Let 4*j**2 - 521 - 120 + 19*j - 19 + 6*j - 9*j = 0. Calculate j.
-15, 11
Let h(g) be the second derivative of -3*g**5/25 + 214*g**4/15 - 2496*g**3/5 - 5184*g**2/5 + 125*g. Factor h(j).
-4*(j - 36)**2*(3*j + 2)/5
Solve -5/7*p**3 - 12/7 + 3/7*p**2 + 20/7*p = 0.
-2, 3/5, 2
Let h(w) be the second derivative of -17*w**4/12 + 5*w**3/2 + w**2 + 169*w. Determine s so that h(s) = 0.
-2/17, 1
Suppose -2*u + 0*j + 14 = -2*j, j + 55 = 5*u. Suppose 12*i**3 + i**3 - u*i**3 - 6 - 2*i - 5*i = 0. Calculate i.
-2, -1, 3
Let c(u) be the second derivative of -6/17*u**3 + 0 + 1/102*u**4 + 81/17*u**2 + 42*u. Let c(p) = 0. What is p?
9
Let w = -473 + 475. Solve -2/11*o**w + 0*o + 2/11 = 0 for o.
-1, 1
Let y = 37 + -34. Suppose 11 - 21*d + 20 - 2*d**y + 26*d**2 - 25*d - 9 = 0. Calculate d.
1, 11
Suppose 0 = 99*k - 57*k - 84. What is y in 60/7*y + 12/7 - 3*y**5 - 39/7*y**3 + 57/7*y**k - 69/7*y**4 = 0?
-2, -1, -2/7, 1
Let p(g) be the second derivative of g**4/16 + 2*g**3/3 + 5*g**2/2 - 106*g + 2. Factor p(l).
(l + 2)*(3*l + 10)/4
Let c(h) be the third derivative of -h**7/720 + h**6/720 + h**4/3 - 2*h**2. Let u(w) be the second derivative of c(w). Let u(o) = 0. Calculate o.
0, 2/7
Let v(l) be the second derivative of -l**6/50 + 9*l**5/25 - 12*l**4/5 + 8*l**3 - 72*l**2/5 + 25*l + 3. Suppose v(h) = 0. Calculate h.
2, 6
Let a(d) be the first derivative of -5*d**8/112 - d**7/10 - d**6/20 + 11*d**2/2 + 8. Let y(r) be the second derivative of a(r). Suppose y(x) = 0. Calculate x.
-1, -2/5, 0
Let k be (-5 - -3)/(-2) + 5 + 1. Let t be -15 + 14 + 16/k. Factor -6/7*o - 1/7*o**2 - t.
-(o + 3)**2/7
Let l(k) = -k**3 + 12*k**2 + 10*k + 7. Let b be l(11). Solve 17*p - 232*p**4 + 44*p**2 + b*p**4 - p + 34*p**3 = 0 for p.
-4, -1, -2/3, 0
Suppose -t - 49 = 3*p, t - 4*p + 16 = -68. Let r be (t/24 - -2)/(1/(-5)). Determine m so that 0 + 0*m - 5/3*m**3 - r*m**2 + 5/3*m**4 = 0.
-1, 0, 2
Factor -4/5*u**2 + 64/5*u - 192/5.
-4*(u - 12)*(u - 4)/5
Let z be 5/30 - (-4)/48*22. Let s(i) be the first derivative of 4/21*i**3 - 2 - 4/7*i + 0*i**z. Factor s(c).
4*(c - 1)*(c + 1)/7
Let o = -1632/5 - -24481/75. Let h(f) be the second derivative of -15*f + 2/15*f**3 - 1/5*f**2 + 0 - 1/25*f**5 + o*f**6 + 0*f**4. Suppose h(s) = 0. What is s?
-1, 1
Let c(f) be the second derivative of 1/8*f**2 - 5/48*f**3 + 1/32*f**4 + 3*f + 0. Factor c(n).
(n - 1)*(3*n - 2)/8
Suppose 0 = -5*h + 5*n + 15, -5 - 8 = -4*h + 5*n. Suppose m + 3*w = 16, m - 5*w + 22 = -h*m. Factor -2*g + 2*g**2 + 8*g**3 + 2 - 6*g**3 - m - 3.
2*(g - 1)*(g + 1)**2
Let x be (-28 - -22)*-1*1. Let -x - 4*w - 2*w - 3*w - 8*w**2 - 4*w - w**3 = 0. Calculate w.
-6, -1
Let o(t) = -8*t**5 - t**4 + 73*t**3 - 114*t**2 + 9*t + 9. Let v(n) = -2*n**5 + 18*n**3 - 28*n**2 + 2*n + 2. Let q(g) = -4*o(g) + 18*v(g). Factor q(i).
-4*i**2*(i - 2)**2*(i + 3)
Suppose -4*j + 1 = 5*b + 3, 5*j + 21 = 3*b. Let r(c) be the first derivative of 1/3*c**b - 1/9*c**3 - 1/3*c - 1. Find x, given that r(x) = 0.
1
Suppose -10 = o - 3*f, -f - 344 = 3*o - 354. Suppose 0 + 2/21*v**5 + 4/21*v**4 + 0*v - 4/21*v**o - 2/21*v**3 = 0. What is v?
-2, -1, 0, 1
Let n(z) be the first derivative of z**4/26 + 4*z**3/13 + 9*z**2/13 + 93. Factor n(v).
2*v*(v + 3)**2/13
Let i(v) = -9*v**2 + 2*v + 2. Let r be i(0). Let l(b) be the first derivative of 4*b**r + 1/4*b**4 + 2 + 5/3*b**3 + 4*b. Determine t, given that l(t) = 0.
-2, -1
Let n be (-1)/(-10)*(0 + 3060/(-8)). Let c = n + 39. Factor 0 - 1/4*o - c*o**3 - 3/4*o**2 - 1/4*o**4.
-o*(o + 1)**3/4
Let c = -1/2109 - -6331/8436. Factor 3/4 + 0*k - c*k**2.
-3*(k - 1)*(k + 1)/4
Let s = 435/74 - 162/37. Let f(g) be the first derivative of 2/3*g**2 - s*g**4 + 14/9*g**3 + 0*g - 12. Factor f(h).
-2*h*(h - 1)*(9*h + 2)/3
Suppose -9*s = -6*s - 15. Let o(l) be the second derivative of 0 - 2