
-5*(p - 95)**2
Suppose -1/5*i - 1/5*i**4 - 3/5*i**3 - 3/5*i**2 + 0 = 0. Calculate i.
-1, 0
Let s be (-15)/18 - (-943)/345. Factor 3/5*m + s*m**2 - 7/10*m**3 + 0.
-m*(m - 3)*(7*m + 2)/10
Let p(q) be the third derivative of 2/3*q**3 + 2*q**2 + 1/30*q**5 + 0 - 1/4*q**4 + 0*q. Factor p(y).
2*(y - 2)*(y - 1)
Suppose 167*p = 169*p - 6. Let v(j) be the first derivative of -1/8*j**2 - p + 1/12*j**3 + 0*j. Find r such that v(r) = 0.
0, 1
Determine g, given that 16/7 - 76/21*g + 2/7*g**2 = 0.
2/3, 12
Let k be (-3102)/(-15) - -4 - 0. Let u = 214 - k. Let -u*w**2 + 6/5*w**3 - 4/5 + 14/5*w = 0. Calculate w.
2/3, 1
Let r(w) = 6*w - 5. Let o(m) = 5*m - 4. Let j(i) = -7*o(i) + 6*r(i). Let q be j(4). Factor -4*a**3 - a - 148*a**q + 156*a**2 - 3*a.
-4*a*(a - 1)**2
Let r(j) = -3*j - 135. Let g be r(-45). Factor 3/2*t**2 + 9/2*t**3 + 3/2*t**5 + g*t + 9/2*t**4 + 0.
3*t**2*(t + 1)**3/2
Suppose g = -5 + 8. Factor g*d**4 + 2*d**5 - 2*d**4 + 0*d**5 - 3*d**4.
2*d**4*(d - 1)
Factor -14 - 44/3*p - 2/3*p**2.
-2*(p + 1)*(p + 21)/3
Let b = 11751 - 11746. Suppose 0 + 4*z + 16/3*z**4 - 16/3*z**2 - 4/3*z**b - 8/3*z**3 = 0. Calculate z.
-1, 0, 1, 3
Let p(q) be the first derivative of -5*q**3/3 - 70*q**2 - 980*q + 631. Solve p(n) = 0 for n.
-14
Factor -72*l - 21*l**2 - 11492 - 18*l**2 - 6*l**3 + 11465.
-3*(l + 3)**2*(2*l + 1)
Let i(c) be the second derivative of 0 + 5/6*c**4 + 1/4*c**5 + 0*c**3 + 13*c - 1/6*c**6 + 0*c**2. Factor i(r).
-5*r**2*(r - 2)*(r + 1)
Let n(d) be the first derivative of -d**4/50 - 44*d**3/75 - 121*d**2/25 + 338. Solve n(k) = 0.
-11, 0
Let p(j) be the first derivative of -9*j**4/16 - j**3/3 + 610. Factor p(g).
-g**2*(9*g + 4)/4
Let v be -18*(16/6)/(-4). Let c = -9 + v. Determine n so that n**2 - c*n + n + n**2 = 0.
0, 1
Let p(a) be the third derivative of -a**8/48 - 8*a**7/105 - 11*a**6/120 - a**5/30 - 77*a**2. Solve p(u) = 0.
-1, -2/7, 0
Let t(x) be the first derivative of 4*x**5/25 - x**4/5 - 8*x**3/15 - 29. Factor t(q).
4*q**2*(q - 2)*(q + 1)/5
Determine k, given that -338/3*k**5 + 0 + 40/3*k**2 + 512/3*k**3 + 0*k + 1586/3*k**4 = 0.
-2/13, 0, 5
Factor 3/2*z**5 + 0*z**3 - 3/2*z - 3*z**4 + 0 + 3*z**2.
3*z*(z - 1)**3*(z + 1)/2
Suppose -7*y + 10 = -4. Factor 13*q + 4*q - 3*q**y - 3*q - 12 + q.
-3*(q - 4)*(q - 1)
Let n(a) be the first derivative of 19 - a**3 - a - 5/2*a**2 + 9/4*a**4. Factor n(u).
(u - 1)*(3*u + 1)**2
Let z(v) = 3*v**5 + 3*v**4 - v**3 + 5*v**2 + 2*v + 4. Let n(h) = -h**5 - h**4 + h**3 - 1. Let m(r) = -12*n(r) - 3*z(r). Factor m(k).
3*k*(k - 2)*(k + 1)**3
Let w(g) be the third derivative of 3/80*g**6 - g**2 - 3/16*g**4 + 0 + 1/105*g**7 + 0*g - 1/60*g**5 - 1/6*g**3. Suppose w(o) = 0. Calculate o.
-2, -1, -1/4, 1
Factor -31682*f - 2/3*f**3 - 31974 + 874/3*f**2.
-2*(f - 219)**2*(f + 1)/3
Let y(t) be the first derivative of 13 - 10/3*t**2 - 2*t**3 - 2/3*t. Factor y(f).
-2*(f + 1)*(9*f + 1)/3
Let d(a) be the first derivative of 0*a + 4/5*a**4 + 0*a**2 + 4/25*a**5 - 5 + 4/5*a**3. Suppose d(f) = 0. Calculate f.
-3, -1, 0
Suppose 0 = -3*m + 9 + 9. Suppose 2*v + 12 = m*v. Determine b, given that 37*b**2 + 0*b + b**v - 4*b - 38*b**2 + 4 = 0.
-2, 1, 2
Let x(r) be the second derivative of -1/6*r**4 + 0*r**3 + 0 + 19*r + r**2. What is z in x(z) = 0?
-1, 1
Let t = -214743/11 + 19523. Factor 2/11*j**2 + 2/11*j**5 + 8/11 - t*j**3 - 2/11*j**4 + 16/11*j.
2*(j - 2)**2*(j + 1)**3/11
Let z(f) be the third derivative of 1/42*f**4 + 0*f - 1/30*f**5 - 15*f**2 + 0 + 1/245*f**7 + 0*f**3 + 1/210*f**6. Find r, given that z(r) = 0.
-2, 0, 1/3, 1
Suppose 3*v = -1 + 7. Let l(r) = 2*r**2 + 7*r - 1. Let h be l(-4). Factor z**h - v + 0 - z - 2*z.
(z - 2)*(z + 1)**2
Let a(h) be the second derivative of -7*h**4/3 - 332*h**3/3 + 96*h**2 - 92*h - 1. Find f, given that a(f) = 0.
-24, 2/7
Determine i so that -1/2*i**5 + 18*i - 6*i**4 + 0 - 35/2*i**3 + 6*i**2 = 0.
-6, -1, 0, 1
Suppose s - 2 = -3*v + v, 2*s - 4*v = 36. Let r = s - -2. Let -r*h**2 - 16 - 26*h**2 + 11*h + 6*h**3 + 29*h + 10*h**2 = 0. What is h?
2/3, 2
Let d(y) be the second derivative of -1/30*y**4 + y + 0 + 2/15*y**3 - 1/5*y**2. Factor d(m).
-2*(m - 1)**2/5
Suppose -4*f - 3*d = 5, 0 = -3*f + 3*d - 4*d - 5. Let t(q) = q**2 - q + 2. Let b(u) = -6*u**2 + 5*u - 10. Let c(n) = f*b(n) - 11*t(n). Factor c(p).
(p - 1)*(p + 2)
Factor -131/11*n - 1/11*n**3 + 65/11 + 67/11*n**2.
-(n - 65)*(n - 1)**2/11
Let o(m) = -m**2 + 6*m + 7. Let a be o(8). Let i(x) = 3*x**3 + 3*x**2 - 21*x - 3. Let v(b) = -b**3 - b**2 + 5*b + 1. Let k(c) = a*v(c) - 2*i(c). Solve k(z) = 0.
-1, 1
Let l = 1179 + -1177. Let w(s) be the first derivative of -1/2*s - 7 + 3/8*s**l - 1/12*s**3. Solve w(f) = 0 for f.
1, 2
Let l(v) = 18 - 13*v - 1 - 3*v + 3*v**2 - 2*v**2. Let m be l(15). Factor 1/3*t**3 - 1/3 - t**m + t.
(t - 1)**3/3
Let x(m) be the first derivative of -2*m**5/45 + 8*m**4/9 - 188*m**3/27 + 80*m**2/3 - 50*m + 66. Suppose x(o) = 0. Calculate o.
3, 5
Let k(g) be the first derivative of -g**6/3 + 8*g**5/5 + 13*g**4/2 - 8*g**3/3 - 12*g**2 + 136. Let k(r) = 0. What is r?
-2, -1, 0, 1, 6
Let w(a) = -5*a + 35. Let i be w(6). Factor -4*l**5 - 8*l**4 + 9*l**i + 4*l**3 - l**5.
4*l**3*(l - 1)**2
Find q such that 325*q**2 + 42 - 12 - 7744*q + 8409*q = 0.
-2, -3/65
Let j(r) = -3*r**4 - 20*r**3 - 23*r**2 + 20*r. Let p(m) = -m**4 - 10*m**3 - 11*m**2 + 10*m. Let z(w) = 6*j(w) - 13*p(w). Factor z(g).
-5*g*(g - 2)*(g - 1)*(g + 1)
Let d(w) be the second derivative of -1/60*w**5 + 2/3*w**2 + 7/18*w**3 + 0 + 39*w + 1/18*w**4. Find p such that d(p) = 0.
-1, 4
Let h be (-20)/(-5) + 38/2. Let n = h + -14. Factor n*d**2 + 4 - 4 + 7*d + 2 - 4.
(d + 1)*(9*d - 2)
Let r(l) be the second derivative of 0*l**3 - 18*l - 1/6*l**2 + 0 + 1/36*l**4. Factor r(m).
(m - 1)*(m + 1)/3
Let f(z) be the third derivative of z**8/3360 - z**7/1260 + z**4/3 - 15*z**2. Let l(m) be the second derivative of f(m). Suppose l(j) = 0. Calculate j.
0, 1
Let y = 34 + -24. Suppose -7*t + y*t - 6 = 0. Factor 0 + 2/5*l**t + 1/5*l + 1/5*l**3.
l*(l + 1)**2/5
Let m = -281 + 496. Find q, given that -m*q + 10*q**2 - 25*q**3 - 35*q**4 + 215*q = 0.
-1, 0, 2/7
Let 88/7*l + 2/7*l**2 + 0 = 0. Calculate l.
-44, 0
Let w(z) = 5*z**3 + 113*z**2 + 17*z + 17. Let d(v) = -2*v**3 - 38*v**2 - 6*v - 6. Let t(g) = 17*d(g) + 6*w(g). Factor t(n).
-4*n**2*(n - 8)
Let u be (-176)/66*3/(-2). Let f(k) be the second derivative of -1/25*k**5 + 0 + 0*k**6 + 0*k**2 - 8*k + 1/15*k**3 + 0*k**u + 1/105*k**7. Solve f(t) = 0.
-1, 0, 1
Factor 471648 - 20808*z - 3/2*z**3 + 306*z**2.
-3*(z - 68)**3/2
Suppose 0 = -23*k - 7*k + 180. Let c(h) be the third derivative of -k*h**2 + 0*h - 1/240*h**5 + 0 + 0*h**3 + 0*h**4 + 1/480*h**6. Let c(j) = 0. Calculate j.
0, 1
Let g = 8/483 - -467/966. Solve -g*k**3 + 2/3*k**2 + 0 + 2/3*k - 1/3*k**4 + 1/6*k**5 = 0 for k.
-1, 0, 2
Let n(v) = -22*v**4 - 69*v**3 - 29*v**2 + 23*v - 1. Let r(y) = y**4 - y**3 + 2*y**2 - 1. Let h(j) = -n(j) - 2*r(j). Let h(l) = 0. Calculate l.
-3, -1, 1/5, 1/4
Factor -22/3*b**2 + 0 + b**4 - 8/3*b + 7/3*b**3.
b*(b - 2)*(b + 4)*(3*b + 1)/3
Solve -42*a**4 - 12*a**2 - 39*a**3 + 120*a**2 + 45*a**4 = 0 for a.
0, 4, 9
Let d be (2/100)/(12/15). Let v(t) be the third derivative of 1/4*t**3 + d*t**6 + 0 + 0*t**5 - 1/8*t**4 + 12*t**2 - 1/140*t**7 + 0*t. Factor v(k).
-3*(k - 1)**3*(k + 1)/2
Let v(h) = 20*h - 122. Let b be v(6). Let z be 100/350 + b/7. Factor 3/7*n**3 + 0 + 6/7*n**2 + z*n - 3/7*n**4.
-3*n**2*(n - 2)*(n + 1)/7
Suppose 17*j = 20*j. What is i in 8*i**2 - 12*i**4 + 12*i - 8*i**3 + 4 + 15*i**5 - 19*i**5 + j*i**3 = 0?
-1, 1
Let t(y) be the first derivative of y**2/2 + 12*y - 5. Let f be t(-5). Find z, given that -f*z**3 - 12*z**2 - 9*z**3 + 2*z + 2*z = 0.
-1, 0, 1/4
Suppose 11*g = 4*g + 1981. Let j = 877/3 - g. Let 20/3*x**3 - 16/3 + j*x**2 - 32/3*x = 0. Calculate x.
-2, -2/5, 1
Factor -11/4*n - 5/2 - 1/4*n**2.
-(n + 1)*(n + 10)/4
Factor x**2 + 100 - 105*x + 15/4*x**3 + 1/4*x**4.
(x - 4)*(x - 1)*(x + 10)**2/4
Let y(f) be the second derivative of -f**6/70 + 3*f**5/28 - f**4/14 - 4*f**3/7 + 97*f. Let y(q) = 0. What is q?
-1, 0, 2, 4
Let p(z) be the first derivative of -2*z**3/21 + 2*z**2/7 + 6*z/7 - 62. Find g, given that p(g) = 0.
-1, 3
Let w(z) = 56*z**4 + 116*z**3 - 26*z**2 - 50*z - 30. Let h(j) = -11*j**4 - 23*j**3 + 5*j**2 + 11*j + 6. Let l(y) = -11*h(y) - 2*w(y). Solve l(q) = 0 for q