63 + 8*b**6/45 - b**5/15 - 2*b**4/3 - 67*b. Suppose i(z) = 0. Calculate z.
-1, 0, 2, 3
Let c(t) be the first derivative of t**7/1120 - t**5/40 - 3*t**3 - 12. Let v(u) be the third derivative of c(u). Determine m, given that v(m) = 0.
-2, 0, 2
Let i be 2/5*940/16. Let g = -23 + i. Suppose -g + 1/2*x**2 + 0*x = 0. Calculate x.
-1, 1
Suppose 1 = 5*h - 14. Factor 150*u**2 + 13*u**3 + 27*u**3 - 10*u**3 + 180*u + 5*u**h + 40.
5*(u + 2)**2*(7*u + 2)
What is c in 1/2*c**3 + 108*c + 486 - 33/2*c**2 = 0?
-3, 18
Let q(t) be the second derivative of t**7/63 + t**6/135 - 16*t**5/45 + 22*t**4/27 - 16*t**3/27 + 77*t. What is l in q(l) = 0?
-4, 0, 2/3, 1, 2
Let t(o) be the third derivative of -3/4*o**4 + 4*o**2 + 0*o + 1/60*o**5 + 0 + 27/2*o**3. Factor t(c).
(c - 9)**2
Let o(u) be the third derivative of u**7/105 + 11*u**6/60 + 97*u**2. Factor o(b).
2*b**3*(b + 11)
Let a be 3/4*((-2380)/126)/(-34). Let w(c) be the first derivative of -a*c**3 + 0*c - 5/8*c**2 + 13. Let w(q) = 0. What is q?
-1, 0
Determine g, given that 3/7*g**2 + 9/7 - 12/7*g = 0.
1, 3
Suppose -6*g + 7*g - 20 = 5*u, -u - 4 = 0. Let o(b) be the third derivative of 1/60*b**5 + 0*b + g + 0*b**3 + 1/12*b**4 + 4*b**2. Factor o(a).
a*(a + 2)
Suppose 98 = 311*f - 262*f. Factor 0*m - 16/3*m**f + 8/3*m**3 - 1/3*m**4 + 0.
-m**2*(m - 4)**2/3
Let m(h) be the second derivative of 1/14*h**7 + 6*h**3 + 0 - 21/20*h**5 - 26*h + 12*h**2 - 1/2*h**4 + 0*h**6. Solve m(l) = 0.
-2, -1, 2
Let v(x) be the third derivative of x**8/168 - 8*x**7/105 - x**6/2 - 16*x**5/15 - 11*x**4/12 - 6*x**2 + 4. Factor v(m).
2*m*(m - 11)*(m + 1)**3
Let k be 89/(-356) + 2/8. Let y(p) be the first derivative of -p**2 + 8 + 4/3*p**3 - 1/2*p**4 + k*p. Solve y(m) = 0 for m.
0, 1
Let d(j) be the third derivative of j**6/30 - j**5/10 - 11*j**4/12 + 2*j**3 - 2*j**2 + 23. Solve d(z) = 0.
-2, 1/2, 3
Let v(d) be the second derivative of d**9/37800 - d**8/8400 + d**7/6300 + d**4/2 - 8*d. Let c(i) be the third derivative of v(i). Factor c(x).
2*x**2*(x - 1)**2/5
Let 1/7*p - 1/7*p**2 + 6/7 = 0. Calculate p.
-2, 3
Let f = -4667/4 - -1167. Factor 1/8*i**2 + 1/8 - f*i.
(i - 1)**2/8
Suppose 0 = 5*v + 3*v - 256. Let k be (12/(-16))/((-60)/v). Find x such that 0 - 2/5*x**3 + 2/5*x + 2/5*x**4 - k*x**2 = 0.
-1, 0, 1
Let i(d) be the first derivative of 0*d**2 + 0*d + 3/4*d**4 + 46 - 3*d**3. Factor i(l).
3*l**2*(l - 3)
Let m(k) be the second derivative of -2/3*k**4 + 0*k**2 - k + 0 + 4/3*k**3 + 1/10*k**5. What is j in m(j) = 0?
0, 2
Let w(p) be the third derivative of 0*p**6 - 1/245*p**7 + 0*p**4 + 0*p + 0 + 0*p**3 + 30*p**2 + 1/588*p**8 + 1/210*p**5. Factor w(k).
2*k**2*(k - 1)**2*(2*k + 1)/7
Let n = 297 + -297. Let j(a) be the third derivative of 0*a**4 - 1/30*a**5 + 7/120*a**6 - 2*a**2 + 0*a - 1/42*a**7 + 0 + n*a**3. Factor j(u).
-u**2*(u - 1)*(5*u - 2)
Let k(v) be the second derivative of -v**6/180 - v**5/10 - 3*v**4/4 - 7*v**3/6 + 7*v. Let i(s) be the second derivative of k(s). Suppose i(l) = 0. Calculate l.
-3
Let v(d) = 3*d**2 + 4*d + 3. Let l be v(-1). Let 93 - l*i - 2*i - 97 - i**2 = 0. Calculate i.
-2
Let d(b) = 2*b**3 - 2*b**2 - 2*b + 2. Let y(m) be the first derivative of m**4/4 - m**3/3 - m**2/2 + m - 32. Let i(p) = d(p) + 2*y(p). Factor i(r).
4*(r - 1)**2*(r + 1)
Suppose -13 + 6 = -2*a - j, j = 4*a - 11. Let c be (a - 5)/(-2) + 2. Find n such that -32/9*n**2 - 8/9*n**4 + 4/9 - 10/3*n**c - 2/3*n = 0.
-2, -1, 1/4
Let j(a) = -5*a**5 - 21*a**4 - a**3 + 17*a**2 - 30*a - 5. Let o(b) = -2*b**5 - 10*b**4 + 8*b**2 - 14*b - 2. Let q(p) = 4*j(p) - 9*o(p). Factor q(y).
-2*(y - 1)**4*(y + 1)
Let s = 4606 + -18409/4. Determine d so that s*d - 3*d**3 - 3/2 - 3/4*d**5 + 3*d**4 - 3/2*d**2 = 0.
-1, 1, 2
Let g(r) = -r**4 + r**3. Suppose -2 = -0*s - 2*s. Let j(l) = 3*l**4 + 6*l**5 - 17*l**5 - 3*l**3 + 3*l**2 + 8*l**5. Let p(b) = s*j(b) + 6*g(b). Factor p(n).
-3*n**2*(n - 1)*(n + 1)**2
Let x(j) be the third derivative of -2 - 1/270*j**6 + 1/135*j**5 - 17*j**2 + 0*j + 0*j**3 + 1/27*j**4. Find a, given that x(a) = 0.
-1, 0, 2
Let w = 432 - 430. Factor 0*j + 1/3*j**4 + 0 + j**w - 4/3*j**3.
j**2*(j - 3)*(j - 1)/3
Let u = 116 + -112. Factor -8*n**u - 13*n**3 + 7*n - 7*n**3 + 8*n + 10*n**2 + 5*n**5 - 2*n**4.
5*n*(n - 3)*(n - 1)*(n + 1)**2
Let w(g) be the third derivative of -121*g**8/2016 - 11*g**7/63 - 13*g**6/120 + g**5/18 - g**4/144 + 2*g**2 + 76*g. Factor w(u).
-u*(u + 1)**2*(11*u - 1)**2/6
Let h = -301 + 301. Suppose h = -a + 3, 2*a = -k + 4*k - 6. Solve -2/3*o + 2/3*o**3 + 2/3*o**k + 0 - 2/3*o**2 = 0.
-1, 0, 1
Let r(c) be the third derivative of -c**8/2688 - c**7/560 + 3*c**6/320 - c**5/96 - 103*c**2. Solve r(q) = 0 for q.
-5, 0, 1
Let t(b) be the third derivative of 0 - b**3 + 5/8*b**4 + 0*b + 1/10*b**6 + 3*b**2 + 11/20*b**5. Factor t(i).
3*(i + 1)*(i + 2)*(4*i - 1)
Let t(f) = 3*f**3 + 11*f**2 - 3*f - 21. Let k(l) = 5*l**3 + 17*l**2 - 5*l - 31. Let q(p) = -5*k(p) + 7*t(p). Factor q(s).
-4*(s - 1)*(s + 1)*(s + 2)
Suppose 24/5*v**3 - 2/5*v**4 + 32*v - 96/5 - 96/5*v**2 = 0. Calculate v.
2, 6
Let f be ((-20)/(-7))/((-10)/(-35)). Suppose 2*z = 2*h, 4*z - f = 2. Factor 5*s**2 + 4*s**3 + h*s**3 - 7*s**2.
s**2*(7*s - 2)
Let p be (-1 - (0 + -14)/2) + -4. Factor 1/4*g**p + 0 - g.
g*(g - 4)/4
Let v = -4 + 6. Suppose 42 = -18*t + 78. Determine s, given that 1/2*s**v + t + 2*s = 0.
-2
Let n(b) be the first derivative of 15 - 1/12*b**3 - 9*b + 3/2*b**2. Factor n(k).
-(k - 6)**2/4
Let h be (-39)/(-26) - 3/(-4). Determine v, given that -h*v**2 + 0 + 3/4*v**3 + 3/2*v = 0.
0, 1, 2
Let q = -27 - -27. Find f, given that 3*f**4 + 0*f**3 + 4*f**3 + f**5 + f**2 + q*f**5 - f**3 = 0.
-1, 0
Let k(z) = -6*z**4 + 38*z**3 - 32*z**2 - 42*z + 40. Let s(y) = -32*y**4 + 189*y**3 - 158*y**2 - 211*y + 201. Let t(j) = -11*k(j) + 2*s(j). Solve t(m) = 0.
-1, 1, 19
Suppose 5*h + 10 = 4*x, 3*x - 11*h + 9*h - 4 = 0. Let o be (x/(2 - 3))/2. Solve 2/9*r**2 + 2/9*r + o = 0 for r.
-1, 0
Suppose -2/9*g**2 - 46208/9 + 608/9*g = 0. Calculate g.
152
Let s(k) be the second derivative of k**7/1260 + k**6/180 + k**5/60 + k**4/36 + k**3/36 + 27*k**2 - 12*k. Let c(q) be the first derivative of s(q). Factor c(g).
(g + 1)**4/6
Let m(v) be the third derivative of -v**7/1365 + 19*v**6/195 - 683*v**5/195 - 19*v**4 - 39*v**3 + 61*v**2. Factor m(l).
-2*(l - 39)**2*(l + 1)**2/13
Let a(x) be the third derivative of -5/27*x**4 + 50/27*x**3 - 20*x**2 + 1/135*x**5 + 0*x + 0. Determine u, given that a(u) = 0.
5
Let o(j) be the first derivative of 2*j**6/21 + 6*j**5/5 + 43*j**4/14 + 46*j**3/21 - 9*j**2/7 - 16*j/7 - 214. Solve o(s) = 0.
-8, -1, 1/2
Let x(v) be the first derivative of -4*v**3/9 + 164*v**2/3 - 6724*v/3 - 210. Find k, given that x(k) = 0.
41
Let z be -5*(77/(-11) + 6). Let d(r) be the third derivative of 0*r**z + 4/3*r**3 + 0 + 0*r - 12*r**2 + 1/2*r**4 - 1/30*r**6. Factor d(a).
-4*(a - 2)*(a + 1)**2
Suppose -4 = 2*c - 4. Let h be 15/45*(c - -1). Factor -i**3 + h*i**2 + 0*i - 1/3*i**5 + 0 + i**4.
-i**2*(i - 1)**3/3
Let z(h) be the third derivative of -11*h**5/210 + 16*h**4/21 + 4*h**3/7 + 63*h**2. Find b, given that z(b) = 0.
-2/11, 6
Let g(v) be the third derivative of v**8/1344 - 3*v**6/160 - v**5/60 + v**4/8 - v**2 + 515*v. Factor g(r).
r*(r - 3)*(r - 1)*(r + 2)**2/4
Let q be -7 + (2667/(-70))/((-108)/20). Let j(f) be the first derivative of 3/2*f + 4 + 1/2*f**2 + q*f**3. Factor j(k).
(k + 3)**2/6
Let q = 50/729 - -16667/1458. Solve -9/4*d**4 + 15/2*d**3 + 33/4*d - q*d**2 + 1/4*d**5 - 9/4 = 0.
1, 3
Let d(t) = -t**2 - 18*t + 88. Let a be d(4). Let -1/6*j + a + 1/6*j**2 = 0. What is j?
0, 1
Let z = 24022 + -24022. Factor 0 + z*s**2 - 1/6*s**4 - 1/2*s**3 + 2/3*s.
-s*(s - 1)*(s + 2)**2/6
Let b(i) be the first derivative of -i**4/4 + 19*i**3/6 + 11*i**2/4 - 5*i - 302. Let b(f) = 0. What is f?
-1, 1/2, 10
Factor -478 + 60*x - 9*x**2 - 10*x**2 + 28 + 17*x**2.
-2*(x - 15)**2
Let j(d) be the first derivative of -d**6/7 + 2*d**5/35 + 86. Solve j(m) = 0.
0, 1/3
Let i(u) = 5*u + 1 - 4*u - 3. Let v be i(6). Let -6*n**3 + 8*n**4 + 2*n**3 - 4*n**2 + v*n - 10*n**2 + 6*n**4 = 0. What is n?
-1, 0, 2/7, 1
Suppose 4 + 2 = -2*i. Let m be (16/12 + -2)*i. Solve -m + r - 2 - 3*r + 5 + r**2 = 0.
1
Let f be -4 + 4 + -3 - -5. Factor z + 3*z**3 + z**f + 7*z**2 - 10*z - 2*z**2.
3*z*(z - 1)*(z + 3)
Suppose x = 5*k - 406, 4*k = 3*k + 2*x + 83