1
Let f = -2530 + 3735. Suppose 5*t = -1190 + f. Determine h, given that 0*h + 1/5*h**2 + 1/5*h**t + 0 = 0.
-1, 0
Let k(c) be the third derivative of -c**5/30 - 7*c**4/6 + 49*c**3 - 347*c**2 - 5*c. What is l in k(l) = 0?
-21, 7
Let r(i) = 8*i**3 + 12*i**2 - 232*i + 420. Let z(f) = -15*f**3 - 24*f**2 + 466*f - 835. Let m(x) = -7*r(x) - 4*z(x). Factor m(y).
4*(y - 5)*(y - 2)*(y + 10)
Let j(g) be the second derivative of -g**7/63 + 67*g**6/90 - 179*g**5/20 + 173*g**4/9 - 110*g**3/9 + 2300*g. Determine q, given that j(q) = 0.
0, 1/2, 1, 10, 22
Let l = 3619 + -3619. Let f(i) be the third derivative of -11/60*i**5 + 0*i + l - 14*i**2 + 1/12*i**4 + 0*i**3. Determine b, given that f(b) = 0.
0, 2/11
Let u = 884 - 882. Suppose 8*r**2 - 12*r**3 - 12*r + 62*r + 32 + 21*r**3 - 8*r**3 + 11*r**u = 0. What is r?
-16, -2, -1
Let z(f) be the third derivative of -f**6/120 + 3*f**5/40 - f**4/4 - 20*f**3 + 149*f**2. Let v(a) be the first derivative of z(a). Factor v(t).
-3*(t - 2)*(t - 1)
Factor -3/2*y**2 + 294 - 144*y.
-3*(y - 2)*(y + 98)/2
Let f be 1426/7 + (-6)/(-21). Let u be f/28 + -8 - -3. Suppose 4/7*g**5 + 12/7*g**3 + 0 - u*g**2 - 16/7*g + 16/7*g**4 = 0. What is g?
-2, -1, 0, 1
Let s(r) = -576*r**3 + 120*r**2 + 15*r - 627. Let u(k) = 137*k**3 - 30*k**2 - 4*k + 157. Let m(v) = -5*s(v) - 21*u(v). Factor m(h).
3*(h - 2)*(h + 3)*(h + 9)
Suppose -6/11*z**3 - 2/11*z**2 + 0 + 2/11*z**4 + 2/11*z**5 + 4/11*z = 0. What is z?
-2, -1, 0, 1
Let q(j) be the third derivative of j**8/504 + 4*j**7/63 + 8*j**6/9 + 64*j**5/9 + 320*j**4/9 + 1024*j**3/9 - 622*j**2. Factor q(d).
2*(d + 4)**5/3
Let b(q) be the first derivative of q**4/22 - 688*q**3/11 + 266256*q**2/11 - 2757. Determine l, given that b(l) = 0.
0, 516
Let x(r) be the third derivative of -r**6/8 - r**5/60 + 5*r**4/8 + r**3/6 - 159*r**2 - 2*r. Let x(p) = 0. Calculate p.
-1, -1/15, 1
Let o(u) be the first derivative of -u**4/7 - 24*u**3 + 2*u**2/7 + 72*u + 1801. Find p such that o(p) = 0.
-126, -1, 1
Let -16/3*r**2 + 14/3*r**3 + 4/3*r**4 - 2/3*r**5 + 0 - 8*r = 0. What is r?
-2, -1, 0, 2, 3
Factor -390/7*m - 104/7*m**2 - 2/7*m**3 - 288/7.
-2*(m + 1)*(m + 3)*(m + 48)/7
Suppose 0 - 22/7*l**3 + 2/7*l**5 + 72/7*l + 4/7*l**4 - 24/7*l**2 = 0. What is l?
-3, 0, 2
Determine f, given that -27/7*f**3 + 0 - 45/7*f - 3/7*f**4 - 69/7*f**2 = 0.
-5, -3, -1, 0
Let v be (-198440)/(-7995) + (-4)/26. Determine y, given that 20/3 - v*y**2 + 8/3*y**3 - 62/3*y = 0.
-1, 1/4, 10
Suppose -5*y + 168 = 2*x, 0 = 2*y - 2*x - 10 - 46. Suppose -y = -6*b - 2. Factor 0 + 0*f**3 - f**4 + f**2 + 1/2*f**b - 1/2*f.
f*(f - 1)**3*(f + 1)/2
Solve 38/5*q**2 - 18/5 + 27/5*q - 7/5*q**3 = 0.
-1, 3/7, 6
Suppose -4*n + 7*n - 12 = 2*y, -15 = 5*y. Suppose -n*t - 3*t = -10. Factor m**2 - 3*m + m**4 + 4*m - m + t*m**3.
m**2*(m + 1)**2
Let n(m) = m + 14. Let c be n(-3). Suppose 6*i + c = 35. Factor 12*x - 7*x**2 + 3*x**i + 25*x**2 + 4*x**3 + 8*x**3 + 3.
3*(x + 1)**4
Let a = -735 + 739. Let x be 6*(6/8 - 1/a). Let 2/7*m**x + 384/7*m + 48/7*m**2 + 1024/7 = 0. Calculate m.
-8
Let m = 12936 - 12936. Let d(a) be the second derivative of 32*a + 7/40*a**6 - a**3 + 9/4*a**4 - 9/8*a**5 + m*a**2 + 0. Factor d(y).
3*y*(y - 2)**2*(7*y - 2)/4
Solve -30/17*d**2 - 12/17*d**3 + 2/17*d**4 + 88/17*d + 168/17 = 0 for d.
-2, 3, 7
Let m = 6589 - 6585. Let c(n) be the third derivative of 0*n**3 + 0*n + 0*n**m + 21*n**2 - 1/15*n**6 + 0 + 2/105*n**7 + 1/15*n**5. Factor c(t).
4*t**2*(t - 1)**2
Let z be (-17 + (-935)/(-55))/(-20). Let 32/5*g**3 + 24/5*g**2 + z - 6/5*g**5 - 2*g**4 + 0*g = 0. Calculate g.
-3, -2/3, 0, 2
Let x(l) be the third derivative of -2/3*l**3 - 17*l**2 + 1/6*l**4 + 13/60*l**5 + 1/24*l**6 + 0*l + 0. Factor x(h).
(h + 1)*(h + 2)*(5*h - 2)
Let a = -49 - -51. Let y be (-9)/(-6)*(0 + a). Solve -117*k + 119*k + 8 - 2*k**y + 2*k**4 - 4 - 6*k**2 = 0 for k.
-1, 1, 2
Let 413/3*b - 206/3 + 1/3*b**3 - 208/3*b**2 = 0. Calculate b.
1, 206
Solve 67/4 - 65/8*f - 1/8*f**2 = 0.
-67, 2
Let b = 6346/7 + -101529/112. Let d(o) be the second derivative of -1/2*o**3 + b*o**4 - 20*o - 9/2*o**2 + 0. Factor d(j).
3*(j - 6)*(j + 2)/4
Let g be 62/14 + 7 + (-468)/63. Suppose -3*l**5 + l**3 + 11*l**3 - 107*l**g + 104*l**4 + 12*l**2 = 0. Calculate l.
-2, -1, 0, 2
Factor -257/7*n - 1/7*n**2 + 258/7.
-(n - 1)*(n + 258)/7
Let k(l) be the first derivative of 119 - 2/3*l**3 + 0*l - 12*l**2. Factor k(x).
-2*x*(x + 12)
Suppose -10*q + 2 = -8*q. Let f be (q/2)/(-32 + 35). Determine o, given that f*o**2 + 0 - 2/3*o = 0.
0, 4
Let c = 3229 - 3224. Let n(q) be the first derivative of 0*q**4 - 24 + 0*q - 2/33*q**3 + 0*q**2 + 2/55*q**c. Let n(t) = 0. What is t?
-1, 0, 1
Let z be 472*(-1 + 2)*3/6. Factor z*a**3 + 68*a**2 - 12 - 196*a**3 + 15*a + a.
4*(a + 1)**2*(10*a - 3)
Let d(z) be the second derivative of -1/10*z**6 + 1/4*z**4 + 0*z**2 + 0 + 1/3*z**3 - 8*z - 1/42*z**7 - 1/20*z**5. Factor d(x).
-x*(x - 1)*(x + 1)**2*(x + 2)
Suppose -10 = 2*q - 2*f, -2*q = 5*f + 1 - 40. Let u(m) be the second derivative of -22*m + 7/12*m**3 + 1/24*m**4 + 0 + 3/2*m**q. Factor u(y).
(y + 1)*(y + 6)/2
Suppose 23*h - 11*h = -24. Let q(b) = -2*b**2 - 1. Let r(z) = 14*z**3 - 30*z**2 - 14. Let j(p) = h*r(p) + 28*q(p). Factor j(d).
-4*d**2*(7*d - 1)
Let w = 18852 - 18848. Factor 16/3 - w*m + 0*m**2 + 1/3*m**3.
(m - 2)**2*(m + 4)/3
Let h(a) = a**3 - 8*a**2 + 7*a. Let w be h(7). Let s(x) = -2*x**3 + x**2 - 2*x + 2. Let d be s(w). Factor -20 - 20*p + 0*p**2 + 0*p**2 - 4*p**2 - p**d.
-5*(p + 2)**2
Let z(p) be the third derivative of -p**7/105 - 17*p**6/60 - 17*p**5/10 + 157*p**4/12 - 88*p**3/3 + 163*p**2 - 3*p. Solve z(x) = 0 for x.
-11, -8, 1
Let b(p) = p**2 + 10*p. Let k(c) = -12*c**3 - 172*c**2 + 896*c + 720. Let w(i) = 8*b(i) + k(i). Let w(x) = 0. Calculate x.
-18, -2/3, 5
Factor -5/4*u + 3/2 + 1/4*u**2.
(u - 3)*(u - 2)/4
Let a(w) be the first derivative of 1/30*w**5 + 27/2*w + 151 + 2/3*w**4 - 12*w**2 + 23/9*w**3. What is z in a(z) = 0?
-9, 1
Suppose -x + 100 = 2*y, 2*y = 3*x + 46 + 62. Let v = -48 + y. Find i, given that -14/11*i - 10/11*i**2 + 10/11*i**v + 14/11*i**4 - 4/11 + 4/11*i**5 = 0.
-2, -1, -1/2, 1
Suppose 2*i = -0 + 4. Determine k, given that -91 - 90 - 5*k**i + 186 + k - k**3 = 0.
-5, -1, 1
Suppose 3*z + 33*g - 31*g = -38, 3*z = 3*g - 18. Let i(f) = 37*f + 370. Let x be i(z). Solve -3/8*y + 3/8*y**3 - 3/8*y**2 + 3/8*y**4 + x = 0.
-1, 0, 1
Suppose 5 = 5*f, -616 = -4*s + 3*f + 209. Let m = s - 1029/5. What is c in 2/5*c**2 + 0 - m*c = 0?
0, 3
Let x(o) be the second derivative of -o**4/4 - 5*o**3/6 + 8*o**2 - 163*o. Let v(w) = 12*w**2 + 21*w - 63. Let g(q) = 2*v(q) + 9*x(q). Factor g(b).
-3*(b - 2)*(b + 3)
Let v(t) = -t**2 + 38*t + 39. Let h be v(17). Factor -h*u**2 - 398*u**2 + 790*u**2 - 8*u.
-4*u*(u + 2)
Let p(h) be the first derivative of -2*h**3/63 + 260*h**2/21 + 704*h/7 - 10069. Suppose p(a) = 0. Calculate a.
-4, 264
Let q be (10/8)/((-5)/(-120 - 0)). Suppose -2*p - 10 = -q. Factor 5*r**3 + 0*r - 19*r + 4*r + p.
5*(r - 1)**2*(r + 2)
Let h(t) = -31 + 5*t**2 + 9 - 14*t**2 + 1 + 30*t. Let p(k) = k**2 - 2*k - 1. Let z(i) = h(i) + 6*p(i). Factor z(r).
-3*(r - 3)**2
Let g(c) be the second derivative of c**7/168 - c**6/12 - 19*c**3/3 + 58*c. Let b(f) be the second derivative of g(f). Let b(q) = 0. Calculate q.
0, 6
Let q(a) = a**2 - 30*a - 172. Let u be q(-5). Let t(r) be the first derivative of -1/4*r**4 - 15 + 0*r - 5/3*r**u + 6/5*r**5 + r**2. Find z such that t(z) = 0.
-1, 0, 1/2, 2/3
Let l(r) be the first derivative of 0*r - 1/20*r**5 - 19 + 2/3*r**3 - 6*r**2 + 5/16*r**4. Suppose l(i) = 0. Calculate i.
-3, 0, 4
Let n(v) be the first derivative of -2*v**6/5 - 33*v**5/20 + 3*v**4/4 + 59*v + 8. Let h(p) be the first derivative of n(p). Let h(w) = 0. What is w?
-3, 0, 1/4
Suppose 0 = -w + 4*w - 6. Let -6*o + 32 - 7 - 3*o + o**w - o = 0. Calculate o.
5
Let g be ((-3210)/(-3745))/(5/(-14) - -1). Solve 2/15*i**2 - g - 2/5*i = 0 for i.
-2, 5
Let k = 60/2081 - -37038/14567. Let 0*l + k - 2/7*l**2 = 0. Calculate l.
-3, 3
What is d in 36 + 2/7*d**3 + 32/7*d**2 - 198/7*d = 0?
-21, 2, 3
Let n(y) be the second derivative of 4*y**6/105 - 43*y**5/70 - 185*y**4/14 - 1352*y**3/21 - 304*y**2/7 - 91*y - 7. What is d in n(d) = 0?
-4, -1/4, 19
Let o(b) = -5*b**4 + 81*b**3 - 309*b**2 + 413*b - 180. Let r(v) = 5*v**4 - 82*v**3 + 308*v**2 - 411*v +