15 - 128*h**2/5 + 1056*h/5 - 1390. What is a in q(a) = 0?
-132, 4
Solve 1184*a**2 - 6628*a + 1282*a**2 - 6624 - 2470*a**2 = 0 for a.
-1656, -1
Find a, given that -1/6*a**2 - 2/3 + 4/3*a - 1/2*a**3 = 0.
-2, 2/3, 1
Let v be (-180)/(3/6*(2 - 0)). Let f be ((-1184)/v - 6) + 8/36. Determine r, given that -14/5*r**2 + 2 + f*r = 0.
-5/7, 1
Let j(o) be the third derivative of -o**7/525 + 281*o**6/150 + 1127*o**5/150 + 47*o**4/5 + 241*o**2 + o - 1. Let j(r) = 0. What is r?
-1, 0, 564
Let j be (26 + -1)*6/30. Factor 6*f**3 - 89599 - 7*f**3 - 432*f**2 + 12879 + 15552*f - 109904 + j*f**3.
4*(f - 36)**3
Let p(m) be the third derivative of -m**8/15120 + m**7/756 + m**6/90 + m**5/60 - 2*m**2 + 12*m. Let k(v) be the third derivative of p(v). Factor k(u).
-4*(u - 6)*(u + 1)/3
Suppose -5*q + 5 = -25. Suppose -35 = -q*k + 1. Find z, given that 24*z + 25 - 3*z**2 - 4 + k*z**2 + 0*z**2 = 0.
-7, -1
Suppose 0*x**2 - 132898 + 439*x - x**2 + 701*x - 192002 = 0. Calculate x.
570
Factor -3*j**3 + 0 - 152/5*j**2 - 4*j.
-j*(j + 10)*(15*j + 2)/5
Find p, given that 26/9*p**4 + 0*p + 2/9*p**5 + 32/3*p**3 + 0 + 8*p**2 = 0.
-6, -1, 0
Suppose 0 = 4*j + 3*u - 7, 0*u + 10 = j - 2*u. Suppose 4*r**j - 96*r - 209*r - 5*r**4 - 24*r**3 - 192*r**2 - 207*r = 0. What is r?
-8, 0
Let m(w) be the third derivative of -7*w**6/40 - 51*w**5/20 - 7*w**4/4 + 296*w**2. Factor m(t).
-3*t*(t + 7)*(7*t + 2)
Let r = 63409/6 - 10568. Let m(i) be the third derivative of 0*i**3 + 0 + r*i**5 + 19*i**2 + 0*i - 1/24*i**6 - 5/24*i**4. Let m(x) = 0. What is x?
0, 1
Let q(p) = 4*p**2 - 36*p + 86. Let u be q(4). Let j be u*(2 + (-9)/6). Factor 12/17*y**2 - 12/17 + 2/17*y - 2/17*y**j.
-2*(y - 6)*(y - 1)*(y + 1)/17
Let y be (-12 + -1 + 3)*(513/95)/(-27). Let h(i) be the second derivative of -8/11*i**3 - 1/110*i**5 - 19*i - 3/22*i**4 + 0 - 16/11*i**y. Factor h(o).
-2*(o + 1)*(o + 4)**2/11
Determine f so that 0 - 16/3*f**3 - 4*f**2 + 0*f - 7/3*f**4 - 1/3*f**5 = 0.
-3, -2, 0
Factor -4284 - 85*q**2 - 97*q**2 - 126*q**2 + 162*q + 310*q**2.
2*(q - 21)*(q + 102)
Let v(r) = 17*r**4 + 13*r**3 - 3*r**2. Let j(b) = -b - 12. Let u be j(-10). Let z(x) = x**4 + x**3 - x**2. Let k(y) = u*z(y) - 2*v(y). What is l in k(l) = 0?
-1, 0, 2/9
Let p(f) = -f**4 - 110*f**3 - 3543*f**2 - 6492*f + 12. Let b(x) = -2*x**4 - 221*x**3 - 7075*x**2 - 12985*x + 22. Let z(q) = 6*b(q) - 11*p(q). Factor z(j).
-j*(j + 2)*(j + 57)**2
Let t be (-3)/(-1) - (-22)/(-11). Let z be (t*66)/((-8)/(-4)). Factor 16*s - z*s + 13*s + 4*s**3.
4*s*(s - 1)*(s + 1)
Let g(l) be the third derivative of 8*l**2 - 1/350*l**7 + 0*l**5 + 0 - 1/100*l**6 + 1/20*l**4 + 0*l + 1/10*l**3. Factor g(j).
-3*(j - 1)*(j + 1)**3/5
Let v(j) = 80*j**2 + 305*j + 511. Let c(o) = 14*o**2 + 51*o + 85. Let y(z) = -34*c(z) + 6*v(z). Factor y(a).
4*(a + 2)*(a + 22)
Factor -2/9*u**3 - 424/3*u**2 - 1688/3*u - 5056/9.
-2*(u + 2)**2*(u + 632)/9
Suppose 4*c - p - 86 = 32, -5*p + 135 = 5*c. Suppose -3*j = -5*w + 6, 3*j - 18 = 26*w - c*w. Determine f so that -3/7*f + 0 + 1/7*f**j + 2/7*f**2 = 0.
-3, 0, 1
Let m = 42895/268 - -80/67. Let x = m - 161. Factor x*d**2 - 1/4*d + 0.
d*(d - 1)/4
Let h(o) be the first derivative of -7/2*o**4 + 206/3*o**3 - 106 - 68*o**2 - 56*o. Solve h(i) = 0.
-2/7, 1, 14
Let q(c) be the second derivative of 5*c**7/42 - 23*c**6/12 + 23*c**5/8 + 205*c**4/12 - 155*c**3/3 + 50*c**2 - 4*c + 1. Solve q(u) = 0 for u.
-2, 1/2, 1, 2, 10
Let b(p) = -p**3 - 3*p**2 + p + 8. Let s be b(-2). Factor 5*z**3 - 42*z**s - 3*z**3 - 54*z + 14*z - 4*z**3.
-2*z*(z + 1)*(z + 20)
Let o be (2/4)/(310/10 + -56 + 27). Let t be (-2)/(-4)*2/2. Suppose 1/2*v**3 - 1/8*v**4 - t*v - o*v**2 + 3/8 = 0. What is v?
-1, 1, 3
Suppose 5*a - 355 = 4*j, j + 568 = 8*a - 3*j. Suppose 0 = 8*o + a - 87. Factor -3 - 12*w**o + 21/2*w + 3*w**3 + 3*w**4 - 3/2*w**5.
-3*(w - 1)**4*(w + 2)/2
Let c be (-1)/(3/(-42)) - -3. Suppose 48 = 2*z - j, 4*j - 29 = -z + 2*j. Factor 153*m**4 + c*m**4 + 15 + 120*m**2 - z + 230*m**3 + 5*m + 45*m**5.
5*(m + 1)**4*(9*m - 2)
Let n(g) be the third derivative of -g**6/1620 - g**5/180 - 21*g**3/2 - g**2 - 8*g. Let j(u) be the first derivative of n(u). Factor j(o).
-2*o*(o + 3)/9
Let q(j) be the first derivative of -2*j**6/9 + 4*j**5/3 - j**4 - 52*j**3/9 + 16*j**2/3 + 16*j - 146. Solve q(y) = 0 for y.
-1, 2, 3
Suppose -31 - 9 = -5*b. Let h(n) = n**3 - 8*n**2 + 8*n + 1. Let q be h(b). Let q*l**2 + 3*l**4 - 60*l + 2*l**4 + 11 - 30*l**3 + 9 = 0. What is l?
1, 2
Let k be -2*9/(-12)*2. Let d be (9/(-27) - (-11)/(-3)) + (2 - -2). Determine b so that -9/2*b**2 + 6 + d*b - 3/2*b**k = 0.
-2, 1
Let v be (-5)/(-20)*37764/(-27). Let x = v + 350. Let 1/3*y**2 + 1/3*y - 1/3 - x*y**3 = 0. What is y?
-1, 1
Let b be 6/((-264)/275)*(-12)/(-231). Let q = 13/11 + b. Factor 12*m + 42 + q*m**2.
6*(m + 7)**2/7
Let m(q) be the second derivative of -2*q + 1/2*q**5 - 5*q**4 + 8*q**2 + 20 - 20/3*q**3 + 7/15*q**6. Find z such that m(z) = 0.
-2, -1, 2/7, 2
Find q, given that 95*q**3 + 88*q**3 - 18*q**2 - 5*q + 2*q**4 - 3*q - 183*q**3 + 24 = 0.
-2, 1, 3
Factor 171/5 - 28/5*v + 1/5*v**2.
(v - 19)*(v - 9)/5
Let k(o) = -o + 28. Let d be k(0). Suppose -119 = -0*c - 4*c - 5*g, 5*g - 155 = -5*c. Factor -c*n**3 - d*n**2 + 0*n**5 - 20*n - 4*n**5 + 28*n - 16*n - 20*n**4.
-4*n*(n + 1)**3*(n + 2)
Solve 32/5*z - 104/15 - 2/15*z**4 - 8/5*z**3 + 34/15*z**2 = 0 for z.
-13, -2, 1, 2
Let n = -2/7 - 8/21. Let r = 7 - n. Determine t, given that r*t**2 + 4/3 + 7/3*t**3 + 20/3*t = 0.
-2, -1, -2/7
Let i(d) be the second derivative of -73*d + 0 + 0*d**2 + 2/15*d**4 + 11/25*d**5 + 0*d**3 + 6/25*d**6. Factor i(c).
4*c**2*(c + 1)*(9*c + 2)/5
Let h(g) be the second derivative of -12*g**2 + 0 - 66*g - 1/5*g**5 - 4/3*g**4 + 22/3*g**3. Find k, given that h(k) = 0.
-6, 1
Let j(g) be the first derivative of -658*g**3/15 - 327*g**2/5 + 4*g/5 - 1754. Let j(q) = 0. Calculate q.
-1, 2/329
Suppose 94*y - 87*y = 35. Let y*k**4 - 11*k**3 - 9*k**3 - 44*k**2 + 19*k**2 = 0. What is k?
-1, 0, 5
Let l(s) be the first derivative of 36 - 16/3*s + 4/9*s**3 + 2*s**2. Factor l(p).
4*(p - 1)*(p + 4)/3
Suppose 4*q - 5*q + 58 = -a, -q - 122 = 2*a. Let g = 64 + a. What is y in 30*y + 122 - 2*y**g + 18*y**3 - 36*y**2 - y**4 - 131 = 0?
1, 3
Let l(r) be the third derivative of r**8/112 - 6*r**7/245 - 11*r**6/280 + 3*r**5/35 + r**4/14 + 1248*r**2. Let l(k) = 0. What is k?
-1, -2/7, 0, 1, 2
Suppose 4*q + 2 = 6*q. Let p be (0*q/(-5))/(-4). Find t such that -t + p*t + t - 8*t + 4*t**2 + 4 = 0.
1
Suppose 17*g - 26*g = -8082. Let n = -1763/2 + g. Solve -n*w**2 + 3/4*w**3 + 363/4*w + 0 = 0 for w.
0, 11
Let t = -708258/5 + 141652. Factor 12/5*g**3 - 8/5*g**4 - 8/5*g**2 + 0 + t*g**5 + 2/5*g.
2*g*(g - 1)**4/5
Let h(r) be the third derivative of 20 - 1/273*r**7 + 3/13*r**4 + 0*r - 8/39*r**3 - 5/39*r**5 + 9/260*r**6 + 2*r**2. Find k such that h(k) = 0.
2/5, 1, 2
Factor 9/8 + 3/8*g**4 - 3/2*g**2 - 3/4*g**3 + 3/4*g.
3*(g - 3)*(g - 1)*(g + 1)**2/8
Let o(a) be the first derivative of -8/27*a**3 + 76 - 1/18*a**4 + 0*a - 4/9*a**2. What is q in o(q) = 0?
-2, 0
Let k(z) be the second derivative of 7 - 1/315*z**7 + 4/5*z**2 + 3/50*z**5 - 8/45*z**3 + 1/225*z**6 - 13/90*z**4 + z. Solve k(d) = 0 for d.
-3, -1, 1, 2
Let x be (1 + 124/10)/(364/130). Let h = x + -7/2. Factor -1/7*a**5 - h*a**3 + 0*a + 0*a**2 - 6/7*a**4 + 0.
-a**3*(a + 3)**2/7
Suppose -2*f + 28 = -2*z, 60*z - 5*f = 58*z - 70. Factor z + 1/6*r**5 - 13/3*r**2 + 4/3*r**4 - 1/2*r**3 - 8/3*r.
r*(r - 2)*(r + 1)**2*(r + 8)/6
Let l be ((-5)/3)/((-15)/18). Suppose -544*d + 117 = -505*d. Suppose -6*u - 4*u**l - 2/3*u**d + 0 = 0. What is u?
-3, 0
Suppose p + s + 1122 - 1135 = 0, 4*p = -2*s + 32. Factor -17/4*r**2 - 9/2*r + 2 - 3/4*r**p.
-(r + 2)*(r + 4)*(3*r - 1)/4
Let u(v) be the second derivative of v**4/30 + 56*v**3/15 - 48*v**2 + 1473*v. Find g, given that u(g) = 0.
-60, 4
Let t(a) be the first derivative of 82/3*a + 72 + 2/9*a**3 - 14*a**2. Factor t(i).
2*(i - 41)*(i - 1)/3
Let t(w) be the second derivative of w**5/5 + 61*w**4/3 - 220*w**3 - 8*w + 277. Factor t(k).
4*k*(k - 5)*(k + 66)
Let d(a) be the first derivative of -9*a**4 + 616*a**3 - 10880*a**2 - 51200*a + 1579. Factor d(o).
-4*(o + 2)*(3*o - 80)**2
Suppose b + 262*n + 44 = 258*n, 0 = 2*n + 22. Determine w, given that -3/2*w**4 - 27/2*w**2 - 9*w**3 + b + 0*w = 0.
-3, 0
Let x = 92359/44320