z**5 + 91/3*z**3 - 241 - 1/24*z**6 - 49/2*z**2. Factor t(r).
-r*(r - 1)**2*(r + 14)**2/4
Suppose a - 89 = -5*g - 12, 0 = 4*g - 60. Factor 32/3*s**a + 0 + 8*s + 26/9*s**3 + 2/9*s**4.
2*s*(s + 1)*(s + 6)**2/9
Let j be 15*(2 - 1)*(-6)/(-9). Let d be 16/8*(12 - j). Solve -196/9*t**d + 868/9*t**3 - 368/9*t - 64/9 - 80/3*t**2 = 0.
-2/7, 1, 4
Let 35*f + 54 - 1/9*f**3 + 16/3*f**2 = 0. Calculate f.
-3, 54
Let d(m) = m**2 + 15*m + 50. Let f be d(-17). Let z be (-280)/f*3/(15/(-2)). Factor z*p + 2/3*p**2 + 0.
2*p*(p + 2)/3
Let r be 2/5 + (-83)/(-5). Suppose -4*c + 2*c - 75 = -5*x, 0 = x + 4*c - 15. Suppose x*a - 3*a**4 + 0*a + a - r*a**4 - 28*a**3 + 32*a**2 = 0. What is a?
-2, -2/5, 0, 1
Let 0 + 13/6*a**2 + 7/6*a**3 - 1/6*a**4 - 1/6*a**5 + a = 0. What is a?
-2, -1, 0, 3
Let m = 60 + 168. Let 239 + 153 + m*z - 54 - 280*z + 2*z**2 = 0. Calculate z.
13
Let k(a) be the second derivative of 2/5*a**5 - 33*a + 32/3*a**3 + 2/135*a**6 + 0 + 97/27*a**4 + 128/9*a**2. Factor k(y).
4*(y + 1)**2*(y + 8)**2/9
Let g(y) = -y**3 + 12*y**2 + 14*y - 164. Let o be g(12). Factor -1/8*w**5 - 17/8*w**3 + 0 + w**2 + 0*w + 5/4*w**o.
-w**2*(w - 8)*(w - 1)**2/8
Let a(l) be the second derivative of -l**5/40 + 157*l**4/24 + l**3/12 - 157*l**2/4 + 82*l - 3. Let a(d) = 0. What is d?
-1, 1, 157
Suppose 10*f = 1448 - 728. Let u be (f/20 - 4)*-45. Factor 6*k - 1/2*k**2 - u.
-(k - 6)**2/2
Let c(k) be the first derivative of -1/2*k**4 - 10/3*k + 2/9*k**3 + 67 + 7/3*k**2. Find f, given that c(f) = 0.
-5/3, 1
Let r = 1703 + -1697. Let h(b) be the second derivative of 0 + 2/15*b**5 - 4/9*b**3 - 18*b + 1/30*b**r - 2/3*b**2 + 1/36*b**4. Let h(g) = 0. What is g?
-2, -1, -2/3, 1
Let u(t) = 117*t + 90*t - 79 + 39 - 158 - 9*t**2. Let c(y) = -8*y**2 + 207*y - 199. Let o(m) = -6*c(m) + 5*u(m). Factor o(b).
3*(b - 68)*(b - 1)
Let k(w) be the first derivative of -w**4/16 - 51*w**3/2 - 22785*w**2/8 + 24025*w - 4766. Find j such that k(j) = 0.
-155, 4
Let n(t) be the first derivative of t**4 + 16*t**3/3 - 64*t**2 - 640. Factor n(j).
4*j*(j - 4)*(j + 8)
Let h(d) be the third derivative of 7*d**4/24 - 299*d**3/6 - 326*d**2. Let j be h(43). Suppose -1/3*w**j + 1/3*w + 2 = 0. Calculate w.
-2, 3
Let d(o) = o**3 - 21*o**2 - 378*o + 7839. Let v be d(18). Find a, given that -3/8*a**2 - 2646 - v*a = 0.
-84
Let x = 374 - 399. Let c be x/(-110) + (18/(-4))/(-9). Factor -6/11*s**4 + 0*s - c*s**2 + 16/11*s**3 + 0.
-2*s**2*(s - 2)*(3*s - 2)/11
Factor 197341 + 1494*r + 423374 + 247*r - 134617 + 231*r + 2*r**2.
2*(r + 493)**2
Let n(q) be the first derivative of 5*q**3/3 + 7460*q**2 + 11130320*q + 1166. Let n(p) = 0. Calculate p.
-1492
Let z = -85708 + 85708. Factor -84/5*i**3 - 3*i**5 + z*i + 24/5*i**2 + 0 + 66/5*i**4.
-3*i**2*(i - 2)**2*(5*i - 2)/5
Suppose -344 + 1452*q**2 + 5*q - 5*q**3 + 1432*q**2 - 26 - 2514*q**2 = 0. Calculate q.
-1, 1, 74
Let n be (-3)/1 + (-87594)/(-29094). Let b = 381/746 - n. What is g in -g**2 + 1/2*g**3 + b*g + 0 = 0?
0, 1
Let k(r) be the first derivative of -16/11*r + 7/11*r**2 + 161 + 2/33*r**3. Determine m, given that k(m) = 0.
-8, 1
Let l be 9/24 + 9542/(-1040) + 9. Let z(w) be the second derivative of 2/3*w**3 - 2/3*w**4 + 0 + 1/15*w**6 - l*w**5 - 27*w + 3*w**2. Let z(r) = 0. What is r?
-1, 1, 3
Let u(l) be the first derivative of l**4/18 - 166*l**3/27 + 18*l**2 - 1806. Factor u(s).
2*s*(s - 81)*(s - 2)/9
Factor -3000/11*f**2 - 1/11*f**4 + 0 + 115/11*f**3 - 18000/11*f.
-f*(f - 60)**2*(f + 5)/11
Let i(m) be the second derivative of -m**5/10 - 29*m**4/2 - 741*m**3 - 13689*m**2 + 1766*m. Factor i(c).
-2*(c + 9)*(c + 39)**2
Suppose 57*j + 84 = 51*j. Let d be j/2 + (-468)/(-60). Solve -2/5*n - 2/5*n**2 + d = 0.
-2, 1
Let p be (35/60)/(((-280)/(-336))/((-80)/(-252))). Factor p*x**3 + 44/9*x - 26/9*x**2 + 0.
2*x*(x - 11)*(x - 2)/9
Let o be (167/668)/((-2)/(-8))*0. Determine n so that -10/11*n**4 + 10/11*n**2 + 6/11*n**5 + o - 2/11*n**3 - 4/11*n = 0.
-1, 0, 2/3, 1
Let j(o) be the second derivative of -o**5/4 - 905*o**4/12 - 6900*o**3 - 20250*o**2 + 466*o. Let j(c) = 0. Calculate c.
-90, -1
Let z be 612/(-18) + 30 - -9. Factor -114/7*l**2 - 75/7*l**3 - 3/7*l**z - 12*l - 24/7 - 24/7*l**4.
-3*(l + 1)**2*(l + 2)**3/7
Let c = 41437 - 124303/3. Let -4/3*l**3 + c - 8/3*l**2 + 4/3*l = 0. What is l?
-2, -1, 1
Let o(c) be the first derivative of -50 - 95/3*c**3 + 5/4*c**4 + 175/2*c**2 - 85*c. Let o(j) = 0. Calculate j.
1, 17
Let i(r) = -5*r**2 - r. Let x(q) = -13*q**2 - 17*q - 196. Let g(z) = -6*i(z) + 2*x(z). Determine v, given that g(v) = 0.
-7, 14
Let v(q) be the third derivative of -q**8/33600 + q**7/8400 + 13*q**5/20 + 62*q**2. Let a(p) be the third derivative of v(p). Solve a(d) = 0.
0, 1
Let u = 249/12410 + -2/31025. Let v(r) be the second derivative of 1/10*r**4 + 29*r + 0 - 8/5*r**2 + 2/5*r**3 - u*r**5. What is l in v(l) = 0?
-2, 1, 4
Let m = -2011435/7 + 287357. Suppose -4/7*a**2 - 16 + m*a = 0. What is a?
2, 14
What is i in 15/2*i**2 + 1/2*i**3 + 0 + 18*i = 0?
-12, -3, 0
Let c be (-108)/48*368/(-3). Let 294*a**2 - 4 + 3 + 75*a**3 + 2 + c*a - 25 = 0. Calculate a.
-2, 2/25
Factor 0 - 2479270052*p - 4560276*p**2 - 4/7*p**4 - 2796*p**3.
-4*p*(p + 1631)**3/7
Let f(x) be the second derivative of x**5/70 - 85*x**4/14 + 758*x**3/21 - 72*x**2 + 4533*x. Factor f(t).
2*(t - 252)*(t - 2)*(t - 1)/7
Let x = 42 + -34. Let d(f) = 4*f - f**2 + 3*f + x*f**2. Let b(n) = -6*n**2 - 6*n. Let w(o) = 5*b(o) + 4*d(o). Factor w(h).
-2*h*(h + 1)
Let p(i) be the second derivative of i**6/450 - i**5/150 - i**4/15 - 7*i**3/6 - 2*i**2 + i + 4. Let d(v) be the second derivative of p(v). Factor d(b).
4*(b - 2)*(b + 1)/5
Let r = -309967/3 + 103329. Factor -6 + h**3 + 13*h - r*h**2.
(h - 3)**2*(3*h - 2)/3
Let x(q) = 49*q - 42. Let p be x(3). Suppose -35 = 14*z - p. Find t, given that 1/3*t**z - 1/3*t**4 + 1/3*t**2 - 1/3*t**3 + 0*t + 0 = 0.
-1, 0, 1
Let b(g) = 3. Let n(f) = -f**2 + 25*f + 3975 + 4*f**2 - 3*f**2 + f**2 + 101*f. Let z(q) = 6*b(q) - 3*n(q). Factor z(d).
-3*(d + 63)**2
Let a be 4 + (-92)/(-24) - 637/98. Suppose 4/3*c**2 - 8/3*c + a = 0. What is c?
1
Factor -3/2*l**3 - 453/2*l - 123/2*l**2 - 333/2.
-3*(l + 1)*(l + 3)*(l + 37)/2
Let w(k) = k**3 + 15*k**2 - 29*k - 224. Let b be w(-17). Let p = b + 309. Solve 10/9*v + p - 2/9*v**2 = 0.
0, 5
Find i such that 2/3*i**2 - 1568/3*i + 307328/3 = 0.
392
Let l = -51/1498 - -400/749. Factor -1/4 + 1/4*t + l*t**2.
(t + 1)*(2*t - 1)/4
Let y(h) be the second derivative of -h**6/60 - 13*h**5/10 - 121*h**4/4 - 325*h**3/3 - 625*h**2/4 + 1227*h - 3. Factor y(x).
-(x + 1)**2*(x + 25)**2/2
Suppose 157*s = 108*s + 245. Let l(x) be the first derivative of 5/6*x**6 + 0*x + 0*x**2 + 24 - 7*x**s + 80/3*x**3 + 10*x**4. Factor l(b).
5*b**2*(b - 4)**2*(b + 1)
Suppose -5*i + 16 = 1. Let h = 134/711 + 266/79. Factor -14/9*s**2 + 2/9*s + 0 + 16/9*s**i + h*s**4.
2*s*(s + 1)*(4*s - 1)**2/9
Let y be (5/(-8))/(3845/(-21532)). Factor 49/4 + 1/4*a**2 - y*a.
(a - 7)**2/4
Let y = 1939 - 1936. Let l(i) be the second derivative of 25*i - 1/10*i**2 + 0 - 1/20*i**y - 1/120*i**4. Factor l(r).
-(r + 1)*(r + 2)/10
Let h(n) be the second derivative of n**4/12 + 133*n**3/3 - 807*n**2/2 - 644*n. Solve h(s) = 0 for s.
-269, 3
Let n(x) be the third derivative of x**5/300 + x**4/4 + 88*x**3/15 + 2538*x**2. What is v in n(v) = 0?
-22, -8
Let j(y) be the second derivative of -y**4/66 - 49*y**3/33 + 102*y**2/11 - 60*y - 6. Let j(b) = 0. What is b?
-51, 2
Let k(m) be the first derivative of m**6/36 - 11*m**5/30 + 7*m**4/12 + 22*m**3/9 - 6*m**2 + 1699. Factor k(r).
r*(r - 9)*(r - 2)**2*(r + 2)/6
Let t(o) be the second derivative of 5*o**7/294 + 9*o**6/10 - 43*o**5/140 - 9*o**4/4 + 19*o**3/21 + 2908*o. Suppose t(y) = 0. Calculate y.
-38, -1, 0, 1/5, 1
Let n(o) = -2*o**3 + o**2 + o + 1. Let v = -115 - -112. Let y(d) = 11*d**3 + 12*d**2 - 93*d - 3. Let b(w) = v*n(w) - y(w). Factor b(l).
-5*l*(l - 3)*(l + 6)
Let w(k) be the first derivative of -8*k**4 - 237 - 4/3*k**3 + 16*k**2 + 4/5*k**5 + 0*k. Determine o so that w(o) = 0.
-1, 0, 1, 8
Let z(x) be the first derivative of -x**6/3 + 13*x**4/2 + 32*x**3/3 - 12*x**2 - 32*x - 290. Suppose z(h) = 0. What is h?
-2, -1, 1, 4
Suppose -2*n + 3*f = -3*n + 5, -2*n + 8 = 4*f. Suppose -4*c = -2*o - n, 2*o - 2*c - 3 = -3*o. Factor -6*x + 5 - 1 - 3*x**2 - 8 + o.
-3*(x + 1)**2
Let y(b) = -4