d = 0?
-1, 385
Suppose -16*q + 50 = 9*q. Solve -21 + 2*n**2 - n**q + 27 - 51*n + 44 = 0 for n.
1, 50
Let a be (1270 - (-4 - 7)) + 0. Suppose -a = 15*t - 1311. What is u in 1/2*u + 0 + 1/4*u**3 - 3/4*u**5 - 7/4*u**4 + 7/4*u**t = 0?
-2, -1, -1/3, 0, 1
Let b(j) be the second derivative of -j**5/15 + 196*j**4/9 + 790*j**3/9 + 132*j**2 + 2*j + 1812. Solve b(d) = 0 for d.
-1, 198
Find u, given that 7447750/9 + 72385/3*u**2 + 1/3*u**4 + 3771925/3*u + 1397/9*u**3 = 0.
-155, -2/3
Let r be -8*((-4)/(-16) - (-2)/(-4)). Suppose r = -20*f + 42. Factor -i**f + 1/2*i**4 + 9/2 - 6*i + 2*i**3.
(i - 1)**2*(i + 3)**2/2
Let h = 21763/31 - 195526/279. Factor -h*x + 1/9*x**3 - 10/9*x**2 + 0.
x*(x - 11)*(x + 1)/9
Let r = -6125 + 6127. Let t(h) be the third derivative of 5/24*h**4 + 0*h**3 + 1/24*h**6 + 0*h + 0 - 2*h**r - 1/6*h**5. Solve t(w) = 0.
0, 1
Factor -1/6*w**2 - 45602/3 + 302/3*w.
-(w - 302)**2/6
Factor 43/2*g**2 - 148*g - 1/2*g**3 + 280.
-(g - 35)*(g - 4)**2/2
Let y be -2 + 1 - (-144)/(-8). Let a = -4 - y. Solve 10*m**2 - 5*m**2 - a - 7 + 2 = 0 for m.
-2, 2
Factor -117/4*y**2 - 1/4*y**4 - 81 + 81*y + 9/2*y**3.
-(y - 6)**2*(y - 3)**2/4
Let j(w) = -52*w**3 + 12573*w**2 + 15743*w + 3158. Let t(g) = 87*g**3 - 20953*g**2 - 26238*g - 5263. Let k(l) = -13*j(l) - 8*t(l). Factor k(o).
-5*(o - 210)*(o + 1)*(4*o + 1)
Factor 4/9*g**2 - 8 - 68/9*g.
4*(g - 18)*(g + 1)/9
Factor -1458 - 1584 - 2305*t + 364*t + 0*t**4 - 295*t - 68*t**3 + 736*t**2 + 2*t**4.
2*(t - 13)**2*(t - 9)*(t + 1)
Let z(g) = 3*g - 11. Let b be z(13). Factor -6 - 17 - 17 - 858*m**2 - b*m + 854*m**2.
-4*(m + 2)*(m + 5)
Let b = -252 - -362. Let v = b + -93. Let -8*d**2 + 22*d - 2*d**3 + 0*d**3 + v - 29 = 0. What is d?
-6, 1
Let x(s) be the first derivative of 1/66*s**6 - 6/55*s**5 - 1/44*s**4 + 38/33*s**3 + 0*s**2 - 32/11*s - 91. What is a in x(a) = 0?
-2, -1, 1, 4
Let m = 6808/5 - 1361. Let z(u) be the second derivative of 1/6*u**4 + 2/15*u**3 + 0 - m*u**2 - 14*u. Factor z(p).
2*(p + 1)*(5*p - 3)/5
Let y(m) be the third derivative of m**8/728 - 16*m**7/1365 - m**6/780 + 37*m**5/195 - 2*m**4/13 + 1876*m**2. Suppose y(v) = 0. What is v?
-2, 0, 1/3, 3, 4
Let y(d) be the third derivative of -d**8/1344 + d**7/420 + d**6/20 - 695*d**2 + 2*d. Factor y(g).
-g**3*(g - 6)*(g + 4)/4
Let n(g) be the third derivative of -g**5/270 + 187*g**4/54 - 34969*g**3/27 + 215*g**2. Factor n(u).
-2*(u - 187)**2/9
Let c(s) be the third derivative of -41*s**7/735 - 71*s**6/105 - 99*s**5/35 - 27*s**4/7 + 9*s**3/7 + 4*s**2 + 17. What is d in c(d) = 0?
-3, -1, 3/41
Let z(v) = -11*v**2 + 4097*v + 4193. Let d(q) = -15*q**2 + 6145*q + 6279. Let g(l) = -5*d(l) + 7*z(l). Factor g(x).
-2*(x + 1)*(x + 1022)
Factor -124 - 1670/3*d + 6*d**2.
2*(d - 93)*(9*d + 2)/3
Let c(b) be the second derivative of b**7/70 - 3*b**6/10 + 11*b**5/20 + 20*b**2 - 2*b - 19. Let i(g) be the first derivative of c(g). Find a such that i(a) = 0.
0, 1, 11
Let x(n) = -26*n**3 - 22*n**2 + 112*n + 120. Let m(s) = -30*s**3 - 23*s**2 + 113*s + 120. Let d(g) = -6*m(g) + 7*x(g). Let d(w) = 0. What is w?
-12, -1, 5
Let b be (-72)/612 + 222/153 + 0. Solve -1/3*d**2 - 4/3 - b*d = 0 for d.
-2
Let t = 25257 + -25257. Let r(i) be the first derivative of 52/5*i**5 - 2*i**6 - 16*i**4 + 0*i + t*i**2 + 16/3*i**3 - 22. Find q, given that r(q) = 0.
0, 1/3, 2
Let u(y) be the first derivative of y**6/6 - y**5/2 - 35*y**4/8 - 20*y**3/3 - 3*y**2 + 1800. Determine z so that u(z) = 0.
-2, -1, -1/2, 0, 6
Let o(m) = -m**3 + m**2 - m + 1. Let a = -194 + 195. Let n(i) = 9*i**3 + 85*i**2 + 83*i - 27. Let q(k) = a*n(k) - 5*o(k). Factor q(h).
2*(h + 2)*(h + 4)*(7*h - 2)
Let i(z) be the second derivative of -z**5/150 - 7*z**4/60 - 2*z**3/3 + 39*z**2 - 4*z + 7. Let r(o) be the first derivative of i(o). Let r(k) = 0. What is k?
-5, -2
Suppose 9559*f - 1772 = 9116*f. Determine r, given that -130/9*r + 10/9*r**f - 28/9 + 82/9*r**3 + 22/3*r**2 = 0.
-7, -2, -1/5, 1
Let r(j) be the third derivative of 0*j + 0*j**3 - 1/300*j**5 + 1/60*j**4 + 58*j**2 + 0. Factor r(m).
-m*(m - 2)/5
Suppose f - c = 20, -2*f + 3*c - 5*c = -20. Let q be (-560)/224*(-3)/(f/2). Find t, given that -1/4*t**3 + t + 1/4*t**2 - q = 0.
-2, 1, 2
Let y(b) = -6*b**3 + 34*b**2 + 194*b - 4. Let f(n) be the second derivative of n**5/20 - n**4/12 - n**3/6 + n**2 - 275*n. Let p(d) = 2*f(d) + y(d). Factor p(k).
-4*k*(k - 12)*(k + 4)
Suppose -3*l + 25*r = 20*r - 39, -4*l = -3*r - 41. Suppose 2*v - l - 2 = 0. Determine q so that -2*q + 8/5*q**4 - 4/5 - 4/5*q**2 + 8/5*q**3 + 2/5*q**v = 0.
-2, -1, 1
Let n = -446396 - -446416. Find g such that -150 + n*g - 2/3*g**2 = 0.
15
Let b = -30 + 34. Suppose -b*w = -z + 42, 2*w + 108 = 4*z - 2*w. Let -6*v**4 + 18*v**3 + z*v**2 - 15*v**5 - 3*v**3 - 16*v**2 = 0. Calculate v.
-1, -2/5, 0, 1
Suppose -1729 = -5*i - 934. Let -35*f**4 - 148 + 307 + 100*f**2 - i + 340*f**3 = 0. What is f?
-2/7, 0, 10
Let j be -25*((7600/2625 - 4/42) + -3). Let v(b) be the first derivative of j*b**2 - 5/4*b**4 + 18 + 0*b + 5/3*b**3. Let v(u) = 0. What is u?
-1, 0, 2
Determine w so that -284*w**2 + 443*w + 773 + 2352*w + 4411 + 4*w**3 + 2101*w = 0.
-1, 36
Let g(k) be the third derivative of -k**5/78 + 629*k**4/156 + 42*k**3/13 + 9*k**2 + 85. Factor g(c).
-2*(c - 126)*(5*c + 1)/13
Let b(w) be the third derivative of w**6/120 - 17*w**5/30 - 3*w**4 + 2075*w**2. Factor b(s).
s*(s - 36)*(s + 2)
Suppose 56 = -0*t - 0*t + 4*t, -3*t = 5*b - 57. Factor -213*m**b - 10152*m**2 - 311469/2 - 165675*m - 3/2*m**4.
-3*(m + 1)*(m + 47)**3/2
Suppose 0 = -1770*v + 1755*v + 45. Factor -2/5*s**v + 6*s - 4/5*s**2 + 72/5.
-2*(s - 4)*(s + 3)**2/5
Suppose -139*q - 17 = -295. Factor -1/7*f - 1/7*f**q + 1/7 + 1/7*f**3.
(f - 1)**2*(f + 1)/7
Let c(a) = 7*a**3 + 170*a**2 - 133*a + 34. Let k(r) = -5*r**3 - 171*r**2 + 145*r - 34. Let d(q) = -5*c(q) - 6*k(q). Determine u, given that d(u) = 0.
1/5, 1, 34
Let c(z) be the second derivative of -3*z**6/2 + 6*z**5 + 85*z**4/12 - 50*z**3/3 - 30*z**2 - 210*z + 5. Determine k so that c(k) = 0.
-2/3, 1, 3
Let o(z) be the first derivative of 6*z + 19/3*z**3 + 25/2*z**2 + 11. Factor o(j).
(j + 1)*(19*j + 6)
Let h(o) be the first derivative of -22 - o**3 - 45/2*o**2 + 48*o. Let h(p) = 0. Calculate p.
-16, 1
Suppose 44*p + 2070 = 282*p - 169*p. Factor 1/2*j**2 + 23/2*j + p.
(j + 3)*(j + 20)/2
Suppose 0*b = 5*b - t - 178, 106 = 3*b - t. Let n = b + 0. Factor -324*p - 47*p**4 + 50*p**4 - n*p**3 + 85 + 162*p**2 + 158.
3*(p - 3)**4
Let p(g) be the second derivative of 5*g**4/12 - g**3/3 - g**2/2 + 8*g. Let s be p(-1). Suppose t**2 - t + t - s + t = 0. What is t?
-3, 2
Let k(b) = b**2 - 7*b + 59. Let q be k(9). Suppose -q*n - 50 = -102*n. Solve 2/11*u**4 + 6/11*u**3 + 12/11 - 6/11*u**n - 14/11*u = 0.
-3, -2, 1
Let a = 912 - 912. Let w(k) be the second derivative of 0*k**3 - 1/3*k**4 + 36*k - 1/20*k**5 + 0 + a*k**2. Determine n, given that w(n) = 0.
-4, 0
Factor -152 + 1/2*k**4 - 74*k**3 - 379*k - 603/2*k**2.
(k - 152)*(k + 1)**2*(k + 2)/2
Let i(t) be the second derivative of t**4/16 - 113*t**3 - 7*t - 40. Factor i(j).
3*j*(j - 904)/4
Find m such that m**3 - 33 + 585*m - 383*m + 33 + 203*m**2 = 0.
-202, -1, 0
Find x, given that -3/4*x**3 - 74*x**2 + 99 + 103/4*x = 0.
-99, -1, 4/3
Let g(j) be the first derivative of -j**5/2 + 4*j**4 - 37*j**3/6 + 5*j**2/2 + 6676. Factor g(m).
-m*(m - 5)*(m - 1)*(5*m - 2)/2
Factor 262*x**2 - 640*x**3 - 34848 + 4642*x - 13802*x - 7736*x + 639*x**3.
-(x - 132)**2*(x + 2)
Let p = 236 + -233. Factor 784*c**p - 206*c**3 + 21*c**2 + 8*c - 157*c**2.
2*c*(17*c - 2)**2
Suppose -21*g - 345 = 831. Let h be g/140 + (-4)/(-1). Factor 6/5*a**3 + 0 - 3/5*a**4 - h*a + 3*a**2.
-3*a*(a - 3)*(a - 1)*(a + 2)/5
Let m(a) be the second derivative of -1/6*a**4 + 0*a**2 + 1 - 11*a + 2/3*a**3. Determine l, given that m(l) = 0.
0, 2
Let b = 1297759/7 - 185394. Solve -b*k + 0 + 1/7*k**2 = 0 for k.
0, 1
Let g(b) = -b**4 + b**3 + b**2 - 3*b + 6. Let t(j) = -6*j**4 - 412*j**3 + 634*j**2 - 28*j - 148. Let q(r) = 10*g(r) - t(r). Find c such that q(c) = 0.
-1/2, 1, 104
Suppose 4*q - 3*q = 0. Suppose 4*i - 4*k = q, 2*k + 2 = -4*i + 14. Factor -9 + 2 + 4*c**i - 8*c + 7 + 4*c**3.
4*c*(c - 1)*(c + 2)
Let y = -1730 - -2485. Let l be (16308/y)/(3/8). Factor -l + 48/5*p - 2/5*p**2.
-2*(p - 12)**2/5
Let h be -3 - 14/(-7)*(-10)/(-4). Let -7*b**