/2*h**2 + 1/6*h**3 - 1/3*h - 1/2*h**4 + 1/6*h**5 + w = 0.
-1, 0, 1, 2
Suppose -148*r - 19*r - 162 = -496. Solve -24/7 - 60/7*u**r - 68/7*u + 4/7*u**4 - 12/7*u**3 = 0 for u.
-1, 6
Suppose 40*c**5 - 575*c**2 - 1204*c**2 + 456*c**4 + 1323 - 819*c + 481*c**3 + 290*c**3 + 8*c**5 = 0. Calculate c.
-21/4, -1, 1
Let u(f) = 19*f**2 - 3*f + 5. Let v be u(3). Let j = v + -165. Factor -9/5 + 3/5*d**j + 6/5*d.
3*(d - 1)*(d + 3)/5
Let p(d) be the second derivative of -d**6/105 + 3*d**5/70 - d**4/21 + 19*d + 4. Factor p(i).
-2*i**2*(i - 2)*(i - 1)/7
Let c(d) = 4*d - 2. Let w be c(2). Let u be -2*7/(-28)*4. Let 2 + w*a - 1 + u + 3*a**2 = 0. Calculate a.
-1
Suppose -u = 3*d - 1, 7 = -3*d + 5*u + 2. Let i be 2/18 - (-21)/54 - d. Factor 1/4*y**5 + 0*y**3 - 1/4*y + i*y**2 + 0 - 1/2*y**4.
y*(y - 1)**3*(y + 1)/4
Let d(s) = s**3 + s**2 + 6*s + 4. Let w be d(0). Let b(j) be the second derivative of 0*j**2 - 4*j + 1/30*j**6 + 0*j**w + 0*j**3 - 1/20*j**5 + 0. Factor b(a).
a**3*(a - 1)
Let b(y) be the third derivative of -y**5/15 + y**4/3 - 2*y**3/3 - 116*y**2. What is q in b(q) = 0?
1
Let n = 5 + -3. Suppose n*k - 5*k = -9. Find o, given that -5*o**k + 17*o**3 - 8*o**3 - 3*o**3 - o**5 = 0.
-1, 0, 1
Let j(f) = 6*f**3 + 61*f**2 - 58*f - 17. Let u(n) = -n - 3. Let p(k) = 2*j(k) - 4*u(k). Factor p(v).
2*(v - 1)*(v + 11)*(6*v + 1)
Suppose -3*z - 17 - 13 = 0. Let n be 5/z + 3 + 0. Factor 1/2*x**2 + n*x + 3/2 - 1/2*x**3.
-(x - 3)*(x + 1)**2/2
Let c be (-196)/6*21/14. Let x = c - -52. Factor 0 - 3/4*a**x + 1/4*a**4 - 1/4*a**2 + 3/4*a.
a*(a - 3)*(a - 1)*(a + 1)/4
Let r(i) = -2*i - 12. Let b be r(-7). Let -6*w**4 + 11*w**5 + 0*w**5 - 2*w**3 + 3*w + b*w**4 + 4*w**2 - 12*w**5 = 0. What is w?
-3, -1, 0, 1
Let y(d) be the third derivative of 1/12*d**6 + 0 - 5/3*d**4 + 40/9*d**3 + d + 1/36*d**5 + 1/126*d**7 + 14*d**2. Factor y(f).
5*(f - 1)**2*(f + 4)**2/3
Let o(n) be the second derivative of -4*n**5/35 + n**4/21 + 8*n**3/21 - 2*n**2/7 + 2*n - 84. Factor o(q).
-4*(q - 1)*(q + 1)*(4*q - 1)/7
Let g(n) be the first derivative of -n**4/12 - 74*n**3/9 - 1369*n**2/6 - 553. Determine a so that g(a) = 0.
-37, 0
Let s(d) = -85*d**2 - 240*d - 180. Suppose n - 6*h = -h + 45, -120 = -4*n + 5*h. Let j(k) = -7*k**2 - 20*k - 15. Let g(r) = n*j(r) - 2*s(r). Factor g(v).
-5*(v + 1)*(v + 3)
Let s(t) = t**5 + t**3 + t**2 + t. Let k(n) = -3*n**5 - 27*n**3 + 30*n - 24. Let g(r) = -k(r) - 6*s(r). Find b, given that g(b) = 0.
-2, 1, 2
Let l be 2 + -187 - 2 - (5 + -7). Let j = l - -1667/9. Determine g so that 0*g**2 - 2/3*g + 4/9 + j*g**3 = 0.
-2, 1
Solve 3*w**3 + 2*w**4 - w**2 - w**4 + 0*w**3 - 22691*w + 22688*w = 0 for w.
-3, -1, 0, 1
Let o(a) be the first derivative of 0*a**2 + 1/18*a**3 + 3/20*a**5 + 1/6*a**4 + 12 + 10*a + 2/45*a**6. Let q(u) be the first derivative of o(u). Factor q(x).
x*(x + 1)**2*(4*x + 1)/3
Let h(y) = y. Let v(r) = -5*r - 1. Let z(t) = -4*h(t) - v(t). Let d(l) = 2*l**3 - 5*l**2 - 6*l - 5. Let o(w) = 4*d(w) + 28*z(w). Solve o(m) = 0.
-1/2, 1, 2
What is d in 1/4*d**3 + 7/2*d + 15/4*d**2 + 0 = 0?
-14, -1, 0
Let o(t) = t**3 + 3*t**2 - 11*t - 26. Let p be o(-4). Find z such that 9/7*z**5 - 18/7*z**3 + 9/7*z + 3/7*z**4 + 3/7 - 6/7*z**p = 0.
-1, -1/3, 1
Let x = -1152 - -1155. Let k(a) be the second derivative of -1/50*a**6 + 0*a**2 + 0 + 1/5*a**x + a - 3/50*a**5 + 1/20*a**4. Factor k(q).
-3*q*(q - 1)*(q + 1)*(q + 2)/5
Let o(b) = b**2 + 3*b - 2. Suppose 3*s + 1 + 14 = 0. Let p be o(s). Factor -19*m**3 + 8*m**2 + 2*m**5 + p*m + 13*m**3 - 2*m**4 - 2*m**4.
2*m*(m - 2)**2*(m + 1)**2
Factor 0 - 2/7*a**2 + 198/7*a.
-2*a*(a - 99)/7
Factor 4/3*t - 1/6*t**2 + 8.
-(t - 12)*(t + 4)/6
Factor 24*h + 16*h**3 - 28*h**2 - 8 + 1/2*h**5 - 9/2*h**4.
(h - 2)**4*(h - 1)/2
Let x(s) be the second derivative of -s**7/84 - s**6/30 + 3*s**5/20 + s**4/6 - 13*s**3/12 + 3*s**2/2 - 154*s. Factor x(j).
-(j - 1)**3*(j + 2)*(j + 3)/2
What is i in 0 + 1/3*i**5 + 24*i**3 + 0*i**2 + 0*i - 6*i**4 = 0?
0, 6, 12
Let u = -77 + 79. Factor -29*g + 80*g**u - 7*g - 4 - 161*g**2.
-(9*g + 2)**2
Let v(c) = 2*c**2 - 15*c + 13. Let p be v(6). Let u = p + 9. Factor 2 + 4*i**4 + 6*i**4 - 4*i**3 - 10*i**u + 4*i - 2*i**4.
-2*(i - 1)*(i + 1)**3
Let g = 11506 + -57864/5. Let m = -326/5 - g. Determine u so that -m*u**2 - 8/5*u**3 - 2/5*u**4 + 0 + 0*u = 0.
-2, 0
Let z(k) = -157*k - 781. Let q be z(-5). Factor 2/3*f**q + 0 + 2/3*f**3 - 2/3*f**2 - 2/3*f.
2*f*(f - 1)*(f + 1)**2/3
Let d(v) be the second derivative of v**4 + 0*v**2 - 1/14*v**7 + 0*v**3 + 0 + 12*v - 6/5*v**5 + 1/2*v**6. Factor d(a).
-3*a**2*(a - 2)**2*(a - 1)
Let x(z) be the first derivative of -z**4/32 + z**3/8 - 3*z**2/16 + z/8 - 260. Factor x(m).
-(m - 1)**3/8
Suppose -2*l + 288 = 4*r - 3*l, 0 = -5*r - 4*l + 360. Let -6*u**3 - 400 - 1600*u + 91 - 122*u**2 - r*u**2 - 203 = 0. What is u?
-16, -1/3
Let r be (60/11)/4 + 0 + -1. Let t(a) be the first derivative of -2/33*a**3 + 3/11*a**2 - r*a + 1. Factor t(x).
-2*(x - 2)*(x - 1)/11
Let g be 2/74 + (-763)/28231. Factor -27/7*p + 3/7*p**2 + g.
3*p*(p - 9)/7
Let s(f) be the first derivative of -f**5 - 15*f**4/2 - 20*f**3/3 + 60*f**2 + 160*f - 619. Factor s(w).
-5*(w - 2)*(w + 2)**2*(w + 4)
Let q(p) = 808*p + 6466. Let t be q(-8). Factor -8/3*y + 4/3*y**t - 32/3.
4*(y - 4)*(y + 2)/3
Let r(q) be the first derivative of -3*q**5/40 - 3*q**4/2 - 29*q**3/8 - 21*q**2/8 - 256. Factor r(j).
-3*j*(j + 1)**2*(j + 14)/8
Let d be 38/40 + (-2 - (-9)/5). Factor -3/4*a**3 + d*a + 1/2 - 1/4*a**4 - 1/4*a**2.
-(a - 1)*(a + 1)**2*(a + 2)/4
Factor -1/3*b**2 - 7 - 10/3*b.
-(b + 3)*(b + 7)/3
Let k(y) be the second derivative of -5*y**7/2 - 73*y**6/10 + 141*y**5/10 + 71*y**4 + 92*y**3 + 48*y**2 - 142*y + 1. Suppose k(t) = 0. Calculate t.
-2, -1, -4/5, -2/7, 2
Let m be (-45)/72 + (-6)/(-8) + (-46)/(-16). Solve 0 - 3/8*p**5 - 3/8*p + 3/4*p**m + 0*p**2 + 0*p**4 = 0.
-1, 0, 1
Let b(s) be the second derivative of s**5/40 - 2*s**4 - s**3/12 + 12*s**2 - 361*s. Find j such that b(j) = 0.
-1, 1, 48
Suppose 4*w - 65 = -185. Let y be (-16)/20*w/21. Find i such that 8/7*i**2 - 2/7*i**3 - y*i + 0 = 0.
0, 2
Let v be 11*(0 + (-4)/(-8)*-4). Let d be 34/v*1 - -3. Suppose -6/11*i**2 - d*i + 2/11*i**4 + 4/11*i**3 - 8/11 = 0. What is i?
-2, -1, 2
Let l(y) be the first derivative of -3*y**4/20 - 2*y**3/5 + 3*y**2/10 + 6*y/5 + 298. Find b, given that l(b) = 0.
-2, -1, 1
Suppose 402*n - b = 399*n - 6, n - 6 = -b. Suppose 6/13*t**2 + 8/13*t**3 + 2/13*t**4 + 0 + n*t = 0. Calculate t.
-3, -1, 0
Let f(w) be the second derivative of w**4/14 + 117*w**3/14 + 87*w**2/7 + 133*w. Find d, given that f(d) = 0.
-58, -1/2
Solve 752 + 0*b - 3*b**2 - 734 + 3*b + 12*b = 0.
-1, 6
Suppose 3*g = 4*i - 0*g - 147, 5*g + 124 = 3*i. Factor -2*u**4 - 18*u - i*u**2 + 248*u**3 - 266*u**3 - u**4.
-3*u*(u + 1)*(u + 2)*(u + 3)
Let i(t) be the first derivative of -t**7/1960 - t**6/280 + 9*t**5/280 - 5*t**4/56 - 2*t**3 - 16. Let z(q) be the third derivative of i(q). Factor z(c).
-3*(c - 1)**2*(c + 5)/7
Solve -4/5*l + 2/5*l**2 - 16/5 = 0.
-2, 4
Suppose 11*t = 8*t + 75. Suppose -5 = 5*h - t. Suppose 24*v - 15 - 1 + 0*v**h + 2*v**4 - 4*v**2 - 6*v**3 = 0. What is v?
-2, 1, 2
Let a(y) = -20*y**3 + 41*y**2 + 7*y - 13. Let w be a(2). Factor 0*t - 10/9*t**3 + 0 + 2/9*t**w - 2/3*t**2 - 2/9*t**4.
2*t**2*(t - 3)*(t + 1)**2/9
Let b(c) be the third derivative of 361*c**8/112 + 57*c**7/14 - 433*c**6/40 - 281*c**5/20 + 9*c**4 - 2*c**3 - 91*c**2. Solve b(k) = 0 for k.
-1, 2/19, 1
Let g(m) be the first derivative of 4/9*m + 2/45*m**5 - 2/9*m**3 + 1/9*m**2 - 1/18*m**4 + 8. Suppose g(y) = 0. What is y?
-1, 1, 2
Let n(z) be the second derivative of z**6/180 + z**5/40 + 84*z. Let n(d) = 0. Calculate d.
-3, 0
Let i(a) be the second derivative of 21/20*a**5 + 58*a - 13/4*a**4 + 0 + 27*a**2 - 1/10*a**6 - 3/2*a**3. Factor i(t).
-3*(t - 3)**2*(t - 2)*(t + 1)
Let h(j) be the second derivative of -j**5/20 + j**4/3 + 7*j**3/6 - 5*j**2 - 376*j. Determine q, given that h(q) = 0.
-2, 1, 5
Let d be (-19)/((-31977)/(-1078)) + 1/9. Let k = -10/51 - d. Find s such that 2/3 + k*s - 1/3*s**2 = 0.
-1, 2
Let m(g) be the third derivative of 28561/3*g**3 + 37*g**2 + 169/5*g**5 + 1/105*g**7 + 13/15*g**6 + 2197/3*g**4 + 0 + 0*g. Determine u, given that m(u) = 0.
-13
Let r(t) = -7*t**3 + 50*t**2 - 180*t + 162. Let d(s) = -15*s**3 + 95*s**2 - 360*s + 325. L