2/9*h**2 - 380/9 + 86/9*h.
-2*(h - 38)*(h - 5)/9
Solve 2069455*p**3 + 766*p - 2069457*p**3 + 384 + 172*p**2 + 208*p**2 = 0.
-1, 192
Suppose 0 + 8/11*t**3 - 80/11*t + 318/11*t**2 = 0. What is t?
-40, 0, 1/4
Let p = 31 + -28. Let 3*i**2 + 2*i + 7*i + p*i - 18 - 9*i = 0. Calculate i.
-3, 2
Suppose 0 = -h + 5*s + 16, 2*h - 2*s - 22 = 18. Let o be h/147*(-21)/(-6). Find z such that o*z + 0 - 1/2*z**2 = 0.
0, 1
Let p(b) be the third derivative of -3*b**6/20 + 21*b**5/230 + b**4/138 - 124*b**2 - b - 3. Suppose p(k) = 0. Calculate k.
-2/69, 0, 1/3
Let u be (-2192)/(-550) + (-8 - 228/(-30)). Let h = 4/275 + u. Find k, given that -32/5*k**2 + 2/5*k**5 + 28/5*k**3 - 4/5 - 12/5*k**4 + h*k = 0.
1, 2
Suppose 0 = -s + 5*h + 7, 3*s - 3*h = 9. Let 11*c + 85*c + 2*c**3 + 27 - 24*c**s - 155 = 0. What is c?
4
Let h(p) be the first derivative of -2*p**3/45 + 517*p**2/15 + 976. Factor h(d).
-2*d*(d - 517)/15
Suppose -2*n = -93*l + 96*l + 20, 45 = 3*l - 3*n. Factor -2/3*m**l - 4*m + 0.
-2*m*(m + 6)/3
Suppose 32 = 9*z - 4. Suppose -7*r = -6*r + 5*w - 285, 5*r - 1512 = z*w. Let 574*i**2 + r*i + 34 - 74*i**2 + 11 = 0. Calculate i.
-3/10
Let d(l) be the second derivative of -l**5/110 + 361*l**4/33 + 241*l**3/11 - 7688*l. Factor d(u).
-2*u*(u - 723)*(u + 1)/11
Solve -5*s**4 + 810*s + 109*s**3 + 755*s**2 - 17*s**3 + 499*s**2 - 339*s**2 + 8*s**3 = 0 for s.
-6, -1, 0, 27
Let t(w) be the second derivative of w**7/70 - w**6/10 + w**5/5 + 29*w**2/2 - w - 59. Let p(f) be the first derivative of t(f). Solve p(j) = 0.
0, 2
Let x(t) = 8*t**2 + 19*t - 20. Let a(s) = s**2. Suppose 12*b + 35 = 5*b. Let f(n) = b*x(n) + 35*a(n). Factor f(q).
-5*(q - 1)*(q + 20)
Let a be (-300 + -2)*(435/30)/(-29). Let i = -753/5 + a. Determine f so that -i*f + 0 + 1/5*f**4 + f**2 - 4/5*f**3 = 0.
0, 1, 2
Let y(j) be the first derivative of j**4/2 - 44*j**3/3 + 161*j**2 - 784*j - 1392. Find f, given that y(f) = 0.
7, 8
Suppose 9 - 41 = 15*s - 62. Factor 0 - 3/4*w**4 + 0*w**s + 3/8*w**5 + 0*w - 9/8*w**3.
3*w**3*(w - 3)*(w + 1)/8
Suppose 25*z - 18*z + 1036 = 0. Let j = z - -153. Factor 4*y - 1 + 1/4*y**j + 19/4*y**3 - 25/4*y**2 - 7/4*y**4.
(y - 2)**2*(y - 1)**3/4
Let w(r) be the second derivative of r**9/7560 - r**7/315 - 17*r**4/4 + r**3/3 - 74*r. Let z(a) be the third derivative of w(a). Factor z(n).
2*n**2*(n - 2)*(n + 2)
Let n(o) = o**2 - 4. Let s(k) = -121*k**3 + 205*k**2 - 104*k + 32. Let a(x) = 4*n(x) + s(x). Factor a(q).
-(q - 1)*(11*q - 4)**2
Let u = -4556 - -4558. Let r(t) be the second derivative of 0 - 7/20*t**5 + 4/3*t**4 - 6*t - 11/6*t**3 + t**u. Factor r(n).
-(n - 1)**2*(7*n - 2)
Let s = 295401 - 295398. What is i in -16/5 - 4*i + 2/5*i**s - 2/5*i**2 = 0?
-2, -1, 4
Let b(j) be the second derivative of 0 - 16/19*j**2 + 106*j - 19/10*j**5 - 9/2*j**4 - 56/19*j**3. Suppose b(l) = 0. What is l?
-1, -4/19
Suppose 106*i - 164 = -22 + 22 + 154. What is u in -112/5*u**2 + 0 - 33/5*u**i - 12*u = 0?
-30/11, -2/3, 0
Suppose 0 = -4*t - 4*m - 2384, 4*m - 616 = 84*t - 83*t. Let q = t - -604. Suppose 4/5*o**q + 4/5 - 8/5*o**2 + 4/5*o**5 + 4/5*o - 8/5*o**3 = 0. Calculate o.
-1, 1
Let w(o) be the first derivative of -o**6/96 - o**5/48 + 5*o**4/8 + 48*o**2 + 2*o - 109. Let u(i) be the second derivative of w(i). Solve u(j) = 0.
-4, 0, 3
Suppose -61 = -3*x - 5*f, -14*f = -2*x - 10*f - 40. Suppose 2/9*c**2 - x + 16/9*c = 0. What is c?
-9, 1
Let k(g) = -102*g**2 + 1248*g - 1156. Let h(x) = x**3 + 512*x**2 - 6240*x + 5782. Let a(v) = -4*h(v) - 22*k(v). Find w such that a(w) = 0.
1, 24
Suppose 3*o - 321 = -4*i - 2*o, -5*o - 390 = -5*i. Let q = i + -70. Suppose -3*l**2 - 7 + 2*l**2 + q - 1 = 0. What is l?
-1, 1
Let o(x) be the first derivative of 29*x**5/5 - 27*x**4/4 - 2*x**3/3 - 552. Factor o(r).
r**2*(r - 1)*(29*r + 2)
Let y(s) be the first derivative of -1/9*s**2 + 2/27*s**3 - 4/9*s - 79. Determine a, given that y(a) = 0.
-1, 2
Let r(h) = 206*h**3 - 477*h**2 - 1295*h - 842. Let n(d) = -71*d**3 + 159*d**2 + 431*d + 281. Let g(z) = -23*n(z) - 8*r(z). Factor g(f).
-3*(f - 13)*(f + 1)*(5*f + 7)
Let k be ((0/(-11))/((-10 - -4)/(-2)))/(-2). Let r(i) be the first derivative of 3/4*i**4 + k*i - 2*i**3 + 0*i**2 + 3/5*i**5 - 13. Suppose r(w) = 0. What is w?
-2, 0, 1
Find i such that 8/9*i**4 + 208/9*i**2 + 12*i**3 + 112/9*i + 0 - 4/9*i**5 = 0.
-2, -1, 0, 7
Let q = -24464 - -24467. Let g(d) be the second derivative of -1/10*d**6 - 9*d**q - 3*d + 0 + 0*d**2 + 3/5*d**5 + 3/4*d**4. Suppose g(y) = 0. What is y?
-2, 0, 3
Let i(p) = p**3 + 2*p**2 - 4. Let o(s) = 28*s**4 + 98*s**3 + 24*s**2 - 112*s - 56. Let c(l) = -18*i(l) + o(l). Suppose c(h) = 0. What is h?
-2, 1/7, 1
Let i be 0/(-10)*(8/12 - 1). Let c(x) be the first derivative of 1/9*x**4 - 2/27*x**6 + i*x**2 + 0*x - 2 + 4/27*x**3 - 4/45*x**5. Find g such that c(g) = 0.
-1, 0, 1
Let f(x) be the second derivative of x**5/40 + 5*x**4/6 + 17*x**3/12 - 19*x**2/2 - x - 13. Determine u so that f(u) = 0.
-19, -2, 1
Let i = -28002 + 28009. Let z(v) be the second derivative of 5/12*v**4 - 5/42*v**i - 1/6*v**6 - 20/3*v**3 + 2*v + 0 + 10*v**2 + 5/4*v**5. Solve z(p) = 0.
-2, 1
Let p be 44 + (-3 - (-3 - 1)). Factor -32 - 368*x + p*x**3 + 12*x**3 + 8*x**2 - 8*x**3 + 43*x**3.
4*(x - 2)*(x + 2)*(23*x + 2)
Suppose -v - 2*i = -6, -4*v + 4*i = -55 - 5. Determine a, given that 6*a**4 + 4*a + 44*a**3 + 8 - v*a**3 + 58*a**2 + 36*a = 0.
-2, -1, -1/3
Let l be (-24 - -24)*1*(-1 + 0). Find o, given that 349*o**3 + l*o**2 + 350*o**3 + 12*o - 2*o**2 - 707*o**3 - 2*o**4 = 0.
-3, -2, 0, 1
Let p(q) be the third derivative of q**6/420 - 307*q**5/70 + 94249*q**4/28 - 28934443*q**3/21 - 2465*q**2. Factor p(h).
2*(h - 307)**3/7
Let v(o) be the third derivative of 1/8*o**3 + 1/160*o**6 + 0*o + 0 - 1/32*o**4 + 46*o**2 - 1/80*o**5. Factor v(n).
3*(n - 1)**2*(n + 1)/4
Let w(q) be the first derivative of -512*q**6/3 - 3712*q**5 + 4287*q**4 + 2360*q**3/3 + 38*q**2 + 1301. Suppose w(y) = 0. Calculate y.
-19, -1/16, 0, 1
Let -26*h**3 - 3720 - 1002*h**2 + 5041*h + 529*h - 494*h**2 - 349*h**2 + 21*h**3 = 0. Calculate h.
-372, 1, 2
Suppose 20*s - 356 + 145 = -171. What is t in -3*t**s + 6*t + 12 - 3/2*t**3 = 0?
-2, 2
Let w(j) be the first derivative of -j**3/6 - 3*j**2/2 - 5*j/2 + 324. Factor w(k).
-(k + 1)*(k + 5)/2
Suppose -77*m + 24*m = -53. Suppose -3*x + 28 = 4*n - m, -5*x - 10 = -5*n. Factor 1/2*z**x + 0*z**2 + 0 - 1/2*z.
z*(z - 1)*(z + 1)/2
Let f(y) be the second derivative of -y**4/30 + 554*y**3/5 - 690561*y**2/5 - 2697*y. Solve f(c) = 0 for c.
831
Let d(f) be the first derivative of -12/17*f - 2/17*f**3 - 66 + 2/85*f**5 + 11/17*f**2 - 3/34*f**4. Determine t, given that d(t) = 0.
-2, 1, 3
What is o in 45/2 - 211/4*o - 11/2*o**2 = 0?
-10, 9/22
Suppose -5*k = 2*z + 6, 3*z - 2*k - 16 = 32. Let w(n) be the second derivative of -z*n + 0*n**3 + 0 + 1/5*n**2 - 1/30*n**4. Factor w(j).
-2*(j - 1)*(j + 1)/5
Let c = -11228/3 + 3743. Let d(g) be the second derivative of c*g**3 + 1/30*g**4 - 6/5*g**2 + 5*g + 0. Let d(w) = 0. What is w?
-6, 1
Let f(r) be the third derivative of r**6/780 + 11*r**5/130 - 23*r**4/52 + 35*r**3/39 + 1171*r**2. Factor f(d).
2*(d - 1)**2*(d + 35)/13
Let k = -21/1405 - -4257/2810. Let o(s) be the second derivative of -k*s**2 - s**3 - 1/4*s**4 + 0 - 16*s. What is f in o(f) = 0?
-1
Suppose 17 = -z - 20. Let u = z + 39. Factor -7*l - l**2 + 2*l**u + 5*l.
l*(l - 2)
Factor -2/3*c**3 - 172/3 + 88/3*c**2 - 82/3*c.
-2*(c - 43)*(c - 2)*(c + 1)/3
Let j(n) = -10*n**2 + 8*n + 24. Let q(h) = 2*h + 61. Let c be q(-30). Let g(w) = -2*w**2. Let i(f) = c*j(f) - 4*g(f). What is v in i(v) = 0?
-2, 6
Let i = -1410/259 + 1558/259. Let -26/7*w - i - 6*w**2 = 0. What is w?
-1/3, -2/7
Suppose 146*q - 120*q - 1920 = -614*q. Solve -4 + 3/2*v**q - v**2 - 6*v + 1/2*v**4 = 0.
-2, -1, 2
Let l be (15/(-90)*-8)/((-4)/54). Let z be (-52)/l - 35/(-315). Factor 9/7*w**2 + 0 - 6/7*w - 3/7*w**z.
-3*w*(w - 2)*(w - 1)/7
Suppose 20 + 0*l**2 + 65/3*l - 5/3*l**3 = 0. What is l?
-3, -1, 4
Let o(n) be the second derivative of n**5/210 - 197*n**4/126 + 1691*n. Let o(x) = 0. Calculate x.
0, 197
Factor 930/17*w - 608/17*w**2 - 450/17 + 128/17*w**3.
2*(w - 1)*(8*w - 15)**2/17
Let k be -3*(22/(-1815)*365 - (-2)/22). Let h(q) be the first derivative of -1/3*q**3 + k + 1/2*q**2 + 2*q. Let h(u) = 0. Calculate u.
-1, 2
Let y(j) be the first derivat