t q(s) = -s**2 + 13*s - 35. Let o be q(5). Suppose -o*x - 103*v + 22 = -100*v, -2*v + 14 = 3*x. Let 4/13*y + 6/13 - 2/13*y**x = 0. What is y?
-1, 3
Let a(j) be the second derivative of -j**6/180 + j**5/30 + j**3/6 + 4*j**2 + 4*j + 2. Let w(l) be the second derivative of a(l). Let w(q) = 0. Calculate q.
0, 2
Let y be (13/(-4) - -4)/((-2580)/(-13072)). Find x such that -1/5*x**3 - 20 - 16*x + y*x**2 = 0.
-1, 10
Let u(y) be the first derivative of -3*y**5/5 - 48*y**4 + 65*y**3 - 2626. Suppose u(i) = 0. What is i?
-65, 0, 1
Let h(d) = 17*d + 155. Let t be h(-6). Factor -27*l**2 - 25*l**2 + t*l**2 - 29*l + 28.
(l - 28)*(l - 1)
Let l(z) = z**3 - 16*z**2 - 55*z - 34. Let y be l(19). Factor 79*o - y*o**5 + 100*o + 36*o**4 + 76*o**2 - 274*o - 84*o**3 + 71*o.
-4*o*(o - 6)*(o - 1)**3
Suppose -2*m + 4*c - 26 = 0, c + 12 = -3*m - 62. Let o = -19 - m. Determine g so that -2*g - o*g**2 + 3*g**3 + 5*g**2 + g**5 - 2*g**5 - 4*g**4 + 3*g**4 = 0.
-2, -1, 0, 1
Suppose -701*s + 2280 = -58*s - 292. Factor 1/9*t**s + 0 + t - 5/9*t**3 + 1/3*t**2.
t*(t - 3)**2*(t + 1)/9
Let q(i) be the first derivative of -2*i**5/5 - 17*i**4 + 94*i**3/3 + 5712*i**2 - 56448*i + 4529. Factor q(v).
-2*(v - 7)**2*(v + 24)**2
Let y(f) be the second derivative of -5/9*f**3 + 0 - 79*f + 19/12*f**2 + 1/72*f**4. Solve y(b) = 0 for b.
1, 19
Let m = 392279 + -392274. Factor 12 - 1/2*y**2 + m*y.
-(y - 12)*(y + 2)/2
Let n(u) be the third derivative of u**7/1680 + u**6/20 - u**5/160 - 73*u**4/96 - 2*u**3 + 383*u**2 - 11*u. Factor n(o).
(o - 2)*(o + 1)**2*(o + 48)/8
Find o such that -7/5*o**4 + 0 - 2*o + 1/5*o**5 + 9/5*o**3 + 7/5*o**2 = 0.
-1, 0, 1, 2, 5
Let z(n) be the third derivative of 2*n**7/105 - 187*n**6/30 + 62*n**5/5 + 212*n**2 - 15. Factor z(v).
4*v**2*(v - 186)*(v - 1)
Let o be (-4)/(-80)*8*(6 - 1). Factor -o*s**2 - s**2 - 132 - 44 + 7*s**2 + 0*s**2 + 80*s.
4*(s - 2)*(s + 22)
Suppose -19*y - 6 = -22*y. Solve -36*p**2 - p**2 - p**y - 2*p**3 + 2*p**4 + 20*p**2 + 18*p = 0.
-3, 0, 1, 3
Let v be (-876)/(-220) + (4*4/(-80))/(-1). Factor -26/11*m**3 - 2*m + 0 - v*m**2 - 2/11*m**4.
-2*m*(m + 1)**2*(m + 11)/11
Let i(q) = -5*q + 32. Let t(s) = -4*s + 10. Let w be t(5). Let f be i(w). Let -4 + 80*o**4 + 6*o**3 + 27*o + 7*o + 46*o**4 - f*o**2 = 0. What is o?
-1, 2/7, 1/3
Solve 38*o**2 + 55/3*o**3 + 2/3 - 200/3*o**4 + 29/3*o = 0 for o.
-2/5, -1/5, -1/8, 1
Let y be (-11699)/(-8) + -2*48/256. Let o = y - 2923/2. Factor 3/2*w**3 + 5/2*w**2 + o*w - 1/2.
(w + 1)**2*(3*w - 1)/2
Let h(p) be the first derivative of p**7/504 + p**6/72 + p**5/36 + 70*p**3/3 + 23. Let s(x) be the third derivative of h(x). Let s(v) = 0. What is v?
-2, -1, 0
Let w be (-9)/63 + 402/21. Let r = w + -17. Find g, given that -8*g**3 - 24*g**3 + 5*g**4 - 64 - g**4 - g + 60*g**r + 33*g = 0.
-1, 1, 4
Solve 32/25*r**3 + 0 + 6/25*r**2 + 26/25*r**4 + 0*r = 0.
-1, -3/13, 0
Let y(b) = 7*b**2 - 430*b - 1644. Let c(m) = -95*m**2 + 6020*m + 23015. Let w(d) = -4*c(d) - 55*y(d). Factor w(l).
-5*(l + 4)*(l + 82)
Let l(m) = -4*m + m**2 + 13*m + 7 - 27. Let h be l(2). Let -46/7*o - 2*o**h - 12/7 = 0. What is o?
-3, -2/7
Let h = 591/7 + -6431/28. Let q = 291/2 + h. Factor 0*y**2 + q*y**3 + 0 - y.
y*(y - 2)*(y + 2)/4
Let x(n) be the second derivative of 0*n**2 + 0 + 0*n**4 + 16/5*n**6 + 0*n**3 - 64/21*n**7 - 158*n - 9/10*n**5. Factor x(s).
-2*s**3*(8*s - 3)**2
Suppose 12*b + 14 = -2*b. Let v(l) = 3*l**2 + 36*l + 42. Let u(m) = 2*m - 2. Let r(s) = b*v(s) + 3*u(s). Solve r(x) = 0 for x.
-8, -2
Factor 2/21*h**2 + 0 - 82/21*h.
2*h*(h - 41)/21
Factor 2*f**2 - 916/7*f - 528/7.
2*(f - 66)*(7*f + 4)/7
Suppose 15208 = -8*n + 15248. Let w be 16/(-4) - (0 - 4). Determine g so that 0*g**3 - g**4 - 1/2*g**n + w + 1/2*g + g**2 = 0.
-1, 0, 1
Let y(r) be the third derivative of -r**5/48 + 5*r**4/4 + 725*r**3/24 - 547*r**2. What is h in y(h) = 0?
-5, 29
Suppose 156 = 2*o - u, 5*o + 2*u - 408 = -0*o. Solve 96*p - p**3 + 12*p**3 - 19*p**3 + o + 36*p**2 + 12*p**3 = 0.
-5, -2
Let i(t) be the first derivative of -t**6/3 - 98*t**5/5 - 93*t**4 - 548*t**3/3 - 181*t**2 - 90*t + 1504. Let i(a) = 0. Calculate a.
-45, -1
Let m(v) be the second derivative of -v**4/8 - 177*v**3/2 + 534*v**2 + 378*v. What is h in m(h) = 0?
-356, 2
Suppose 110*t = 108*t - 126. Let h be (18/t - (-4)/14) + 4. Factor 1/5*y**3 - 1/5*y**h + 0*y**2 + 0 + 0*y.
-y**3*(y - 1)/5
Factor -17/3 + 1/6*y**2 + 11/2*y.
(y - 1)*(y + 34)/6
Let o(c) be the third derivative of -c**7/10080 + 7*c**6/2880 - 7*c**4 + 178*c**2. Let p(b) be the second derivative of o(b). Factor p(s).
-s*(s - 7)/4
Factor 19 - 2*u**4 - 322*u + 17 + 256*u + 13*u**3 + 22*u**2 - 3*u**3.
-2*(u - 6)*(u - 1)**2*(u + 3)
Suppose 6*w - 650 = 214. Suppose w = m + 8*m. Determine q, given that 16*q**3 + 4*q**4 + 0*q**4 + 0*q - m*q + 12*q**2 - 6 - 10 = 0.
-2, -1, 1
Let u(i) be the first derivative of 11*i**5/20 + i**4/2 - 91*i**3/12 - 27*i**2/2 + 9*i + 245. Let u(h) = 0. Calculate h.
-2, 3/11, 3
Let z = 30 + -28. Let u be z/(-6) + 26/6. Factor 5*i - 5*i + 28*i**u - 3*i**5 + 18*i**3 - 13*i**4.
-3*i**3*(i - 6)*(i + 1)
Let d(i) be the first derivative of -i**4 + 112*i**3/3 + 390*i**2 + 1224*i + 2170. Let d(x) = 0. Calculate x.
-3, 34
Let a(f) = 10*f**3 - 25*f**2 - 2115*f - 2075. Let l(m) = -5*m**3 + 12*m**2 + 1057*m + 1038. Let j(t) = 2*a(t) + 5*l(t). Suppose j(z) = 0. What is z?
-13, -1, 16
Let i(b) = -8*b**3 - 171*b**2 + 9*b + 3. Let o(l) = -9*l**3 - 173*l**2 + 12*l + 4. Let z(a) = 4*i(a) - 3*o(a). Let z(g) = 0. Calculate g.
-33, 0
Let m(c) be the third derivative of c**9/30240 - c**7/840 + c**6/180 + 3*c**5/20 + c**3/3 - 64*c**2. Let h(g) be the third derivative of m(g). Factor h(b).
2*(b - 1)**2*(b + 2)
Let d be 7 + (-3 - -27)/(-8). Let q = 557/3 - 185. Factor 10/3*l**3 + q*l**d + 14/3*l**2 + 2*l + 0.
2*l*(l + 1)**2*(l + 3)/3
Factor 0 - 6/7*f - 2/7*f**2 - 2/21*f**4 + 10/21*f**3.
-2*f*(f - 3)**2*(f + 1)/21
Let a(z) = -z**4 + 3*z**3 + 2*z**2 - z. Let c(w) = -2*w**4 + 129*w**3 - 239*w**2 - 123*w + 244. Let i(l) = -3*a(l) + c(l). Solve i(t) = 0.
-122, -1, 1, 2
Let f(n) be the second derivative of n**7/14 - 2*n**6 + 87*n**5/4 - 225*n**4/2 + 270*n**3 - 324*n**2 - 1040*n. Suppose f(k) = 0. Calculate k.
1, 6
Let k(m) be the first derivative of m**6/5 - 23*m**5/60 - m**4/24 - 107*m**2 + 2*m + 161. Let d(c) be the second derivative of k(c). Factor d(x).
x*(x - 1)*(24*x + 1)
Let w(f) = 12*f - f**3 + 7 + 14*f + 6*f**2 - 32*f. Let g be w(5). Factor -31*h + 47*h + 4*h**2 + g*h**2 + 8.
2*(h + 2)*(3*h + 2)
Suppose -161*m + 3225 = 914*m. Factor -m - 11/2*p - 2*p**2 + 1/2*p**3.
(p - 6)*(p + 1)**2/2
Factor 0 + 2/3*u**2 + 2/3*u**3 - 4/3*u.
2*u*(u - 1)*(u + 2)/3
Let d be (-1 + 0)*1/(-3)*381. Factor -3*c**4 - d*c**3 - 10*c + 261*c**3 - 125*c**3 - 2*c.
-3*c*(c - 2)**2*(c + 1)
Let i be 55/5 - ((-1043)/(-28) + -27). Factor 27/4*s**2 + 0 - 15/2*s + i*s**3.
3*s*(s - 1)*(s + 10)/4
Factor -3218/7*s**3 - 307981312/7 - 44243584*s - 2/7*s**4 - 1726992/7*s**2.
-2*(s + 1)*(s + 536)**3/7
Let m(i) be the third derivative of -1/4*i**4 + 3/40*i**5 + 1/80*i**6 + 0*i - 109*i**2 + 0*i**3 + 0. Solve m(s) = 0 for s.
-4, 0, 1
Factor 89667/8 - 13851/4*g - 3/8*g**4 + 324*g**2 - 21/4*g**3.
-3*(g - 9)**3*(g + 41)/8
Let t(g) = -16*g - 96. Let m be t(13). Let h = 1532/5 + m. Find s, given that h*s - 24/5*s**2 + 9/5*s**3 - 3/5*s**5 + 6/5*s**4 + 0 = 0.
-2, 0, 1, 2
Suppose d + i = -d + 9, -i + 1 = 0. Let w be ((-16)/5)/(d/(-10)). Determine p, given that 5*p + 0*p - w - 5*p + 144*p**2 - 4*p = 0.
-2/9, 1/4
Solve 99/4*f**2 + 3/4*f**4 + 15 - 15/2*f**3 - 33*f = 0 for f.
1, 2, 5
Let u(g) be the second derivative of -1/48*g**4 + 2*g - 76 - 11/6*g**3 - 121/2*g**2. Factor u(l).
-(l + 22)**2/4
Let o = -453043/15 - -30203. Let g(f) be the second derivative of 0 + 1/120*f**4 + 42*f + 1/5*f**2 + o*f**3 - 3/200*f**5. Factor g(k).
-(k - 2)*(k + 1)*(3*k + 2)/10
Factor -2487160*a - 162465 + 3393347 + 2492244*a + 2*a**2.
2*(a + 1271)**2
Suppose 0 = 238*u - 2420 + 1944. Factor u*a - 10/3*a**2 + 4/3.
-2*(a - 1)*(5*a + 2)/3
Suppose 165 = -2*h + 169. Let s(v) be the first derivative of -2*v + 3*v**2 + 19 - h*v**3 + 1/2*v**4. Determine g so that s(g) = 0.
1
Let b = -21 - -52. Let -y**2 + 2*y**2 + 20*y - 9 - b*y - 17 = 0. What is y?
-2, 13
Let u(y) = -85*y + 106*y - 87 + 52*y**2 - 53*y**2. Let p be u(15). Factor 4/3 + 4*i**2 - 4/3