3 + 16*o**2.
4*(o + 1)**2*(5*o + 2)/3
Suppose 5*h - 70 = -60. Suppose 32*w**5 + 344*w**3 - 272*w**4 + 590*w**2 + 43 + 560*w + 57 + 374*w**h = 0. Calculate w.
-1/2, 5
Let k(l) be the first derivative of 2*l**6/3 + 104*l**5/5 + 49*l**4 + 32*l**3 - 364. Factor k(t).
4*t**2*(t + 1)**2*(t + 24)
Let l be 15 + 22 + -2 + -33. Find h, given that -2/11*h**l + 0 + 14/11*h = 0.
0, 7
Factor 133425 + 295820 - h**2 + 2930*h + 4*h**2 + 2*h**2.
5*(h + 293)**2
Let q be (5 - 204/60) + (-472)/(-5). Let m be 6/2*35/3. Find v, given that -m*v**2 - 2*v + q*v**2 - 45*v**2 = 0.
0, 1/8
Let h(s) = s**4 - s**2 - s - 1. Let v(d) = -d**4 + 9*d**2 + 2*d**5 - 5*d + 13*d**2 - 5 - 19*d**2. Let w(o) = 5*h(o) - v(o). Factor w(p).
-2*p**2*(p - 2)**2*(p + 1)
Suppose -2*r + 12 = -3*b, -4*r + 0*r = -2*b - 40. Solve 72*v + 15*v**3 - v**5 - 32*v**3 - 28*v**4 - 3*v**5 + r*v**2 - 35*v**3 = 0 for v.
-3, -2, 0, 1
Let h(r) be the second derivative of 1/15*r**5 + 1 + 1/135*r**6 + 0*r**2 - 4/9*r**3 + 5/54*r**4 - 48*r. Let h(o) = 0. What is o?
-4, -3, 0, 1
Suppose 33*b + 5*b = -1216. Let p be ((24/b)/1)/((-2)/8). Factor 10/3*y**4 - 2/3*y**5 - 20/3*y**p + 20/3*y**2 - 10/3*y + 2/3.
-2*(y - 1)**5/3
Let s(p) be the third derivative of 3*p**6/340 - p**5/255 + 11*p**3 - 51*p**2. Let r(l) be the first derivative of s(l). Let r(h) = 0. What is h?
0, 4/27
Let 20*p**2 - 24/5*p**4 - 16/5 - 24/5*p + 14/5*p**5 - 10*p**3 = 0. What is p?
-2, -2/7, 1, 2
Let d(a) = a. Let p(g) = -5*g**3 + 10*g**2 + g - 10. Let j(n) = -n. Let x(h) = 6*j(h) + p(h). Let r = -26 - -16. Let f(b) = r*d(b) - x(b). Solve f(i) = 0 for i.
-1, 1, 2
Let d(y) be the first derivative of 60*y + 2/5*y**5 + 130/3*y**3 - 77*y**2 - 229 - 19/2*y**4. Let d(j) = 0. Calculate j.
1, 2, 15
Let u(n) be the second derivative of n**8/840 - n**6/90 + n**4/12 + 2*n**3 - n**2/2 - 2*n - 3. Let b(r) be the second derivative of u(r). Solve b(t) = 0.
-1, 1
What is y in -867*y**3 - 285*y**2 - 3*y**5 - 102*y**4 - 1251*y**2 - 93*y**3 = 0?
-16, -2, 0
Suppose 10*t - 357 = -17. Suppose 9*s = 26*s - t. Suppose -1/2*w**4 + 1/2*w**3 - s*w + 2*w**2 + 0 = 0. Calculate w.
-2, 0, 1, 2
Factor -11/7 + 50/7*q**3 - 15/7*q**4 - 10*q**2 + 45/7*q + 1/7*q**5.
(q - 11)*(q - 1)**4/7
Let k be 2802/10 + (5 - 4)/(-5). Let g be (-3)/(204/77) + k/224. Factor -g*v + 0 - 2/17*v**2.
-2*v*(v + 1)/17
Let x(b) = b**3 - 17*b**2 + 20*b - 20. Let r be x(16). Let a = -112 - -124. Suppose 4*g**5 - a*g**4 - r*g - 12*g**4 + 52*g**3 + 24 - 12*g**3 = 0. Calculate g.
-1, 1, 2, 3
Let d(g) be the second derivative of -g**5/60 - 29*g**4/36 + 35*g**3/3 - 14*g + 187. Let d(m) = 0. Calculate m.
-35, 0, 6
Factor 181765*h**2 + h - 181833*h**2 - h - 2*h**3.
-2*h**2*(h + 34)
Factor 2/7*v**2 + 1801202/7 + 3796/7*v.
2*(v + 949)**2/7
Let o(p) be the second derivative of p**4/66 - 274*p**3/33 - 552*p**2/11 - 15*p + 10. Factor o(q).
2*(q - 276)*(q + 2)/11
Let g(a) = 10*a**2 + 460*a + 3. Let y(n) = 27*n**2 + 1379*n + 8. Let v(x) = 8*g(x) - 3*y(x). Let v(b) = 0. What is b?
-457, 0
Let b(y) = -24*y**4 - 24*y**3 + 536*y**2 + 576*y - 5. Let d(i) = 28*i**4 + 20*i**3 - 536*i**2 - 576*i + 6. Let q(s) = -6*b(s) - 5*d(s). Solve q(w) = 0 for w.
-18, -1, 0, 8
Let m(l) be the first derivative of -1/90*l**6 + 0*l**2 + 8/15*l**5 - 32/3*l**4 + 7*l**3 + 22 + 0*l. Let c(o) be the third derivative of m(o). Factor c(w).
-4*(w - 8)**2
Let b(c) be the second derivative of c**5/70 - 15*c**4/14 + 101*c**3/7 - 37*c**2 + 4*c + 3. Suppose b(o) = 0. Calculate o.
1, 7, 37
Let i be (1107/(-4))/((-9)/(-45)). Let y = -1371 - i. Factor -375/2 + 825/4*a + y*a**3 - 315/4*a**2 - 3/4*a**4.
-3*(a - 5)**3*(a - 2)/4
Let 2/7*p**3 - 4/7*p**2 - 114/7*p - 108/7 = 0. What is p?
-6, -1, 9
Let -9/2*s**4 - 1 + 17/8*s**5 + 15/2*s - 47/8*s**3 + 37/4*s**2 = 0. Calculate s.
-1, 2/17, 2
Let x(c) be the third derivative of c**6/280 + 9*c**5/70 + 81*c**4/56 - 892*c**2. Solve x(f) = 0 for f.
-9, 0
Find v such that -91*v**3 - 120 + 292*v + 10*v**4 - 6*v**4 + 135*v**3 - 220*v**2 = 0.
-15, 1, 2
Let l(g) = 21*g**3 - 15*g**2 - 507*g - 489. Let q(a) = 5*a**3 - 4*a**2 - 127*a - 122. Let v(n) = 2*l(n) - 9*q(n). Suppose v(d) = 0. Calculate d.
-5, -1, 8
Let n be (45/105 + 26/14)/(20/14). Factor 8/5 + 2/5*f**2 + n*f.
2*(f + 2)**2/5
Let l(r) = 2*r**2 - 218*r + 544. Let i(n) = 2*n**2 - 3. Let v(o) = -4*i(o) - l(o). Find b, given that v(b) = 0.
14/5, 19
Let p(q) = -2*q**3 + 11*q**2 + 152*q - 913. Let i be p(7). Let 8 + i*a + 1/2*a**2 = 0. What is a?
-4
Determine o, given that 124/3*o + 42 - 2/3*o**2 = 0.
-1, 63
Suppose -3*q - 3*b + 279 = b, 2*q + b - 181 = 0. Let c = -85 + q. Factor 2*u - u**2 - 5*u - 5*u**2 - u**3 - c - 6*u.
-(u + 1)**2*(u + 4)
Let p(q) be the second derivative of 1/18*q**4 + 1/210*q**5 + 222*q + 0 + 11/63*q**3 + 5/21*q**2. Solve p(s) = 0 for s.
-5, -1
Suppose -153125 = -15*c - 153095. Factor -1/6*r**4 + 2/3*r**c - 2/3*r + 0 + 1/6*r**3.
-r*(r - 2)*(r - 1)*(r + 2)/6
Let z(v) = v**3 + v**2 + v + 1. Let r(a) = 45*a**3 + 7 - a + 4*a**2 - 41*a**3 - 2*a**2. Let l(y) = r(y) - 3*z(y). Factor l(x).
(x - 2)*(x - 1)*(x + 2)
Let g(x) = x**3 + 36*x**2 + 68*x + 3. Let u be g(-34). Let 20 + 3*w**3 + 12*w**2 - 17*w - 19*w - 2*w**3 + u*w**3 = 0. Calculate w.
-5, 1
Let w(v) be the first derivative of 54/7*v**3 - 288/7*v - 162 - 330/7*v**2 + 15/14*v**4. Factor w(j).
6*(j - 3)*(j + 8)*(5*j + 2)/7
Let b be ((-33)/12 - -3)*7744/1452. Find r, given that 0*r - 2/9*r**3 + b*r**2 - 64/9 = 0.
-2, 4
Suppose -k + 23 = 2*q, -4*q + 4*k = -26 - 26. Let d(y) be the first derivative of q*y - 3/2*y**2 - 4*y**3 + 9 + 3/4*y**4. Factor d(h).
3*(h - 4)*(h - 1)*(h + 1)
What is a in 27/4*a + 3/4*a**3 + 33/2 - 9*a**2 = 0?
-1, 2, 11
Let i(t) = 45*t + 1. Let a be i(1). Suppose a + 34 = 4*h. Solve h + 6*u**3 - 9*u - u**2 + 3*u**5 - 23 - 5*u**2 + 9*u**4 = 0 for u.
-1, 1
Let a(j) be the third derivative of -j**8/30240 + 7*j**5/5 + 143*j**2. Let d(s) be the third derivative of a(s). Solve d(y) = 0.
0
Let h = 4940 - 4936. Let m(b) be the first derivative of 5/3*b - 18 - 1/3*b**5 + 0*b**3 + 5/3*b**2 - 5/6*b**h. Find s such that m(s) = 0.
-1, 1
Let y be 14 + (2/(-1) - -4) - 4. Factor 26*z**3 - 5*z**5 + 7*z**4 - y*z**4 - 26*z**3.
-5*z**4*(z + 1)
Let f(p) be the third derivative of p**8/336 + p**7/90 - 103*p**6/120 - 1427*p**5/180 - 13*p**4/4 + 440*p**3/9 - 4*p**2 - 2*p + 1571. Solve f(b) = 0.
-8, -5, -1, 2/3, 11
Factor 1/8*u**2 + 441/8 + 21/4*u.
(u + 21)**2/8
Suppose -1054729/5 - 2054/5*i - 1/5*i**2 = 0. Calculate i.
-1027
Let l(g) be the third derivative of -g**8/168 + 82*g**7/35 - 1281*g**6/5 + 14884*g**5/15 - 2038*g**2. Suppose l(w) = 0. Calculate w.
0, 2, 122
Let n(q) be the second derivative of -5*q**4/12 + 20*q**3/3 + 50*q**2 + 527*q. Factor n(p).
-5*(p - 10)*(p + 2)
Suppose -a = -7 + 4. Suppose 0 = -3*x + 3 + a. Solve 6*r**2 + 3 + 5 - 2*r**3 - 17*r + r + 4*r**x = 0.
1, 2
Let z(p) be the second derivative of -p**7/24 + 149*p**6/120 - 49*p**5/4 + 106*p**4/3 + 88*p**3 - 90*p**2 + 117*p - 18. What is j in z(j) = 0?
-1, 2/7, 6, 10
Let h(z) be the first derivative of z**3/2 + 492*z**2 + 161376*z - 540. Factor h(f).
3*(f + 328)**2/2
Let f(g) be the second derivative of g**5/25 - 87*g**4/5 - 1058*g**3/15 + 1578*g**2/5 + 5452*g. Suppose f(l) = 0. Calculate l.
-3, 1, 263
Factor 20*b + 73 - 2*b**2 + 586 - 32*b - 99.
-2*(b - 14)*(b + 20)
Let k(h) be the first derivative of 1/2*h**4 + 154 - 5*h**2 - 6*h - 2/3*h**3. Factor k(g).
2*(g - 3)*(g + 1)**2
Let c(u) be the first derivative of -u**4/4 + 17*u**3 + 80*u**2 + 108*u + 1445. Determine l so that c(l) = 0.
-2, -1, 54
Let 62/3*p - 2/9*p**2 + 64 = 0. Calculate p.
-3, 96
Let l(y) be the third derivative of 0*y**6 + 0*y**3 + 105*y**2 + 1/140*y**7 - 3/10*y**5 - y**4 + 0*y + 0. Factor l(h).
3*h*(h - 4)*(h + 2)**2/2
Suppose -3*g = -g - 12. Suppose -17*i + 107 = -153 + 192. Factor 5 + g*h**4 - 9*h**2 + h**2 + 4*h**3 - 3 - i*h.
2*(h - 1)*(h + 1)**2*(3*h - 1)
Let l = 350 + -342. Suppose 6*r + l = 8. Factor -6/11*h + 8/11*h**2 + r.
2*h*(4*h - 3)/11
Let p(z) be the first derivative of -z**4/6 - 12*z**3 - 324*z**2 + 81*z + 61. Let a(h) be the first derivative of p(h). Determine b, given that a(b) = 0.
-18
Let k(q) = -q**2 - 9*q + 1. Let a(o) = 412*o**2 + 8343*o + 42313. Let w(h) = a(h) + 7*k(h). Factor w(x).
5*(9*x + 92)**2
Factor -191605 - 90356 - 66*r + 374*r - r**2 + 512*r + 242*r