7, 0, 43
Suppose 0 = -m - 3*r + 12, -4*m + 4*r + 0*r = 16. Let t = -37970 + 37972. Factor -1/2*v**4 - 13/2*v**t + m + 4*v**3 + 3*v.
-v*(v - 6)*(v - 1)**2/2
Let h = 25/806 + 2582/1209. Let -13/6*o**3 + 2/3*o + h*o**2 + 0 - 2/3*o**4 = 0. What is o?
-4, -1/4, 0, 1
Let b(q) be the second derivative of q**7/147 + 16*q**6/105 + 39*q**5/35 + 8*q**4/3 + 7*q**3/3 + 808*q - 3. What is o in b(o) = 0?
-7, -1, 0
Suppose 4*w + 5*b = 107, 5*w + 32 - 162 = -5*b. Factor y**2 - 17 + 28*y - w*y + 11*y.
(y - 1)*(y + 17)
Let t(w) = -w**3 + 16*w**2 + 20*w - 48. Let v be t(17). Factor v*n - 58*n**2 + 3*n**3 - 12*n - 3*n + 67*n**2.
3*n*(n - 1)*(n + 4)
Let s(k) = k**2 + 17*k + 68. Let l be s(-6). Let y = 12/7 - 94/63. Factor -4/9*w**l + 2/9*w**3 + y*w + 0.
2*w*(w - 1)**2/9
Suppose -12*z + 5*z = -224. Let x = z + -29. Suppose -49 + 29 + 3*h**x - 3*h + 3*h**4 + 20 - 3*h**2 = 0. Calculate h.
-1, 0, 1
Let m(b) be the third derivative of b**6/1200 - 361*b**5/600 + 6623*b**4/48 - 32041*b**3/20 - 5281*b**2. What is h in m(h) = 0?
3, 179
Let p(u) be the third derivative of 16/15*u**4 + 82/75*u**5 + 0*u**3 + 1/420*u**8 + 8/105*u**7 + 0 + 23/50*u**6 + 128*u**2 + 0*u. Let p(j) = 0. What is j?
-16, -2, -1, 0
Let v(w) be the first derivative of 0*w - 129 + 1/4*w**3 - 3/4*w**2. Find l such that v(l) = 0.
0, 2
Let w be (-45)/(-10)*(3 + (-14)/6). Let u(k) be the first derivative of 0*k + 2/45*k**5 + 24 + 1/2*k**4 + 16/9*k**2 + 16/9*k**w. Factor u(t).
2*t*(t + 1)*(t + 4)**2/9
Let q(c) = -59*c**4 + 7*c**3 + 24*c**2 + 16*c + 13. Let p(d) = 184*d**4 - 20*d**3 - 72*d**2 - 48*d - 40. Let n(y) = 9*p(y) + 28*q(y). Factor n(v).
4*(v + 1)**4
Let x be ((-220)/(-110))/(2 - 4/3). Let p(v) be the second derivative of 5/12*v**4 + 0*v**2 + 0 + 5/6*v**x - 13*v. Factor p(g).
5*g*(g + 1)
Let s = 227 - 225. Solve 0*c**s + 10*c - 9*c**2 + 14*c**2 = 0.
-2, 0
Let m = -16 + 19. Let n be (5/((-110)/(-429)))/3. Factor 4*g**2 + 3 + n*g + 1/2*g**m.
(g + 1)**2*(g + 6)/2
Suppose 833*z = 839*z - 330. Let x be 2 + (-20)/8 - z/(-30). Suppose 2/9*m**2 + x*m + 2 = 0. Calculate m.
-3
Let d(c) be the second derivative of -c**8/4480 - 17*c**7/5040 + c**6/180 + c**5/20 + 17*c**4 + 134*c. Let y(l) be the third derivative of d(l). Factor y(i).
-(i - 1)*(i + 6)*(3*i + 2)/2
Suppose 515*u - 685*u = -850. Let h(o) be the first derivative of 1/4*o**2 + 1/4*o - 4 - 1/20*o**u + 0*o**3 - 1/8*o**4. Factor h(j).
-(j - 1)*(j + 1)**3/4
Solve 167 + 5*n**3 - 167 + 376*n - 232*n**2 - 9*n**3 - 140*n = 0 for n.
-59, 0, 1
Let c be -3 + 531/(-135) - (-2 - 5). Let t(b) be the second derivative of 13*b + 1/75*b**5 - 4/15*b**2 + 0 + 1/10*b**4 + c*b**3. Find k, given that t(k) = 0.
-4, -1, 1/2
Let v(q) be the second derivative of -q**5 + q**4 - 23 - 2*q + 0*q**2 + 2/15*q**6 + 6*q**3. Factor v(y).
4*y*(y - 3)**2*(y + 1)
Let v(d) be the second derivative of -5*d**7/42 + 4*d**6/5 + d**5/4 + 1063*d. Factor v(q).
-q**3*(q - 5)*(5*q + 1)
Suppose 385442/13 + 383686/13*h - 1754/13*h**2 + 2/13*h**3 = 0. Calculate h.
-1, 439
Solve -88/7*t**4 + 67/7*t**2 - 81/7*t**3 + 3 + 85/7*t - 4/7*t**5 = 0.
-21, -1, -1/2, 1
Let p(x) = -x**3 - 6. Let k(l) = 5*l**3 - 1563*l**2 + 3117*l - 1545. Let y(d) = -k(d) - 2*p(d). Factor y(i).
-3*(i - 519)*(i - 1)**2
Suppose 15 = x + 4*x - 5*u, 0 = -5*x - 5*u + 5. Factor 167*o**2 - 2*o**3 - 187*o**x + o - 33*o.
-2*o*(o + 2)*(o + 8)
Let p(d) be the second derivative of -d**5/110 - 13*d**4/33 + 56*d**3/33 - 2*d - 53. What is n in p(n) = 0?
-28, 0, 2
Let h(k) be the second derivative of -4/7*k**4 - 18*k + 3/140*k**5 - 3 + 0*k**3 + 0*k**2. Find u, given that h(u) = 0.
0, 16
Let q(s) be the first derivative of s**5/4 + 1085*s**4/16 + 13475*s**3/2 + 557375*s**2/2 + 3001250*s - 6669. Factor q(b).
5*(b + 7)*(b + 70)**3/4
Factor 3/5*s**2 - 159/5 + 156/5*s.
3*(s - 1)*(s + 53)/5
Let h(g) = -g**3 - 6*g**2 + g + 6. Let i be h(-6). Let r(j) = -j**3 + 87*j**2 + 1645*j + 312. Let c be r(103). What is t in 0 + i*t**2 - 3/5*t**c + 12/5*t = 0?
-2, 0, 2
Suppose 12 = -2*d, -348*t + 5*d + 18 = -351*t. Let u(p) be the second derivative of 1/6*p**3 + 1/4*p**t - 7*p - p**2 + 0 - 1/20*p**5 - 1/30*p**6. Factor u(n).
-(n - 1)**2*(n + 1)*(n + 2)
Suppose 2290/9*v + 382/3 - 2/9*v**3 + 1142/9*v**2 = 0. Calculate v.
-1, 573
Let z(h) = 1076*h - 1077*h - 3*h**4 + h**4 - 1. Let t(x) = 17*x**4 + 5*x**3 - 6*x**2 + 5*x + 17. Let i(m) = -2*t(m) - 18*z(m). Solve i(c) = 0 for c.
-1, 2
Let y(c) be the second derivative of -1/100*c**5 + 9*c + 0*c**3 + 1 - 1/60*c**4 + 0*c**2. Factor y(u).
-u**2*(u + 1)/5
Let w = -4735 + 18943/4. Let t(p) be the first derivative of -8 + 3*p + w*p**4 - p**3 - 3/2*p**2. Factor t(m).
3*(m - 1)**2*(m + 1)
Let m(v) be the first derivative of -3*v + 1/48*v**4 + 1/4*v**2 - 3 + 1/8*v**3. Let c(y) be the first derivative of m(y). What is j in c(j) = 0?
-2, -1
Solve -5/3*d**2 - 1/3*d**3 + 14/3*d + 0 = 0.
-7, 0, 2
Let u(s) be the first derivative of -3*s**4 - 244*s**3/3 + 216*s**2 - 176*s - 6204. Suppose u(p) = 0. What is p?
-22, 2/3, 1
Let l be (0 + -7)*(-5)/7. Let v be 40/105 - (30/(-18))/l. Find s such that 3/7*s**2 + 1/7 + 5/7*s - 4/7*s**4 - v*s**3 = 0.
-1, -1/4, 1
Let t be 15/(-9) + 7 - (0 - -4). Suppose 13*y = -3*y + 48. Factor 5/3*l**2 + 0 + 1/3*l + t*l**y.
l*(l + 1)*(4*l + 1)/3
Let d = 234 - 220. Find n such that 18*n**2 - 26*n - 11*n**2 - 3*n**3 + d*n**2 - 4*n = 0.
0, 2, 5
Let d(r) = 1 - 25 + 4*r - 3 - 1 - 5*r**2. Let t(y) = -2*y**2 + y - 9. Let c(f) = 3*d(f) - 8*t(f). Factor c(h).
(h - 2)*(h + 6)
Let j be (2/1)/(-18)*-2. Suppose -349*k + 333*k = -1 + 1. Suppose -2/3*s**4 - j*s**5 - 2/9*s**2 + 0 - 2/3*s**3 + k*s = 0. Calculate s.
-1, 0
Suppose 0 - 2*d - 2/5*d**2 = 0. Calculate d.
-5, 0
Suppose -20710225*i**2 + 300*i + 20710065*i**2 - i**5 - 309*i**3 - 4*i**5 + 160*i**4 + 14*i**3 = 0. Calculate i.
-1, 0, 1, 2, 30
Solve 296*h + h**2 + 236 + 49 + 3*h**2 + 567 = 0 for h.
-71, -3
Let v(d) be the first derivative of d**3 - 65*d**2/2 + 152*d + 77. Let n(g) = 65*g**2 - 1430*g + 3345. Let j(o) = 2*n(o) - 45*v(o). Solve j(q) = 0.
3, 10
Let f = -1/162894 - -2823499/488682. What is m in 4/9*m**2 - f*m + 0 = 0?
0, 13
Let s(y) = -952*y - 7610. Let i be s(-8). Let j(q) be the third derivative of -2/3*q**3 - 3*q**2 - 4*q + 0*q**5 - 7/36*q**4 + 0 + 1/180*q**i. Factor j(c).
2*(c - 3)*(c + 1)*(c + 2)/3
Let m(c) be the second derivative of 25*c**7/42 + 21*c**6/2 - 25*c**5/4 - 525*c**4/4 + 50*c**3/3 + 630*c**2 - 2756*c. Suppose m(g) = 0. What is g?
-63/5, -2, -1, 1, 2
Suppose 4*o = 4*k, -o - o = -3*k + 2. Let n(g) be the second derivative of 1/6*g**4 + g**k - 2/3*g**3 + 26*g + 0. Factor n(x).
2*(x - 1)**2
Let p(h) be the third derivative of 0 + 3/76*h**4 + 1/190*h**5 - 9/19*h**3 - 212*h**2 - 1/1140*h**6 + 0*h. Factor p(i).
-2*(i - 3)**2*(i + 3)/19
Let c(s) = -5*s**2 - 7. Let w(u) = -u**3 + 11*u**2 + 15. Let f(b) = 9*c(b) + 4*w(b). Let l(o) = -5*o**3 - 2*o**2 - 4. Let p(d) = -4*f(d) + 3*l(d). Factor p(v).
v**2*(v - 2)
Let k(i) be the second derivative of i**6/75 + i**5/5 - 23*i**4/30 + 4*i**3/5 - 10328*i. Factor k(c).
2*c*(c - 1)**2*(c + 12)/5
Let l(d) be the first derivative of d**3/2 + 273*d**2/2 + 540*d - 1340. Suppose l(a) = 0. What is a?
-180, -2
Let v be 90247/90 - 25/(-450). Let l = 1003 - v. Determine j, given that l*j**2 + 196/5 - 28/5*j = 0.
14
Suppose -6*d = -176 + 8. Let x be 43/35 - ((-380)/d - -14). Factor -2/5*a + x*a**2 - 2/5*a**3 + 0.
-2*a*(a - 1)**2/5
Let x(f) = 3*f**2 - 9*f - 2. Let o(u) be the third derivative of -u**5/20 + u**4/4 + u**3/2 - 5*u**2 + 3. Let k(v) = -2*o(v) - 3*x(v). Factor k(q).
-3*q*(q - 5)
Let u(p) be the first derivative of p**5/15 + 2867*p**4/3 + 16439378*p**3/3 + 47131696726*p**2/3 + 67563287256721*p/3 - 1318. Factor u(x).
(x + 2867)**4/3
Let u = -943779/44 + 21455. Let m = 74/11 - u. Find g such that -1/2*g + m*g**2 - 1/4*g**3 - 1/2*g**4 + 0 = 0.
-2, 0, 1/2, 1
Let g be 10 - (-8 + 4)/(-3 + -1). Solve 4*v + g + 12*v - 3*v**2 - 9 + 56*v = 0.
0, 24
Let f(c) be the first derivative of 605*c**6/6 - 55*c**5 - 1655*c**4/2 - 1170*c**3 - 1215*c**2/2 - 135*c + 142. Determine r so that f(r) = 0.
-1, -3/11, 3
Let k(h) be the first derivative of -90*h + 15/2*h**2 + 16 + 5/3*h**3. Determine u so that k(u) = 0.
-6, 3
Determine v, given that 14*v + 52/7 + 36/7*v**2 = 0.
-2, -13/18
Let k(m) be the second derivative of 13*m**4/36 - 73*m**3/