/7*h**2 + 0 = 0. Calculate h.
-7, 0, 10
Let c(k) be the first derivative of 3*k**5/100 + 7*k**4/20 + 3*k**3/5 - 13*k + 46. Let h(j) be the first derivative of c(j). Determine a so that h(a) = 0.
-6, -1, 0
Let f be 50/(-6)*(-7614 + 48). Find k, given that -20*k**3 + 370*k**4 - 175*k**5 - 40*k**2 + f*k - 63050*k = 0.
-2/7, 0, 2/5, 2
Suppose -120*h**3 + 206 - 25 - 28*h**4 - 24*h - 181 - 116*h**2 = 0. What is h?
-3, -1, -2/7, 0
What is u in 25 - 50*u**2 - u**3 + 1/2*u + 25*u**4 + 1/2*u**5 = 0?
-50, -1, 1
Let l(i) = -12*i**2 + 429*i - 22477. Let a(o) = 5*o**2 - 214*o + 11238. Let u(q) = -5*a(q) - 2*l(q). Solve u(y) = 0.
106
Let i(z) be the third derivative of -z**5/420 - 1285*z**4/84 - 1651225*z**3/42 + 14*z**2 - 31. Determine q, given that i(q) = 0.
-1285
Let b(u) be the second derivative of -u**6/900 - u**5/75 - u**4/20 + 41*u**3/6 - 22*u - 2. Let a(j) be the second derivative of b(j). Factor a(h).
-2*(h + 1)*(h + 3)/5
Find l such that 1148/5 - 2/5*l**4 + 2866/5*l + 566/5*l**3 + 2286/5*l**2 = 0.
-2, -1, 287
Let q be (((-48)/156)/((-52)/(-338)))/(-14). Factor t**2 + 20/7 - 4*t + q*t**3.
(t - 2)*(t - 1)*(t + 10)/7
Let j(y) be the third derivative of -31/6*y**4 + 2*y**5 + y**2 + 7*y**3 - 12*y + 0 - 1/105*y**7 - 3/10*y**6. Factor j(s).
-2*(s - 1)**3*(s + 21)
Let a = 2244 - 2241. Let y(w) be the third derivative of -1/90*w**5 - 1/18*w**4 + 18*w**2 - 1/9*w**a + 0 + 0*w. Factor y(i).
-2*(i + 1)**2/3
Determine w so that -15*w**3 + 1023*w - 385*w - 36*w**2 + 3*w**4 - 530*w = 0.
-3, 0, 2, 6
Let q = -14/7179 - -86246/50253. Factor -9/7*h - 3/7*h**2 + q.
-3*(h - 1)*(h + 4)/7
Let h(s) be the second derivative of -3*s**5/20 - 53*s**4/4 - 328*s**3 - 3552*s**2 - 3925*s. Factor h(z).
-3*(z + 8)**2*(z + 37)
Let m(q) be the second derivative of -1/36*q**4 - 9*q + 1/9*q**3 + 1/2*q**2 + 0. Factor m(k).
-(k - 3)*(k + 1)/3
Let s(w) be the second derivative of 5*w**9/3024 + w**8/112 + w**7/84 - 13*w**3/6 - 9*w. Let j(o) be the second derivative of s(o). Factor j(v).
5*v**3*(v + 1)*(v + 2)
Suppose -16*f + 4603 = 4523. Let m(x) be the third derivative of 1/24*x**4 + 0 + 0*x - 1/3*x**3 + 1/60*x**f + 22*x**2. Suppose m(l) = 0. Calculate l.
-2, 1
Let b = 130 + -120. What is m in -3*m**2 + 9*m - b*m**3 + 12*m**5 + 15*m**3 - 26*m**3 + 3*m**4 = 0?
-1, 0, 3/4, 1
Suppose 4*v = -2*o - 3*o - 8, -4*v + 4*o = 8. Let a be ((-7)/v - 1) + (-2)/4. Factor 11*m**2 - 7*m - 8*m**2 - a + 0*m - 6*m**2.
-(m + 2)*(3*m + 1)
Suppose 426*h**4 - 2*h**5 + 7*h**5 + 423*h**4 - 10*h**2 - 864*h**4 - 15*h**3 + 45*h**2 + 30*h = 0. Calculate h.
-1, 0, 2, 3
Suppose -4*w = -2*b + 9 - 33, -19 = -3*w + 2*b. Suppose 4*o - 215 = 2*o + d, -w*o = d - 555. Factor -46*n**4 + 100*n + 18 + o*n**3 + 165*n**2 + 71*n**4 + 2.
5*(n + 1)**2*(n + 2)*(5*n + 2)
Let y(n) be the third derivative of 0*n + 0 + 5/8*n**4 - 1/48*n**5 + 35/6*n**3 + 150*n**2. Determine o so that y(o) = 0.
-2, 14
Let h be (-30)/(-12) + 18/12. Solve 4*f**3 + 0*f**h + 0*f + 3*f**2 + f**4 + 0*f - 9*f + f**3 = 0.
-3, 0, 1
What is l in 214*l**2 - 907*l**2 - 81*l**3 - 3*l**4 - 1575*l - 440*l + 104*l = 0?
-13, -7, 0
Let h(x) be the second derivative of 27/4*x**4 + 104*x + 0*x**2 - 3/2*x**5 + 1/10*x**6 - 9*x**3 + 0. Factor h(f).
3*f*(f - 6)*(f - 3)*(f - 1)
Factor 75*q**3 - 141/2 - 216*q**2 + 213*q - 3/2*q**4.
-3*(q - 47)*(q - 1)**3/2
Let r(b) be the first derivative of 2*b**5/15 + 163*b**4/6 + 1980*b**3 + 55404*b**2 + 104976*b + 787. Let r(k) = 0. Calculate k.
-54, -1
Let f(g) = 8*g - 60. Let h(a) = -3*a + 22. Let k(d) = -4*f(d) - 11*h(d). Let p(b) = 2*b**2 - 28. Let n(q) = 2*k(q) - p(q). Find l such that n(l) = 0.
-3, 4
Let p(n) be the second derivative of n**7/630 + n**6/360 - n**5/90 + 157*n**2/2 + 31*n. Let t(z) be the first derivative of p(z). Factor t(k).
k**2*(k - 1)*(k + 2)/3
Suppose 4*y = 31*y - 54. Solve -17*s**y - 203*s**3 + 205*s**3 + 30*s**2 + 21*s**2 = 0 for s.
-17, 0
Let v(l) be the first derivative of -13*l**5 - 14 + 0*l + 140/3*l**3 + 55/4*l**4 + 10*l**2. Find r such that v(r) = 0.
-1, -2/13, 0, 2
Let o(t) = -7*t**2 + 11933*t + 17808497. Let n(l) = -4*l**2 + 11934*l + 17808502. Let g(b) = -6*n(b) + 4*o(b). Determine x, given that g(x) = 0.
-2984
Let x = 41459 - 41457. Determine m so that 1/5*m**x + 245 + 14*m = 0.
-35
Suppose -395 = -12*i - 311. Suppose 4*w = -3*c + i, 6*c - 2*c + 28 = 4*w. Factor -1/4*p**w - 2*p + 1/4*p**2 - 1/4*p**5 + 1 + 5/4*p**3.
-(p - 1)**3*(p + 2)**2/4
Let s = 1027 - 747. Let w be (25/(-6))/(10/(s/(-21))). Factor 20/9*r + w + 2/9*r**2.
2*(r + 5)**2/9
Let -11388/5*u - 16210818/5 - 2/5*u**2 = 0. What is u?
-2847
Let m(l) be the second derivative of -l**7/504 - l**6/18 - 2*l**5/3 - 55*l**4/12 - 13*l - 3. Let p(j) be the third derivative of m(j). Factor p(b).
-5*(b + 4)**2
Suppose -20*m + 14 - 20 + 86 = 0. Let o(x) be the first derivative of -4/15*x**3 - 1/20*x**m - 2/5*x**2 + 0*x + 1. Factor o(a).
-a*(a + 2)**2/5
Suppose 5*n = -y + 137, 5*y = -13 - 2. Let z be ((-231)/(-5))/3 - n/70. Factor z*c**2 - 16*c - 32*c + 10 + 30*c**4 + 3*c + 65*c**2 - 5*c**5 - 70*c**3.
-5*(c - 2)*(c - 1)**4
Suppose 4*u + 4*f = -4, -u + 54 - 55 = 3*f. Let z be (-206)/515*5*u. Factor -126/13*r**z - 54/13*r**4 - 4/13 + 38/13*r + 162/13*r**3.
-2*(r - 2)*(3*r - 1)**3/13
Let a(j) be the second derivative of -j**7/840 + j**6/180 - j**5/120 - 14*j**3/3 + 14*j. Let w(l) be the second derivative of a(l). Solve w(u) = 0 for u.
0, 1
Let d(t) be the third derivative of -59/15*t**5 + 0 - 37/30*t**6 - 35/6*t**4 - 4*t**3 - 2/15*t**7 + 0*t + 9*t**2. Let d(h) = 0. What is h?
-3, -1, -2/7
Suppose 5*y - 2*n = n + 15, n = 4*y - 19. Let a be (-6 + 48/6)/(8/y). Suppose -a*b**2 - 1/4*b**3 - 9/4*b + 0 = 0. Calculate b.
-3, 0
Let j(d) = -8*d**2 - 935*d + 1698. Let v(q) = 3*q**2 + 312*q - 564. Let s(p) = 6*j(p) + 17*v(p). Determine k so that s(k) = 0.
2, 100
Let a(o) be the third derivative of -23*o**5/270 + o**4/6 + 5*o**3/27 + 2*o**2 - 1683*o. Suppose a(r) = 0. Calculate r.
-5/23, 1
Let u(f) be the first derivative of f**4/22 + 2*f**3/33 - 37*f**2/11 + 70*f/11 + 909. Find k, given that u(k) = 0.
-7, 1, 5
Let j(u) be the third derivative of -u**5/210 - 1616*u**4/21 - 10445824*u**3/21 - 13712*u**2. Solve j(n) = 0.
-3232
Suppose 13*x + 15 = 18*x. Solve -200*d - 47 + 63*d**4 - 75*d**x + 55*d**4 - 128*d**4 - 13 - 195*d**2 = 0.
-3, -2, -1/2
Let b(i) = -597*i - 63279. Let h be b(-106). Factor 2187/5*c + 0 + 3/5*c**h + 162/5*c**2.
3*c*(c + 27)**2/5
Suppose -4*k + 3*p = 4*p - 44, -p = -4. Suppose -50*f = -48*f - k. Find h such that 29*h**5 + 37*h**5 - 5*h**3 - 61*h**f = 0.
-1, 0, 1
Let l(b) be the second derivative of b**5/5 - 17*b**4/3 + 18*b**3 + 90*b**2 + 166*b + 4. Factor l(i).
4*(i - 15)*(i - 3)*(i + 1)
Suppose 3*g - 4 = 2. Suppose 0 = -g*d + 5*d. Factor 3*q**3 + 5*q - 7*q - 7*q + d*q**3 - 6.
3*(q - 2)*(q + 1)**2
Let t(s) be the second derivative of s**5/70 + 31*s**4/42 + 50*s**3/7 + s - 884. Factor t(i).
2*i*(i + 6)*(i + 25)/7
Let z be 124 - ((-11)/99 + 34/(-18)). Let i = z - 123. Factor -5/6*b**i + 3/2*b**2 - 7/6*b + 1/6*b**4 + 1/3.
(b - 2)*(b - 1)**3/6
Factor 0 - 1/4*y**3 + 117*y - 58*y**2.
-y*(y - 2)*(y + 234)/4
Factor 39*h - 212*h**2 - 208*h**2 - 12 + 19 - 179 + 421*h**2.
(h - 4)*(h + 43)
Suppose c + o = 4, -15 = 20*o - 15*o. Suppose 0 = -3*r - 14 + 2. Let i(l) = 4*l**2 - 8. Let t(v) = 8*v**2 + v - 16. Let p(z) = c*i(z) + r*t(z). Factor p(b).
-4*(b - 1)*(b + 2)
Let b = -135 + 135. Let o be (b/(2 + -5 + 2))/1. Factor o - 2/3*m + m**4 + 1/3*m**3 + 1/3*m**5 - m**2.
m*(m - 1)*(m + 1)**2*(m + 2)/3
Let v(q) be the first derivative of -q**3/18 - 43*q**2/6 - 1849*q/6 - 847. Suppose v(b) = 0. What is b?
-43
Let z(v) be the third derivative of 0*v + 17/30*v**4 + 0 - 57*v**2 - 1/75*v**5 - 32/15*v**3. Suppose z(l) = 0. What is l?
1, 16
Let h = 837/20 + -411/10. Let y be (-18)/(-90) - (-2)/(-10). Factor h*z**3 + 3/2*z + y + 9/4*z**2.
3*z*(z + 1)*(z + 2)/4
Let n(r) = -10*r**2 + 1535*r + 1490. Let m(g) = -9*g**2 + 1533*g + 1498. Let k(p) = 5*m(p) - 4*n(p). Find o such that k(o) = 0.
-1, 306
Let g(k) be the third derivative of -271*k**7/1155 + k**6/330 - 10*k**2 - 28*k. Factor g(o).
-2*o**3*(271*o - 2)/11
Let o = -128351 - -1283511/10. Factor -1/5*b**2 + 0*b + 1/10*b**4 + 0 - o*b**3.
b**2*(b - 2)*(b + 1)/10
Let w(x) be the third derivative of 5*x**8/336 + 19*x**7/42 + 103*x**6/24 + 12