 1
Let -270 + 30*j**2 - 258 + 72*j**2 + 3*j**3 + 528 = 0. What is j?
-34, 0
Let t = -9251 - -9255. Let w(u) be the second derivative of 0 - 5/48*u**t + 15*u + 0*u**2 + 5/12*u**3. Let w(l) = 0. What is l?
0, 2
Suppose 3*i - 481 = 8*h - 3*h, i - 4*h = 165. Factor 70*d**5 - 45*d - 141*d**5 - 32*d**4 + i*d + 75*d**5 + 100*d**3 - 32 - 152*d**2.
4*(d - 2)**3*(d - 1)**2
Let i be (672/448)/((-21)/(-28)). Factor -64/5*v - 1/5*v**3 + 0 - 16/5*v**i.
-v*(v + 8)**2/5
Suppose 55 = 61*f - 67. Let s(r) be the first derivative of 4/3*r**3 + 0*r**f - 4*r + 4. Solve s(z) = 0.
-1, 1
Let v = -19142 - -19146. Let n(i) be the second derivative of -8/15*i**5 - 33*i - i**3 + 0 + 1/3*i**2 + 4/3*i**v. Factor n(p).
-2*(p - 1)*(4*p - 1)**2/3
Let p = 160 + -156. Factor 26*s**4 - 460*s - 8*s**4 - s**4 + 29*s**2 + 70*s**3 - 8*s**p + 100.
(s - 2)*(s + 5)**2*(9*s - 2)
Suppose -2*v - 4*y = -5*v + 60, 2*y = v - 18. Let w be v/(-5) + 5 - (-1)/(-5). Factor -2*j**2 + w*j**2 - j**2 + 42*j - 48*j.
-3*j*(j + 2)
Suppose 844/5*u**2 + 802/5*u - 84/5 - 42/5*u**3 = 0. What is u?
-1, 2/21, 21
Suppose -4*k = -12, -u + 0*k + 22 = 4*k. Let 92*y**2 - 412*y**2 - u + 7*y**3 + 175*y + 148*y**3 = 0. What is y?
2/31, 1
Let m(x) be the third derivative of 3*x**6/20 + x**5/6 - 7*x**4/6 + 108*x**2. Factor m(l).
2*l*(l - 1)*(9*l + 14)
Let h(z) be the second derivative of -63/100*z**5 + 25*z + 0 - 117/50*z**6 + 11/2*z**4 + 18/5*z**3 - 12/5*z**2. Let h(y) = 0. What is y?
-2/3, 2/13, 1
Let q**3 + 1071*q**5 + 92*q**4 - 1067*q**5 - 5*q**3 - 92*q**2 = 0. What is q?
-23, -1, 0, 1
Suppose 5*o + 4 = -1, 4*o = -3*z + 647. Suppose -z*h = -215*h - 4. Let 0 + 1/6*g**3 + 1/6*g**h - 1/3*g = 0. Calculate g.
-2, 0, 1
Let x(m) = 2*m**3 - 4*m**2 - 20*m + 65. Let b be x(3). Factor b*j + 3*j**4 - 25*j**3 - j**4 + 9*j**3 + 10*j - 22*j**2 + 3*j.
2*j*(j - 9)*(j - 1)*(j + 2)
Let -394888 - 3190*o**2 + 2032*o + 3188*o**2 - 121240 = 0. Calculate o.
508
Let f(r) = 3*r**3 - 14*r**2 - 3*r + 12. Let t be f(5). Suppose 108*x - t = 97*x. Factor 0 + 0*k - 2/3*k**3 + 4/9*k**x + 2/9*k**4.
2*k**2*(k - 2)*(k - 1)/9
Factor -1/4*a**3 + 321/4*a + 351/4 - 31/4*a**2.
-(a - 9)*(a + 1)*(a + 39)/4
Let h(j) be the first derivative of -247*j**3/9 + 35*j**2/2 + 22*j/3 + 1748. Factor h(m).
-(13*m + 2)*(19*m - 11)/3
Let o(w) = 6*w**2 - 3*w + 17. Suppose -25*k - 53 + 178 = 0. Let h(n) = -4*n**2 + n - 9. Let a(r) = k*h(r) + 3*o(r). Suppose a(j) = 0. What is j?
-3, 1
Let d(z) be the second derivative of 7/4*z**5 + 0*z**2 - 5/2*z**4 - 10/9*z**3 - 1 - 32*z - 11/36*z**6. Factor d(l).
-5*l*(l - 2)**2*(11*l + 2)/6
Let c(h) = 61*h**2 - 932*h + 309. Let g(l) = 30*l**2 - 495*l + 155. Let b(s) = 5*c(s) - 9*g(s). Factor b(q).
5*(q - 5)*(7*q - 6)
Let u = -259530 - -259532. Factor 512/3 + 64/3*c + 2/3*c**u.
2*(c + 16)**2/3
Let l(q) be the first derivative of -3*q**4/22 - 14*q**3/11 + 12*q**2 - 652. Factor l(n).
-6*n*(n - 4)*(n + 11)/11
Let c(n) be the first derivative of -19/5*n + 1/15*n**3 + 9/5*n**2 + 49. Factor c(p).
(p - 1)*(p + 19)/5
Let u(v) = 123*v + 21 - 181 - 71 - 45*v. Let q be u(3). Suppose -9/2*f - 1/2*f**3 + q*f**2 + 2 = 0. Calculate f.
1, 4
Let k = 6262 - 6260. Let w(g) be the second derivative of -1/23*g**4 + 0 - 1/345*g**6 - 41*g + 2/115*g**5 - 1/23*g**k + 4/69*g**3. Suppose w(a) = 0. What is a?
1
Suppose 1022 = 304*g - 249*g + 456*g. Factor 21/2*a**g - 3/2*a**3 + 0 + 0*a.
-3*a**2*(a - 7)/2
Let o be (-4)/(-10) - 56/140. Suppose o = 13*f - 11*f - 52. Suppose 1 + 3*n**2 + 2*n**2 + 4 + f*n - 16*n = 0. Calculate n.
-1
Let o(u) be the second derivative of -4*u**7/21 - 17*u**6/30 + 47*u**5/10 + 19*u**4/3 - 124*u**3/3 - 16*u**2 + 6734*u. Suppose o(q) = 0. What is q?
-4, -2, -1/8, 2
Suppose 0 = m - 4*z - 44, -m + 49 = -0*m + z. Let g = m + -44. Factor 0 - 20/3*v**2 - 22*v**3 - 32/3*v**5 - 80/3*v**g - 2/3*v.
-2*v*(v + 1)**2*(4*v + 1)**2/3
Factor -2/3*o**3 - 784/3 + 4*o**2 + 42*o.
-2*(o - 7)**2*(o + 8)/3
Suppose 1 - 13 = -2*x. Let z be ((-5)/(-15))/(-2 + (-273)/(-135)). Factor 3*h**2 - 3*h**2 - z - x*h + 2*h**2 + 7.
2*(h - 4)*(h + 1)
Suppose 0 = -4*a + 2*z - 18, 128 = -58*z + 751 + 131. Let -15/2*q**4 + 5/2 + 5*q**a + 14*q**3 - 12*q - 2*q**5 = 0. Calculate q.
-5, -1, 1/4, 1
Let b be ((-44)/33)/(2/(-9)). Suppose -v = 4 - b. Solve 7 + 2*t**3 - 11 + 8*t**v - 2*t**3 - 4*t**4 = 0.
-1, 1
Let x(r) be the third derivative of 0*r**3 + 7/240*r**6 - 1/15*r**5 + 0 - 1/420*r**7 - 16*r**2 - 1/3*r**4 + 2*r. Factor x(w).
-w*(w - 4)**2*(w + 1)/2
Suppose 3*a = p + 328 + 100, -5*p + 5 = 0. Let n be a/182 + (-4)/8. Factor 4/7 - n*t**2 + 2/7*t.
-2*(t - 2)*(t + 1)/7
Let j(d) be the third derivative of -1/5*d**5 + 0 + d**2 + 1/120*d**6 + 0*d + 0*d**3 - 7/6*d**4. Let j(c) = 0. Calculate c.
-2, 0, 14
Let c(b) be the second derivative of -b**4/12 + 305*b**3/3 + 611*b**2/2 + 1905*b. Factor c(l).
-(l - 611)*(l + 1)
Find k such that -296 + 1930*k - 4*k**2 + 1813*k - 4043*k = 0.
-74, -1
Let h(m) be the second derivative of -m**5/15 + m**4/4 - m**3/3 + 122*m**2 - 17*m. Let l(o) be the first derivative of h(o). Solve l(v) = 0 for v.
1/2, 1
Let n(u) be the first derivative of -u**4/18 - 292*u**3/27 - 251. Factor n(j).
-2*j**2*(j + 146)/9
Suppose -19*a + 16*a = -90. Let h(p) = -p**2 + 5*p + 3. Let m be h(5). Find d, given that 3*d**3 + 5*d**m + 4*d - a*d**2 + 8 + 20*d = 0.
-1/4, 2
Let q be -9 - (6/(-5) - ((-26)/26)/(5/(-40))). Factor 32/5*a**3 + 96*a + q*a**4 + 286/5*a**2 + 45.
(a + 1)**2*(a + 15)**2/5
Let m(b) be the third derivative of b**7/105 + 3*b**6/20 - 39*b**5/10 - 5*b**4/12 + 400*b**3 - 2035*b**2. Let m(r) = 0. What is r?
-16, -3, 5
Suppose -6*h + 6*h = -9*h. Let t(a) be the second derivative of 2/5*a**2 - 16*a + 17/30*a**4 + h - 19/15*a**3. Determine m so that t(m) = 0.
2/17, 1
Let h(d) be the second derivative of d**6/2 + 5*d**5/2 + 5*d**4/12 - 5*d**3 + 97*d. Factor h(n).
5*n*(n + 1)*(n + 3)*(3*n - 2)
Let m(o) be the third derivative of -5*o**8/336 - 5*o**7/21 - 35*o**6/24 - 25*o**5/6 - 5*o**4 - 722*o**2 + o. Suppose m(c) = 0. Calculate c.
-4, -3, -2, -1, 0
Let r(i) = 37*i + 263. Let d be r(-7). Factor -6*y**2 + 3*y**5 + 443*y**3 + 433*y**3 - 885*y**3 - 2*y**d + 2*y**4.
3*y**2*(y - 2)*(y + 1)**2
Let l be (-32 - -35) + (-1256)/420. Let s(w) be the third derivative of 0*w**4 - l*w**7 + 0*w**5 + 1/60*w**6 + 0*w**3 + 0 + 0*w - 22*w**2. Factor s(f).
-2*f**3*(f - 1)
Suppose -c + 16 = 14. Let z(g) be the first derivative of 0*g - 5/4*g**4 - 1/5*g**5 + 1/6*g**6 + 0*g**c - g**3 - 11. Find h, given that z(h) = 0.
-1, 0, 3
Suppose -6*l = -11*l + 3*q + 13, -4*q - 4 = 0. Factor 40/7 - 6/7*h**l - 8*h.
-2*(h + 10)*(3*h - 2)/7
Suppose -118*p + 644 = 9*p + 34*p. Let t(d) be the third derivative of -1/105*d**7 + 0 + 0*d**p + d**2 + 0*d**3 - 15*d + 0*d**5 + 1/15*d**6. Factor t(f).
-2*f**3*(f - 4)
Let v(u) be the third derivative of 58 - 11/57*u**3 - 1/1140*u**6 - 23/228*u**4 - 2*u**2 - 13/570*u**5 + 0*u. Find t such that v(t) = 0.
-11, -1
Let f be 8804/(-186) - (-4)/6*-3. Let h = -49 - f. Determine l, given that -2/3*l**2 + h*l**3 + 0*l + 0 = 0.
0, 2
Suppose 0 = -4*d - 89 + 109. Let u(l) be the third derivative of 0*l + 0 - 5/108*l**4 + 11*l**2 - 1/270*l**d - 2/9*l**3. Let u(m) = 0. What is m?
-3, -2
Let u(n) be the second derivative of 0*n**2 + 4/3*n**4 - 42*n + 0 + 0*n**3 - 7/5*n**5 + 2/21*n**7 + 4/15*n**6. Factor u(z).
4*z**2*(z - 1)**2*(z + 4)
What is s in -215 - 511*s + 154*s - 408*s**2 + 666 + 411*s**2 + 929 = 0?
4, 115
Let g be ((-2912)/672)/((-52)/24). Suppose -7/2*t - 1/2*t**g - 6 = 0. What is t?
-4, -3
Let n(b) = -9*b - 249. Suppose 0 = -54*x + 20*x - 952. Let d be n(x). Determine v so that 5/2*v**2 + 2 + 4*v + 1/2*v**d = 0.
-2, -1
Let i(p) be the third derivative of p**6/780 - 823*p**5/390 - 275*p**4/26 - 9648*p**2. Determine x so that i(x) = 0.
-2, 0, 825
Let j = 319/228 - 683543/1140. Let n = j + 599. Solve -6/5*k + 2/5*k**2 + n = 0.
1, 2
Let w(m) = 5*m**2 - 2*m - 3. Let o be w(-4). Let -o*h**4 - 72*h - 26*h + 215*h**2 - 12*h + 40*h**3 - 40 - 20*h**5 = 0. What is h?
-4, -2, -1/4, 1
Let c = 3123802/3 - 1041267. Find n such that -c*n + 16/3*n**2 + 1/3*n**3 - 16/3 = 0.
-16, -1, 1
Let p be 66/44*(-316)/(-237). Factor -2/7*k**p - 18/7 + 20/7*k.
-2*(k - 9)*(k - 1)/7
Let y(d) be the second derivative of d**4/30 + 139*d**3/15 - 282*d**2/5 - 521*d. Let y(b) = 0. What is b?
-141, 2
Let w(p) = -4*