 - 5*i**3 + 2*i**4. Suppose k(b) = 0. Calculate b.
-9, -1, 1
Let r(h) be the third derivative of 2*h**7/525 + 7*h**6/30 + 293*h**5/75 - 7*h**4/6 - 196*h**3/5 - 3063*h**2. Let r(n) = 0. Calculate n.
-21, -14, -1, 1
Let d(h) be the first derivative of -h**4/14 + 4*h**2/7 - 516. Factor d(a).
-2*a*(a - 2)*(a + 2)/7
Let 152 - 38*j - 48*j - 3*j**2 - 20*j - 114*j - 6*j = 0. Calculate j.
-76, 2/3
Factor -4398578/5 + 5932/5*w - 2/5*w**2.
-2*(w - 1483)**2/5
Let o be (-2954)/72373 - (-300)/147. Determine r so that 0 + 75/2*r + 3/2*r**o = 0.
-25, 0
Let z be ((-28)/10)/(1908/1590) - -17. Solve 0 - z*j**2 + 0*j + 2/3*j**3 = 0 for j.
0, 22
Let p(o) be the second derivative of -o**5/25 + 37*o**4/15 - 58*o**3 + 630*o**2 + 1372*o. Solve p(l) = 0 for l.
7, 15
Suppose 4 = -2*a + 2*d, 0*d = -4*a - 5*d + 28. Determine f so that 4*f + 2882*f**2 + 100 + 16*f - 2881*f**a = 0.
-10
Let l be 3*(-4)/8*-2 - -266. Suppose -y - 279 = 4*t - l, -5 = 2*y + 3*t. Let -4/11*s - 2/11*s**3 + 0 - 6/11*s**y = 0. What is s?
-2, -1, 0
Let q be 27/18 - (-7)/2. Suppose -10 = 3*h - q*h. What is f in 7*f + 40*f**2 - 5*f**h + 2*f + 6*f + 30*f**3 = 0?
-1, 0, 3
Let i(p) = 2*p**3 + p**2 - p - 1. Let q(j) = -20 - 16*j + 45 - 21 + 12*j**3 + 71*j**2. Let c(d) = -4*i(d) - q(d). What is s in c(s) = 0?
-4, 0, 1/4
Let o(z) be the second derivative of -3/2*z**5 + 34 + 50*z**3 + 1/6*z**6 + 250*z**2 - 2*z - 55/12*z**4. Let o(x) = 0. Calculate x.
-2, 5
Let j(x) be the first derivative of 0*x + 12 - 1/40*x**5 + 0*x**3 + 3/16*x**4 - 4*x**2. Let l(p) be the second derivative of j(p). Factor l(c).
-3*c*(c - 3)/2
Suppose -4*p - 15 + 43 = -2*r, 2*p + r = 6. Suppose -f + 0*f = p*m - 15, -2*m = -6. Determine z, given that 0*z + f + 3/5*z**3 - 3/5*z**2 = 0.
0, 1
Factor 2/11*i**2 + 1022/11*i - 2052/11.
2*(i - 2)*(i + 513)/11
Let c(g) = -26076*g + 78231. Let o be c(3). Suppose 16/7*s + 18/7*s**5 + 30/7*s**4 - 4*s**o - 24/7*s**2 + 0 = 0. Calculate s.
-2, -1, 0, 2/3
Let t(g) be the first derivative of -4*g**3/9 + 12*g + 949. Solve t(k) = 0 for k.
-3, 3
Solve 860*r**2 - 2*r**3 + 5568*r - 810 - 354*r + 8658 = 0.
-3, 436
Let r(w) be the first derivative of 4*w - 1/3*w**3 - 69 - 1/4*w**4 + 2*w**2. Factor r(f).
-(f - 2)*(f + 1)*(f + 2)
Suppose 49*c - 53*c - 178 + 5*c**2 + 166 = 0. Calculate c.
-6/5, 2
Let p be -1 + -2 - (-5470)/1825. Let w = p - -368/1095. Let 4/3*i**2 - 1/3*i**4 - w*i**3 + 4/3*i + 0 = 0. What is i?
-2, -1, 0, 2
Factor -297675/8 + 945/4*m - 3/8*m**2.
-3*(m - 315)**2/8
Suppose 12*y + 178*y = -209*y + 94*y. Suppose -1/12*o**5 - 1/6*o**2 + y - 5/12*o**3 + 0*o - 1/3*o**4 = 0. What is o?
-2, -1, 0
Let d(b) = b**2 + 25. Let z be d(7). Let -79*l + z*l - 20 + 31*l - 4*l**2 - 2*l**3 = 0. Calculate l.
-5, 1, 2
Let 4/5*b**2 + 104/5*b - 224/5 = 0. What is b?
-28, 2
What is h in -2/19*h**2 - 58 - 96/19*h = 0?
-29, -19
Factor 678*o**2 - 174*o**2 - 173*o**2 - 168*o**2 - 168*o**2 + 250 + 115*o.
-5*(o - 25)*(o + 2)
Suppose 19*q + 52*q + 6272 + 41*q - 43*q**2 - 9*q**2 - 4*q**3 - 28*q**2 = 0. Calculate q.
-14, 8
Let p(s) = s**2 + 12*s + 22. Let h(f) = -3*f + 32. Let v be h(14). Let t be p(v). Let 4*m**3 - 8*m**2 + 9*m**t - 5*m**3 = 0. What is m?
0, 1
Let l be 2*-6 - 30*41/(-82). Factor 0 + l*d**4 - 18/5*d**2 + 0*d + 39/5*d**3.
3*d**2*(d + 3)*(5*d - 2)/5
Let a(i) be the first derivative of i**4/10 + 4*i**3/5 - 5*i**2 + 36*i/5 - 1335. Factor a(l).
2*(l - 2)*(l - 1)*(l + 9)/5
Let n(y) be the third derivative of y**8/60 + 178*y**7/525 + 23*y**6/10 + 19*y**5/3 + 64*y**4/15 - 56*y**3/5 - 4354*y**2. Solve n(w) = 0.
-7, -3, -2, -1, 2/7
Let n(v) be the third derivative of -24*v**2 + 1/60*v**5 + 0 - 7/24*v**4 + 0*v + 0*v**3. Factor n(q).
q*(q - 7)
Let v be (-1672583)/(-1658760) + (-4)/30 + 0. Factor -v*x - 1/8*x**4 + 7/8*x**3 + 9/8*x**2 - 1.
-(x - 8)*(x - 1)*(x + 1)**2/8
Factor 167776 - 19*n**2 - 168096 - 80*n + 14*n**2.
-5*(n + 8)**2
Let r = -26712 + 26714. Let x(d) be the first derivative of -1/3*d**r + 5 - 1/3*d - 1/9*d**3. Find a such that x(a) = 0.
-1
Let n be 90/(-124 + 109)*(-4)/15. Factor -2/5*p**3 + n*p - 2/5*p**2 + 8/5.
-2*(p - 2)*(p + 1)*(p + 2)/5
Suppose -143*s + 268*s = 140*s - 20 - 10. Find l such that 3468*l - 78608 - 51*l**s + 1/4*l**3 = 0.
68
Let t be 1/((-57)/(36936/(-90))). Suppose -11/5*b**2 - 36/5*b**3 + 0 - 1/5*b - t*b**4 = 0. What is b?
-1/2, -1/3, -1/6, 0
Let i = 79/12 - 21/4. Let c be 13*(15/(-25) + (-686)/(-910)). What is v in 2 + 2/9*v**c - i*v = 0?
3
Suppose 3*o - 1361 = 2*b - 1338, 0 = 5*b + 35. Let y = 2/3 + -1/15. Factor -6/5*i + 0 - 9/5*i**3 + o*i**2 - 3/5*i**4 + y*i**5.
3*i*(i - 1)**3*(i + 2)/5
Let t(k) be the first derivative of k**6/3 - 28*k**5/5 + 73*k**4/2 - 344*k**3/3 + 176*k**2 - 128*k - 10244. Find f such that t(f) = 0.
1, 4
Suppose -2*j = 28 + 116. Let h = 164 + j. Factor 46*o**3 - o**2 + 2*o - h*o**3 + 4 - 6*o + 47*o**3.
(o - 2)*(o - 1)*(o + 2)
Let q(h) be the third derivative of -h**8/60480 - h**7/7560 - h**6/2160 + h**5/12 + h**2 - 3*h. Let t(n) be the third derivative of q(n). Factor t(s).
-(s + 1)**2/3
Let y = 20/7 - 44/35. Factor -4/5*c**2 - y + 12/5*c.
-4*(c - 2)*(c - 1)/5
Suppose 2/5*s**5 + 0 + 56/5*s + 18*s**2 - 18/5*s**4 + 14/5*s**3 = 0. What is s?
-1, 0, 4, 7
Suppose 4*x - 5*c + 9 = 5, 16 = 5*x - c. Factor 4*i**2 - 7*i**2 + 7*i**2 + 12*i**2 + 8 + 20*i + x*i**3.
4*(i + 1)**2*(i + 2)
Let h = -40 + 42. Let l be 3 - (-1 - (-1 - -5)). Factor 9 + h*f**2 - 4*f**2 - l - 9 - 10*f.
-2*(f + 1)*(f + 4)
Suppose -540/19 + 378/19*i - 10/19*i**3 - 54/19*i**2 + 2/19*i**4 = 0. Calculate i.
-6, 3, 5
Suppose 0 = 150*n - 2825 - 3025. Let k(h) be the first derivative of -n + 2/3*h**3 - 1/6*h**4 - 8/3*h + 0*h**2. Factor k(l).
-2*(l - 2)**2*(l + 1)/3
Let q(m) be the first derivative of -m**3/3 - 155*m**2 + 410. Factor q(r).
-r*(r + 310)
Factor 6*y**2 - 2*y**3 + 56 - 18*y**2 + 0*y - 14 + 2*y + 18.
-2*(y - 2)*(y + 3)*(y + 5)
Let m(i) be the first derivative of 3*i**4/8 - 153*i**3/2 - 927*i**2/4 - 465*i/2 - 7618. Determine z so that m(z) = 0.
-1, 155
Let j(h) be the first derivative of -56 + 8*h - 2*h**4 + 2/3*h**6 + 32/3*h**3 - 14*h**2 - 8/5*h**5. Factor j(y).
4*(y - 1)**4*(y + 2)
Let z = 5/3 + -4/3. Let c = -64565 + 64567. Factor z*p**c + 4/3 - 4/3*p.
(p - 2)**2/3
Suppose 45*i + 5*c + 15 = 48*i, -3*c + 10 = 2*i. Let u(s) be the second derivative of -10/3*s**3 + 7*s + 2/3*s**4 + 0 + s**i - 4*s**2. Factor u(j).
4*(j - 1)*(j + 1)*(5*j + 2)
Let m(b) = 0*b + 3*b - 23 + 31. Let w be m(-2). What is l in 46*l**2 - 5*l**5 + 30*l**4 + 37*l**w - 60*l**3 - 33*l**2 - 16*l + l = 0?
0, 1, 3
Let o = 1702 + -1568. Suppose 46 + o = 36*q. Solve -34/11*p**3 - 8/11*p + 0 - 6*p**4 + 18/11*p**q + 42/11*p**2 = 0.
-1, 0, 1/3, 4
Suppose -219 + 255*q + 14 - 5 + 145*q**2 - 195 + 5*q**3 = 0. Calculate q.
-27, -3, 1
Suppose 0 = -189*n + 35*n + 770. Let t(w) be the third derivative of -1/420*w**n + 0*w - 1/168*w**4 + 0 + 0*w**3 - 9*w**2. Factor t(k).
-k*(k + 1)/7
Let o(r) = 5*r**2 - 172*r + 72. Let x be o(34). Factor -x*k - 6 + 1/2*k**3 + 1/2*k**2.
(k - 3)*(k + 2)**2/2
Let h(v) be the first derivative of -v**3/4 + 243*v**2 - 78732*v - 408. Factor h(k).
-3*(k - 324)**2/4
Let n be (162/108)/((-3)/(-744)). Let s = n + -367. Factor s - 5*c**2 + 5/3*c**3 - 5/3*c.
5*(c - 3)*(c - 1)*(c + 1)/3
Let b(u) be the first derivative of 0*u - 2/33*u**3 + 5/11*u**2 + 53. Factor b(g).
-2*g*(g - 5)/11
Let a(i) be the second derivative of -i**4/54 - 736*i**3/27 - 135424*i**2/9 - 11*i - 3. Factor a(q).
-2*(q + 368)**2/9
Let t(k) be the second derivative of 93*k**5/130 + 92*k**4/39 + 89*k**3/39 - 2*k**2/13 - 3*k - 191. Solve t(h) = 0.
-1, 2/93
Let d = -161 + 165. Factor -4*w**4 + d*w**5 + 4*w**2 - 20*w**3 + 49*w + 10 - 1 - 17*w + 7.
4*(w - 2)**2*(w + 1)**3
Let r be 3 - (3454/(-10) + (-72)/(-180)). Let c be r/240 - (-10)/(-40). Suppose -3/5*f**2 + 0 - c*f = 0. What is f?
-2, 0
Let d be (-2)/3*(-351)/78. Factor j**4 - 36*j + 7*j**d + 23251 - 23251.
j*(j - 2)*(j + 3)*(j + 6)
Let s be (-9)/(-21) + (-900)/(-105). Let d be 0 + 6/s - -8 - 4. Factor d*x**2 + 38/3*x - 4.
2*(x + 3)*(7*x - 2)/3
Factor -5*z**3 + 25280*z - 39*z**2 - 23*z**2 - 25600 + 149*z**2 + 6*z**3 + 232*z**2.
(z - 1)*(z + 160)**2
Let x(v) be the second derivative of 5/4*v**4 - 1/4*v**5 + 0*v**2 - 72*v + 2 - 5/3*v**3. Let x(n) = 0. Calculate n.
0, 1, 2
Let r(i) be the first derivative of -32/7*i - 