 -19 + 8. Let a be (-2 + 1)/z - (7 - 10). What is f in -f + 10*f**2 + 0*f**4 + 8*f**3 - 8 + 2*f**4 - a*f**2 - 7*f = 0?
-2, -1, 1
Let 23/2*t**2 - 9*t - 4 - 15/2*t**4 + 29/2*t**3 - 11/2*t**5 = 0. Calculate t.
-2, -1, -4/11, 1
Let x(w) be the first derivative of -4/3*w**3 + 124*w - 60*w**2 + 168. Find i, given that x(i) = 0.
-31, 1
Let r be ((-2)/4)/(20/(-320)). Factor 11*d**2 - 1016 - 23*d**2 + 128*d + 8*d**2 - r.
-4*(d - 16)**2
Let l(f) = -3*f + 4 + 3 - 2 + 4*f - 8*f. Let k be l(0). Solve 2*s**2 + 0 + 10/7*s**4 - 2/7*s**k - 4/7*s - 18/7*s**3 = 0.
0, 1, 2
Let a(f) be the third derivative of -f**6/720 + f**5/45 - 5*f**4/48 - 2114*f**2. Determine s, given that a(s) = 0.
0, 3, 5
Suppose 98*b + 1/2*b**2 + 195/2 = 0. Calculate b.
-195, -1
Let c(w) be the first derivative of -147 + 216/5*w + 18*w**2 + 1/5*w**4 + 16/5*w**3. Factor c(y).
4*(y + 3)**2*(y + 6)/5
Solve -13/2*b**3 - 183/2*b**2 + 2561/2*b - 1183 + 1/2*b**4 = 0.
-14, 1, 13
Suppose -220*r + 314*r = 0. Let p = 715/2 + -356. Factor -p*u**2 + 3/2 + r*u.
-3*(u - 1)*(u + 1)/2
Suppose 0 = 5*a - 193 + 2068. Let n = a + 1505/4. Factor -n*r - 3/2 - 1/4*r**2.
-(r + 2)*(r + 3)/4
Let w be 16/10 - 1684/(-4210). Factor 0 - 4/5*m**w + m.
-m*(4*m - 5)/5
Factor 1/2*r**2 + 347/2*r + 0.
r*(r + 347)/2
Let -16*a**2 + 13*a**2 + 599 + 718 - 861*a + 743*a - 1196*a = 0. Calculate a.
-439, 1
Suppose 21 - 3 = 3*j + 3*p, 2*j - p = 3. Let 3/2*r**4 + 0 + 9/2*r**3 + 0*r + j*r**2 = 0. Calculate r.
-2, -1, 0
Let t(r) be the second derivative of 0 + 7/48*r**3 - 1/240*r**6 - 1/8*r**2 - 3/32*r**4 + 19*r + 1/32*r**5. Factor t(a).
-(a - 2)*(a - 1)**3/8
Let s(j) = 2*j**2 - 76*j - 350. Let p(m) = m**2 - 75*m - 340. Let v(i) = -4*p(i) + 3*s(i). Let v(d) = 0. Calculate d.
-31, -5
Let l(m) be the third derivative of -128/3*m**3 + 12/5*m**5 + 0 - 11/30*m**6 + 2/105*m**7 - 3*m**2 - 35*m - 8/3*m**4. Suppose l(g) = 0. What is g?
-1, 4
Let m be -1 + 1 + 3/5. Suppose -4096 + 4096 = -700*r + 36*r. Determine k, given that r - 1/5*k**2 - m*k = 0.
-3, 0
Let a(t) be the second derivative of -t**6/60 - 4*t**5/15 + 3*t**4/4 + 87*t**2 - t + 5. Let d(i) be the first derivative of a(i). Let d(r) = 0. What is r?
-9, 0, 1
Let h be 2/((-2)/122*-1). Suppose -4*d - 2*w + h = 0, 3*w = -2*d + 4*d - 73. Solve -2*g**4 + g**3 + 23 - g**3 - d*g + 8*g**3 + 9 = 0 for g.
-2, 2
Let z = 4329/658 + 303/329. Factor -3/8*d**4 - z*d - 27/4*d**2 - 3 - 21/8*d**3.
-3*(d + 1)*(d + 2)**3/8
Let d(v) be the third derivative of 1/900*v**6 + 0*v**4 - 1/2520*v**8 + 0 - 4*v - 2/1575*v**7 + 0*v**3 - 3*v**2 + 1/225*v**5. What is o in d(o) = 0?
-2, -1, 0, 1
Suppose t - 4 + 1 = 2*p, -5*t = 4*p - 29. Let x(i) = -4*i**4 - 53*i**3 - 35*i**2 + 48*i + 44. Let w(d) = d**3 - d**2. Let l(z) = t*w(z) + x(z). Factor l(r).
-4*(r - 1)*(r + 1)**2*(r + 11)
Suppose -81 = 2*u - 93. Suppose 0 = -3*n - u + 21. Factor 892*i**3 + 210*i**2 + 11*i + 65 - 972*i**3 - 211*i + n*i**4.
5*(i - 13)*(i - 1)**3
Let g = 4180 + -4180. Let n = 30 - 28. Factor g*z + 2/9*z**n + 0.
2*z**2/9
Let w(z) = z**2 + 6*z + 8. Let p be w(-5). Suppose 0*j - p*j = -12. Let 3*x**j + 6*x**5 - 5*x**4 + 18*x**2 + 27*x - 46*x - 22*x**3 + 27*x - 8 = 0. What is x?
-2, -2/3, 1
Let h(x) = 12*x**2 - 708*x + 32412. Let s(z) = -14*z**2 + 705*z - 32415. Let g(q) = 5*h(q) + 4*s(q). Let g(v) = 0. What is v?
90
Let v = -14764 + 14769. Let y(n) be the second derivative of -29*n + 0*n**3 + 0 + 1/3*n**4 + 1/21*n**7 + 0*n**2 - 1/10*n**v - 2/15*n**6. Solve y(z) = 0.
-1, 0, 1, 2
Let j(q) be the third derivative of -1/48*q**4 + 0*q + 0 - 1/3*q**3 - 39*q**2 + 1/240*q**5. Factor j(o).
(o - 4)*(o + 2)/4
Let i(r) be the third derivative of r**8/40320 - r**7/2520 - r**6/288 + 3*r**5/10 - 15*r**2. Let p(j) be the third derivative of i(j). Factor p(f).
(f - 5)*(f + 1)/2
Find y such that -199710/13*y**2 - 1262/13*y**3 - 2/13*y**4 - 198450/13*y + 0 = 0.
-315, -1, 0
Let g(r) = -2*r**2 + 68*r - 224. Let i(l) = -5*l + 2. Let s(u) = 2*g(u) + 44*i(u). Factor s(a).
-4*(a + 6)*(a + 15)
Let w(f) be the first derivative of 1/240*f**5 + 0*f**4 - 12*f**2 + 0*f**3 - 8 + 0*f. Let d(g) be the second derivative of w(g). Find a such that d(a) = 0.
0
Let n = -3146 + 3146. Let a(t) be the second derivative of -1/10*t**5 - 1/15*t**6 + 0*t**2 - 35*t + 1/6*t**4 + 1/3*t**3 + n. Factor a(k).
-2*k*(k - 1)*(k + 1)**2
Let q(m) = -6*m**3 - 152*m**2 - 642*m - 524. Let k(u) = 3*u**3 + 77*u**2 + 321*u + 263. Let d(l) = 7*k(l) + 4*q(l). Factor d(g).
-3*(g + 1)*(g + 5)*(g + 17)
Factor -10716*o - 7128*o**3 + 7124*o**3 + 44180 + 43*o**2 + 30*o**2 - 10*o**2 + 333*o**2.
-4*(o - 47)**2*(o - 5)
Let s = -1232425/3 + 410817. Determine g so that 24 - 2/3*g**4 - 2/3*g**5 + s*g**3 + 2/3*g**2 - 32*g = 0.
-3, 1, 2
Let x = 55 + -45. Factor 10 - 2*n**2 + 8*n - 32 - x + 8*n.
-2*(n - 4)**2
Let k be ((-8)/72*8/2)/((-6)/54). Suppose 2/15*x - 4/15*x**k - 2/15*x**3 + 2/5*x**2 - 2/15 = 0. Calculate x.
-1, 1/2, 1
Determine b so that -662/17*b**2 - 2/17*b + 2/17*b**3 + 662/17 = 0.
-1, 1, 331
What is w in -20/7*w**2 + 18/7 - 3/7*w**5 + 30/7*w**3 - 27/7*w + 2/7*w**4 = 0?
-3, -1, 2/3, 1, 3
Let l be 25975/260 - 5/(100/(-5)). Let j = -100 + l. Factor 0 - 2/13*n**2 + 0*n + j*n**4 + 0*n**3.
2*n**2*(n - 1)*(n + 1)/13
Let y be 54/216*(-16)/(-154). Let c = y - -65/462. Solve -2/3*x**4 - 2/3*x**2 + x**3 + c*x**5 + 0 + 1/6*x = 0 for x.
0, 1
Suppose 2*x - 7*x = -5. Let n = 714 + -712. Factor 69*b + x + 4*b**n - 65*b + 0*b**2.
(2*b + 1)**2
Suppose 26 = -7*w + 40. Factor -3*d + 21 + 2*d**2 - 3*d**2 + w*d - 1.
-(d - 4)*(d + 5)
Let g = 23612 + -56. Determine d so that -g*d + 11*d**3 - 3*d**4 + 24 + 23520*d + 6*d**2 - 2*d**3 = 0.
-2, 1, 2
Let x(t) be the first derivative of -81 + 1/14*t**4 + 10/21*t**3 - 10/7*t - 1/7*t**2. Find f, given that x(f) = 0.
-5, -1, 1
Let c(t) be the first derivative of t**4/4 - 2*t**3 - 27*t**2/2 + 7. Let y be c(9). Suppose 0*l + 2/9*l**3 + y + 0*l**2 = 0. What is l?
0
Let h(p) be the first derivative of 4 - 3/4*p**2 - p - 1/6*p**3. Factor h(m).
-(m + 1)*(m + 2)/2
Let s = -4909 - -4914. Let r(w) be the second derivative of 14*w - 3/2*w**4 - 2/3*w**3 - 3/10*w**s + 0*w**2 + 0 + 4/15*w**6. Factor r(z).
2*z*(z - 2)*(z + 1)*(4*z + 1)
Let l(t) = -13*t**3 + 16*t**2 + 9*t - 24. Let i(a) = -2 - 1 + 4 + a**3 + 5*a**3 + a**2 - 4*a**3 - a. Let c(v) = 4*i(v) + l(v). Factor c(b).
-5*(b - 4)*(b - 1)*(b + 1)
Let c(z) be the first derivative of -z**6/21 + 142*z**5/35 + 471*z**4/7 + 2916*z**3/7 + 1269*z**2 + 13446*z/7 - 624. Factor c(j).
-2*(j - 83)*(j + 3)**4/7
Find k, given that -805*k**2 - 2171*k**2 + 688*k + 666*k**4 + 1930*k**3 - 8520*k**5 + 8512*k**5 - 300*k**2 = 0.
-4, 0, 1/4, 1, 86
Let u(k) be the third derivative of -k**5/270 + 19*k**4/108 + 14*k**3/9 + 5*k**2 - 129. Determine m, given that u(m) = 0.
-2, 21
Determine x, given that 4*x**2 + 319 + 432 - 184*x - 571 = 0.
1, 45
Let -4187*t + 96 + 4*t**3 + 4323*t + 13*t**2 + 31*t**2 = 0. Calculate t.
-6, -4, -1
Suppose 4*k + 0*v - 5*v - 57 = 0, 0 = -4*k - 3*v + 17. Let g be 8 + (6 + -6 - k). Factor -2/3*w - 4/3*w**2 + g - 2/3*w**3.
-2*w*(w + 1)**2/3
Let g(j) be the second derivative of 31/2*j**2 + 0 + 1/60*j**5 - 1/2*j**4 + 6*j**3 + 28*j. Let s(q) be the first derivative of g(q). Let s(o) = 0. Calculate o.
6
Let -319 - 788*i + 323 + 240 - 4*i**2 + 548 = 0. Calculate i.
-198, 1
Let f(t) be the first derivative of t**7/294 - t**6/42 - t**5/28 + 15*t**4/28 - 54*t**2/7 - 42*t + 1. Let q(s) be the first derivative of f(s). Factor q(g).
(g - 3)**3*(g + 2)**2/7
Let s(v) = 8*v + 5. Let c be s(1). Factor 34*q**4 - 20*q - 40*q**3 + 6*q**5 + 4 - 14*q**4 - c*q**5 + 3*q**5 + 40*q**2.
-4*(q - 1)**5
Let g = -23 - -25. Suppose 5*k + 5*b = -5, -3*k - k + g*b + 14 = 0. Solve -22*w**4 + 3*w + w**3 - 21*w**4 + 5*w**k + 42*w**4 = 0.
-1, 0, 3
Let s(k) be the first derivative of 2*k**3/3 + 62*k**2 + 122*k + 2354. Suppose s(x) = 0. Calculate x.
-61, -1
Let n be (-1)/4 - (-714)/8. Let c = 473 + -329. Find i such that -308*i**3 + 39*i**2 - 9*i + 52*i**4 + n*i**2 + c*i**4 - 7*i = 0.
0, 2/7, 1
Factor 391/7*j - 1/7*j**4 + 19*j**3 - 130/7 - 393/7*j**2.
-(j - 130)*(j - 1)**3/7
Let s(o) be the third derivative of 3*o**8/112 + 4*o**7/21 + 179*o**6/360 + 49*o**5/90 + o**4/18 - 4*o**3/9 - o**2 + 266*o. Let s(l) = 0. What is l?
-2, -1, -2/3, 2/9
Let l(u) = -2276978*u**2 - 8536*u - 123. Let w(o) = 3415467